[{"author":[{"full_name":"Lukas, K. C.","last_name":"Lukas","first_name":"K. C."},{"full_name":"Joshi, G.","first_name":"G.","last_name":"Joshi"},{"id":"13C26AC0-EB69-11E9-87C6-5F3BE6697425","full_name":"Modic, Kimberly A","first_name":"Kimberly A","orcid":"0000-0001-9760-3147","last_name":"Modic"},{"full_name":"Ren, Z. F.","first_name":"Z. F.","last_name":"Ren"},{"last_name":"Opeil","first_name":"C. P.","full_name":"Opeil, C. P."}],"intvolume":"        47","article_type":"original","article_processing_charge":"No","year":"2012","extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Thermoelectric properties of Ho-doped Bi0.88Sb0.12","scopus_import":"1","issue":"15","oa_version":"Preprint","date_created":"2022-08-08T08:28:20Z","type":"journal_article","date_updated":"2022-08-11T09:34:39Z","_id":"11751","abstract":[{"lang":"eng","text":"The Seebeck coefficients, electrical resistivities, total thermal conductivities, and magnetization are reported for temperatures between 5 and 350 K for n-type Bi0.88Sb0.12 nano-composite alloys made by Ho-doping at the 0, 1, and 3 % atomic levels. The alloys were prepared using a dc hot-pressing method, and are shown to be single phase for both Ho contents with grain sizes on the average of 900 nm. We find the parent compound has a maximum of ZT = 0.28 at 231 K, while doping 1 % Ho increases the maximum ZT to 0.31 at 221 K and the 3 % doped sample suppresses the maximum ZT = 0.24 at a temperature of 260 K."}],"page":"5729-5734","date_published":"2012-08-01T00:00:00Z","citation":{"ama":"Lukas KC, Joshi G, Modic KA, Ren ZF, Opeil CP. Thermoelectric properties of Ho-doped Bi0.88Sb0.12. <i>Journal of Materials Science</i>. 2012;47(15):5729-5734. doi:<a href=\"https://doi.org/10.1007/s10853-012-6463-6\">10.1007/s10853-012-6463-6</a>","ieee":"K. C. Lukas, G. Joshi, K. A. Modic, Z. F. Ren, and C. P. Opeil, “Thermoelectric properties of Ho-doped Bi0.88Sb0.12,” <i>Journal of Materials Science</i>, vol. 47, no. 15. Springer Nature, pp. 5729–5734, 2012.","chicago":"Lukas, K. C., G. Joshi, Kimberly A Modic, Z. F. Ren, and C. P. Opeil. “Thermoelectric Properties of Ho-Doped Bi0.88Sb0.12.” <i>Journal of Materials Science</i>. Springer Nature, 2012. <a href=\"https://doi.org/10.1007/s10853-012-6463-6\">https://doi.org/10.1007/s10853-012-6463-6</a>.","ista":"Lukas KC, Joshi G, Modic KA, Ren ZF, Opeil CP. 2012. Thermoelectric properties of Ho-doped Bi0.88Sb0.12. Journal of Materials Science. 47(15), 5729–5734.","apa":"Lukas, K. C., Joshi, G., Modic, K. A., Ren, Z. F., &#38; Opeil, C. P. (2012). Thermoelectric properties of Ho-doped Bi0.88Sb0.12. <i>Journal of Materials Science</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10853-012-6463-6\">https://doi.org/10.1007/s10853-012-6463-6</a>","short":"K.C. Lukas, G. Joshi, K.A. Modic, Z.F. Ren, C.P. Opeil, Journal of Materials Science 47 (2012) 5729–5734.","mla":"Lukas, K. C., et al. “Thermoelectric Properties of Ho-Doped Bi0.88Sb0.12.” <i>Journal of Materials Science</i>, vol. 47, no. 15, Springer Nature, 2012, pp. 5729–34, doi:<a href=\"https://doi.org/10.1007/s10853-012-6463-6\">10.1007/s10853-012-6463-6</a>."},"language":[{"iso":"eng"}],"quality_controlled":"1","external_id":{"arxiv":["1201.6304"]},"status":"public","day":"01","publication_identifier":{"eissn":["1573-4803"],"issn":["0022-2461"]},"arxiv":1,"volume":47,"publication":"Journal of Materials Science","publication_status":"published","publisher":"Springer Nature","doi":"10.1007/s10853-012-6463-6","month":"08"},{"external_id":{"arxiv":["1209.6448"]},"quality_controlled":"1","publisher":"Springer Nature","publication_status":"published","publication":"8th International Workshop on Internet and Network Economics","volume":7695,"arxiv":1,"publication_identifier":{"isbn":["9783642353109"],"issn":["1611-3349"]},"day":"01","status":"public","main_file_link":[{"url":"https://arxiv.org/abs/1209.6448","open_access":"1"}],"month":"12","doi":"10.1007/978-3-642-35311-6_4","extern":"1","year":"2012","article_processing_charge":"No","related_material":{"record":[{"relation":"later_version","status":"public","id":"11794"}]},"intvolume":"      7695","author":[{"full_name":"Dütting, Paul","first_name":"Paul","last_name":"Dütting"},{"orcid":"0000-0002-5008-6530","last_name":"Henzinger","first_name":"Monika H","full_name":"Henzinger, Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630"},{"full_name":"Starnberger, Martin","last_name":"Starnberger","first_name":"Martin"}],"alternative_title":["LNCS"],"scopus_import":"1","conference":{"end_date":"2012-12-14","name":"WINE: International Conference on Web and Internet Economics","location":"Liverpool, United Kingdom","start_date":"2012-12-11"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Auctions with heterogeneous items and budget limits","type":"conference","oa_version":"Preprint","date_created":"2022-08-11T11:32:25Z","oa":1,"language":[{"iso":"eng"}],"date_published":"2012-12-01T00:00:00Z","citation":{"ista":"Dütting P, Henzinger M, Starnberger M. 2012. Auctions with heterogeneous items and budget limits. 8th International Workshop on Internet and Network Economics. WINE: International Conference on Web and Internet Economics, LNCS, vol. 7695, 44–57.","chicago":"Dütting, Paul, Monika Henzinger, and Martin Starnberger. “Auctions with Heterogeneous Items and Budget Limits.” In <i>8th International Workshop on Internet and Network Economics</i>, 7695:44–57. Springer Nature, 2012. <a href=\"https://doi.org/10.1007/978-3-642-35311-6_4\">https://doi.org/10.1007/978-3-642-35311-6_4</a>.","ama":"Dütting P, Henzinger M, Starnberger M. Auctions with heterogeneous items and budget limits. In: <i>8th International Workshop on Internet and Network Economics</i>. Vol 7695. Springer Nature; 2012:44–57. doi:<a href=\"https://doi.org/10.1007/978-3-642-35311-6_4\">10.1007/978-3-642-35311-6_4</a>","ieee":"P. Dütting, M. Henzinger, and M. Starnberger, “Auctions with heterogeneous items and budget limits,” in <i>8th International Workshop on Internet and Network Economics</i>, Liverpool, United Kingdom, 2012, vol. 7695, pp. 44–57.","mla":"Dütting, Paul, et al. “Auctions with Heterogeneous Items and Budget Limits.” <i>8th International Workshop on Internet and Network Economics</i>, vol. 7695, Springer Nature, 2012, pp. 44–57, doi:<a href=\"https://doi.org/10.1007/978-3-642-35311-6_4\">10.1007/978-3-642-35311-6_4</a>.","short":"P. Dütting, M. Henzinger, M. Starnberger, in:, 8th International Workshop on Internet and Network Economics, Springer Nature, 2012, pp. 44–57.","apa":"Dütting, P., Henzinger, M., &#38; Starnberger, M. (2012). Auctions with heterogeneous items and budget limits. In <i>8th International Workshop on Internet and Network Economics</i> (Vol. 7695, pp. 44–57). Liverpool, United Kingdom: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-642-35311-6_4\">https://doi.org/10.1007/978-3-642-35311-6_4</a>"},"page":"44–57","abstract":[{"text":"We study individual rational, Pareto optimal, and incentive compatible mechanisms for auctions with heterogeneous items and budget limits. For multi-dimensional valuations we show that there can be no deterministic mechanism with these properties for divisible items. We use this to show that there can also be no randomized mechanism that achieves this for either divisible or indivisible items. For single-dimensional valuations we show that there can be no deterministic mechanism with these properties for indivisible items, but that there is a randomized mechanism that achieves this for either divisible or indivisible items. The impossibility results hold for public budgets, while the mechanism allows private budgets, which is in both cases the harder variant to show. While all positive results are polynomial-time algorithms, all negative results hold independent of complexity considerations.","lang":"eng"}],"_id":"11794","date_updated":"2024-11-06T12:12:38Z"},{"conference":{"end_date":"2012-07-13","name":"ICALP: International Colloquium on Automata, Languages, and Programming","start_date":"2012-07-09","location":"Warwick, United Kingdom"},"title":"On multiple keyword sponsored search auctions with budgets","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","scopus_import":"1","alternative_title":["LNCS"],"author":[{"full_name":"Colini-Baldeschi, Riccardo","first_name":"Riccardo","last_name":"Colini-Baldeschi"},{"first_name":"Monika H","last_name":"Henzinger","orcid":"0000-0002-5008-6530","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","full_name":"Henzinger, Monika H"},{"full_name":"Leonardi, Stefano","first_name":"Stefano","last_name":"Leonardi"},{"last_name":"Starnberger","first_name":"Martin","full_name":"Starnberger, Martin"}],"intvolume":"      7392","related_material":{"record":[{"id":"11795","status":"public","relation":"later_version"}]},"year":"2012","article_processing_charge":"No","extern":"1","date_published":"2012-07-01T00:00:00Z","citation":{"ista":"Colini-Baldeschi R, Henzinger M, Leonardi S, Starnberger M. 2012. On multiple keyword sponsored search auctions with budgets. 39th International Colloquium on Automata, Languages, and Programming. ICALP: International Colloquium on Automata, Languages, and Programming, LNCS, vol. 7392, 1–12.","chicago":"Colini-Baldeschi, Riccardo, Monika Henzinger, Stefano Leonardi, and Martin Starnberger. “On Multiple Keyword Sponsored Search Auctions with Budgets.” In <i>39th International Colloquium on Automata, Languages, and Programming</i>, 7392:1–12. Springer Nature, 2012. <a href=\"https://doi.org/10.1007/978-3-642-31585-5_1\">https://doi.org/10.1007/978-3-642-31585-5_1</a>.","ama":"Colini-Baldeschi R, Henzinger M, Leonardi S, Starnberger M. On multiple keyword sponsored search auctions with budgets. In: <i>39th International Colloquium on Automata, Languages, and Programming</i>. Vol 7392. Springer Nature; 2012:1–12. doi:<a href=\"https://doi.org/10.1007/978-3-642-31585-5_1\">10.1007/978-3-642-31585-5_1</a>","ieee":"R. Colini-Baldeschi, M. Henzinger, S. Leonardi, and M. Starnberger, “On multiple keyword sponsored search auctions with budgets,” in <i>39th International Colloquium on Automata, Languages, and Programming</i>, Warwick, United Kingdom, 2012, vol. 7392, pp. 1–12.","short":"R. Colini-Baldeschi, M. Henzinger, S. Leonardi, M. Starnberger, in:, 39th International Colloquium on Automata, Languages, and Programming, Springer Nature, 2012, pp. 1–12.","mla":"Colini-Baldeschi, Riccardo, et al. “On Multiple Keyword Sponsored Search Auctions with Budgets.” <i>39th International Colloquium on Automata, Languages, and Programming</i>, vol. 7392, Springer Nature, 2012, pp. 1–12, doi:<a href=\"https://doi.org/10.1007/978-3-642-31585-5_1\">10.1007/978-3-642-31585-5_1</a>.","apa":"Colini-Baldeschi, R., Henzinger, M., Leonardi, S., &#38; Starnberger, M. (2012). On multiple keyword sponsored search auctions with budgets. In <i>39th International Colloquium on Automata, Languages, and Programming</i> (Vol. 7392, pp. 1–12). Warwick, United Kingdom: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-642-31585-5_1\">https://doi.org/10.1007/978-3-642-31585-5_1</a>"},"page":"1–12","abstract":[{"text":"We study multiple keyword sponsored search auctions with budgets. Each keyword has multiple ad slots with a click-through rate. The bidders have additive valuations, which are linear in the click-through rates, and budgets, which are restricting their overall payments. Additionally, the number of slots per keyword assigned to a bidder is bounded.\r\n\r\nWe show the following results: (1) We give the first mechanism for multiple keywords, where click-through rates differ among slots. Our mechanism is incentive compatible in expectation, individually rational in expectation, and Pareto optimal. (2) We study the combinatorial setting, where each bidder is only interested in a subset of the keywords. We give an incentive compatible, individually rational, Pareto optimal, and deterministic mechanism for identical click-through rates. (3) We give an impossibility result for incentive compatible, individually rational, Pareto optimal, and deterministic mechanisms for bidders with diminishing marginal valuations.","lang":"eng"}],"_id":"11795","date_updated":"2024-11-06T12:12:51Z","language":[{"iso":"eng"}],"date_created":"2022-08-11T11:46:51Z","oa_version":"None","type":"conference","day":"01","status":"public","publication_identifier":{"issn":["0302-9743"],"isbn":["9783642315848"]},"publication":"39th International Colloquium on Automata, Languages, and Programming","volume":7392,"publisher":"Springer Nature","publication_status":"published","quality_controlled":"1","doi":"10.1007/978-3-642-31585-5_1","month":"07"},{"language":[{"iso":"eng"}],"page":"6124-6128","citation":{"short":"G.S. Kumar, B. Pieber, K.R. Reddy, C.O. Kappe, Chemistry - A European Journal 18 (2012) 6124–6128.","mla":"Kumar, G. Sathish, et al. “Copper-Catalyzed Formation of C-O Bonds by Direct α-C-H Bond Activation of Ethers Using Stoichiometric Amounts of Peroxide in Batch and Continuous-Flow Formats.” <i>Chemistry - A European Journal</i>, vol. 18, no. 20, Wiley, 2012, pp. 6124–28, doi:<a href=\"https://doi.org/10.1002/chem.201200815\">10.1002/chem.201200815</a>.","apa":"Kumar, G. S., Pieber, B., Reddy, K. R., &#38; Kappe, C. O. (2012). Copper-catalyzed formation of C-O bonds by direct α-C-H bond activation of ethers using stoichiometric amounts of peroxide in batch and continuous-flow formats. <i>Chemistry - A European Journal</i>. Wiley. <a href=\"https://doi.org/10.1002/chem.201200815\">https://doi.org/10.1002/chem.201200815</a>","ieee":"G. S. Kumar, B. Pieber, K. R. Reddy, and C. O. Kappe, “Copper-catalyzed formation of C-O bonds by direct α-C-H bond activation of ethers using stoichiometric amounts of peroxide in batch and continuous-flow formats,” <i>Chemistry - A European Journal</i>, vol. 18, no. 20. Wiley, pp. 6124–6128, 2012.","ama":"Kumar GS, Pieber B, Reddy KR, Kappe CO. Copper-catalyzed formation of C-O bonds by direct α-C-H bond activation of ethers using stoichiometric amounts of peroxide in batch and continuous-flow formats. <i>Chemistry - A European Journal</i>. 2012;18(20):6124-6128. doi:<a href=\"https://doi.org/10.1002/chem.201200815\">10.1002/chem.201200815</a>","ista":"Kumar GS, Pieber B, Reddy KR, Kappe CO. 2012. Copper-catalyzed formation of C-O bonds by direct α-C-H bond activation of ethers using stoichiometric amounts of peroxide in batch and continuous-flow formats. Chemistry - A European Journal. 18(20), 6124–6128.","chicago":"Kumar, G. Sathish, Bartholomäus Pieber, K. Rajender Reddy, and C. Oliver Kappe. “Copper-Catalyzed Formation of C-O Bonds by Direct α-C-H Bond Activation of Ethers Using Stoichiometric Amounts of Peroxide in Batch and Continuous-Flow Formats.” <i>Chemistry - A European Journal</i>. Wiley, 2012. <a href=\"https://doi.org/10.1002/chem.201200815\">https://doi.org/10.1002/chem.201200815</a>."},"date_published":"2012-05-14T00:00:00Z","date_updated":"2023-02-21T10:09:33Z","_id":"11963","abstract":[{"lang":"eng","text":"Peroxides and ethers in flow: 2-Carbonyl-substituted phenols and β-ketoesters react safely with ethers in a microreactor environment using a copper catalyst and an organic peroxide (TBHP). This protocol results in unsymmetrical acetal scaffolds not easily available otherwise (see scheme)."}],"issue":"20","type":"journal_article","oa_version":"None","date_created":"2022-08-24T12:33:05Z","scopus_import":"1","title":"Copper-catalyzed formation of C-O bonds by direct α-C-H bond activation of ethers using stoichiometric amounts of peroxide in batch and continuous-flow formats","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"letter_note","author":[{"full_name":"Kumar, G. Sathish","first_name":"G. Sathish","last_name":"Kumar"},{"last_name":"Pieber","orcid":"0000-0001-8689-388X","first_name":"Bartholomäus","full_name":"Pieber, Bartholomäus","id":"93e5e5b2-0da6-11ed-8a41-af589a024726"},{"last_name":"Reddy","first_name":"K. Rajender","full_name":"Reddy, K. Rajender"},{"full_name":"Kappe, C. Oliver","last_name":"Kappe","first_name":"C. Oliver"}],"intvolume":"        18","extern":"1","year":"2012","article_processing_charge":"No","doi":"10.1002/chem.201200815","month":"05","publication_identifier":{"eissn":["1521-3765"],"issn":["0947-6539"]},"day":"14","pmid":1,"status":"public","publisher":"Wiley","publication_status":"published","publication":"Chemistry - A European Journal","volume":18,"external_id":{"pmid":["22492535"]},"quality_controlled":"1"},{"external_id":{"pmid":["22396386"]},"quality_controlled":"1","publication_identifier":{"eissn":["1521-3765"],"issn":["0947-6539"]},"status":"public","pmid":1,"day":"16","publication_status":"published","publisher":"Wiley","volume":18,"publication":"Chemistry – A European Journal","doi":"10.1002/chem.201103748","month":"04","article_type":"original","intvolume":"        18","author":[{"first_name":"Bartholomäus","orcid":"0000-0001-8689-388X","last_name":"Pieber","full_name":"Pieber, Bartholomäus","id":"93e5e5b2-0da6-11ed-8a41-af589a024726"},{"full_name":"Cantillo, David","first_name":"David","last_name":"Cantillo"},{"first_name":"C. Oliver","last_name":"Kappe","full_name":"Kappe, C. Oliver"}],"extern":"1","article_processing_charge":"No","year":"2012","scopus_import":"1","title":"Direct arylation of benzene with aryl bromides using high‐temperature/high‐pressure process windows: Expanding the scope of C-H activation chemistry","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"16","type":"journal_article","date_created":"2022-08-24T12:48:28Z","oa_version":"None","language":[{"iso":"eng"}],"_id":"11964","date_updated":"2023-02-21T10:09:35Z","abstract":[{"lang":"eng","text":"A detailed investigation on the direct arylation of benzene with aryl bromides by using first-row transition metals under high-temperature/high-pressure (high-T/p) conditions is described. By employing a parallel reactor platform for rapid reaction screening and discovery at elevated temperatures, various metal/ligand/base combinations were evaluated for their ability to enable biaryl formation through C-H activation. The combination of cobalt(III) acetylacetonate and lithium bis(trimethylsilyl)amide was subjected to further process intensification at 200 °C (15 bar), allowing a significant reduction of the catalyst/base loading and a dramatic increase in catalytic efficiency (turnover frequency) by a factor of 1000 compared to traditional protocols. The high-throughput screening additionally identified novel nickel- and copper-based metal/ligand combinations that favored an amination pathway competing with C-H activation, with the addition of ligands, such as 1,10-phenanthroline, having a profound influence on the selectivity. In addition to metal-based catalysts, high-T/p process windows were also successfully applied to transition-metal-free systems, utilizing 1,10-phenanthroline as organocatalyst."}],"date_published":"2012-04-16T00:00:00Z","page":"5047-5055","citation":{"ista":"Pieber B, Cantillo D, Kappe CO. 2012. Direct arylation of benzene with aryl bromides using high‐temperature/high‐pressure process windows: Expanding the scope of C-H activation chemistry. Chemistry – A European Journal. 18(16), 5047–5055.","chicago":"Pieber, Bartholomäus, David Cantillo, and C. Oliver Kappe. “Direct Arylation of Benzene with Aryl Bromides Using High‐temperature/High‐pressure Process Windows: Expanding the Scope of C-H Activation Chemistry.” <i>Chemistry – A European Journal</i>. Wiley, 2012. <a href=\"https://doi.org/10.1002/chem.201103748\">https://doi.org/10.1002/chem.201103748</a>.","ieee":"B. Pieber, D. Cantillo, and C. O. Kappe, “Direct arylation of benzene with aryl bromides using high‐temperature/high‐pressure process windows: Expanding the scope of C-H activation chemistry,” <i>Chemistry – A European Journal</i>, vol. 18, no. 16. Wiley, pp. 5047–5055, 2012.","ama":"Pieber B, Cantillo D, Kappe CO. Direct arylation of benzene with aryl bromides using high‐temperature/high‐pressure process windows: Expanding the scope of C-H activation chemistry. <i>Chemistry – A European Journal</i>. 2012;18(16):5047-5055. doi:<a href=\"https://doi.org/10.1002/chem.201103748\">10.1002/chem.201103748</a>","short":"B. Pieber, D. Cantillo, C.O. Kappe, Chemistry – A European Journal 18 (2012) 5047–5055.","mla":"Pieber, Bartholomäus, et al. “Direct Arylation of Benzene with Aryl Bromides Using High‐temperature/High‐pressure Process Windows: Expanding the Scope of C-H Activation Chemistry.” <i>Chemistry – A European Journal</i>, vol. 18, no. 16, Wiley, 2012, pp. 5047–55, doi:<a href=\"https://doi.org/10.1002/chem.201103748\">10.1002/chem.201103748</a>.","apa":"Pieber, B., Cantillo, D., &#38; Kappe, C. O. (2012). Direct arylation of benzene with aryl bromides using high‐temperature/high‐pressure process windows: Expanding the scope of C-H activation chemistry. <i>Chemistry – A European Journal</i>. Wiley. <a href=\"https://doi.org/10.1002/chem.201103748\">https://doi.org/10.1002/chem.201103748</a>"}},{"doi":"10.1126/science.1224839","month":"09","main_file_link":[{"url":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4034762/","open_access":"1"}],"pmid":1,"day":"14","status":"public","publication_identifier":{"eissn":["1095-9203"],"issn":["0036-8075"]},"publication":"Science","volume":337,"publisher":"American Association for the Advancement of Science","publication_status":"published","quality_controlled":"1","external_id":{"pmid":["22984074"]},"acknowledgement":"We thank S. Harmer for assistance with the analysis of histone modifications, the BioOptics team at the Vienna Biocenter Campus for sorting sperm and vegetative cell nuclei, K. Slotkin for the LAT52p-amiRNA=GFP plasmid, and G. Drews for the DD45p-GFP transgenic line. This work was partially funded by an NIH grant (GM69415) to R.L.F., NSF grants (MCB-0918821 and IOS-1025890) to R.L.F. and D.Z., a Young Investigator Grant from the Arnold and Mabel Beckman Foundation to D.Z., an Austrian Science Fund (FWF) grant P21389-B03 to H.T., a Ruth L. Kirschstein NIH Predoctoral Fellowship (GM093633) to C.A.I., a Fulbright Scholarship to J.A.R., a fellowship from the Jane Coffin Childs Memorial Fund to A.Z., and a Robert and Colleen Haas Scholarship to D.R. Sequencing data are deposited in GEO (GSE38935).","page":"1360-1364","date_published":"2012-09-14T00:00:00Z","department":[{"_id":"XiFe"}],"citation":{"ieee":"C. A. Ibarra <i>et al.</i>, “Active DNA demethylation in plant companion cells reinforces transposon methylation in gametes,” <i>Science</i>, vol. 337, no. 6100. American Association for the Advancement of Science, pp. 1360–1364, 2012.","ama":"Ibarra CA, Feng X, Schoft VK, et al. Active DNA demethylation in plant companion cells reinforces transposon methylation in gametes. <i>Science</i>. 2012;337(6100):1360-1364. doi:<a href=\"https://doi.org/10.1126/science.1224839\">10.1126/science.1224839</a>","chicago":"Ibarra, Christian A., Xiaoqi Feng, Vera K. Schoft, Tzung-Fu Hsieh, Rie Uzawa, Jessica A. Rodrigues, Assaf Zemach, et al. “Active DNA Demethylation in Plant Companion Cells Reinforces Transposon Methylation in Gametes.” <i>Science</i>. American Association for the Advancement of Science, 2012. <a href=\"https://doi.org/10.1126/science.1224839\">https://doi.org/10.1126/science.1224839</a>.","ista":"Ibarra CA, Feng X, Schoft VK, Hsieh T-F, Uzawa R, Rodrigues JA, Zemach A, Chumak N, Machlicova A, Nishimura T, Rojas D, Fischer RL, Tamaru H, Zilberman D. 2012. Active DNA demethylation in plant companion cells reinforces transposon methylation in gametes. Science. 337(6100), 1360–1364.","apa":"Ibarra, C. A., Feng, X., Schoft, V. K., Hsieh, T.-F., Uzawa, R., Rodrigues, J. A., … Zilberman, D. (2012). Active DNA demethylation in plant companion cells reinforces transposon methylation in gametes. <i>Science</i>. American Association for the Advancement of Science. <a href=\"https://doi.org/10.1126/science.1224839\">https://doi.org/10.1126/science.1224839</a>","mla":"Ibarra, Christian A., et al. “Active DNA Demethylation in Plant Companion Cells Reinforces Transposon Methylation in Gametes.” <i>Science</i>, vol. 337, no. 6100, American Association for the Advancement of Science, 2012, pp. 1360–64, doi:<a href=\"https://doi.org/10.1126/science.1224839\">10.1126/science.1224839</a>.","short":"C.A. Ibarra, X. Feng, V.K. Schoft, T.-F. Hsieh, R. Uzawa, J.A. Rodrigues, A. Zemach, N. Chumak, A. Machlicova, T. Nishimura, D. Rojas, R.L. Fischer, H. Tamaru, D. Zilberman, Science 337 (2012) 1360–1364."},"_id":"12198","abstract":[{"lang":"eng","text":"The Arabidopsis thaliana central cell, the companion cell of the egg, undergoes DNA demethylation before fertilization, but the targeting preferences, mechanism, and biological significance of this process remain unclear. Here, we show that active DNA demethylation mediated by the DEMETER DNA glycosylase accounts for all of the demethylation in the central cell and preferentially targets small, AT-rich, and nucleosome-depleted euchromatic transposable elements. The vegetative cell, the companion cell of sperm, also undergoes DEMETER-dependent demethylation of similar sequences, and lack of DEMETER in vegetative cells causes reduced small RNA–directed DNA methylation of transposons in sperm. Our results demonstrate that demethylation in companion cells reinforces transposon methylation in plant gametes and likely contributes to stable silencing of transposable elements across generations."}],"date_updated":"2025-01-14T12:37:28Z","language":[{"iso":"eng"}],"issue":"6100","oa":1,"date_created":"2023-01-16T09:21:24Z","oa_version":"Published Version","type":"journal_article","title":"Active DNA demethylation in plant companion cells reinforces transposon methylation in gametes","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","scopus_import":"1","author":[{"full_name":"Ibarra, Christian A.","last_name":"Ibarra","first_name":"Christian A."},{"last_name":"Feng","orcid":"0000-0002-4008-1234","first_name":"Xiaoqi","full_name":"Feng, Xiaoqi","id":"e0164712-22ee-11ed-b12a-d80fcdf35958"},{"first_name":"Vera K.","last_name":"Schoft","full_name":"Schoft, Vera K."},{"full_name":"Hsieh, Tzung-Fu","last_name":"Hsieh","first_name":"Tzung-Fu"},{"full_name":"Uzawa, Rie","first_name":"Rie","last_name":"Uzawa"},{"first_name":"Jessica A.","last_name":"Rodrigues","full_name":"Rodrigues, Jessica A."},{"last_name":"Zemach","first_name":"Assaf","full_name":"Zemach, Assaf"},{"last_name":"Chumak","first_name":"Nina","full_name":"Chumak, Nina"},{"full_name":"Machlicova, Adriana","last_name":"Machlicova","first_name":"Adriana"},{"full_name":"Nishimura, Toshiro","last_name":"Nishimura","first_name":"Toshiro"},{"first_name":"Denisse","last_name":"Rojas","full_name":"Rojas, Denisse"},{"full_name":"Fischer, Robert L.","last_name":"Fischer","first_name":"Robert L."},{"first_name":"Hisashi","last_name":"Tamaru","full_name":"Tamaru, Hisashi"},{"full_name":"Zilberman, Daniel","id":"6973db13-dd5f-11ea-814e-b3e5455e9ed1","first_name":"Daniel","last_name":"Zilberman","orcid":"0000-0002-0123-8649"}],"intvolume":"       337","article_type":"original","year":"2012","keyword":["Multidisciplinary"],"article_processing_charge":"No","extern":"1"},{"type":"journal_article","date_created":"2018-12-11T11:59:04Z","publist_id":"4210","issue":"2","month":"01","date_updated":"2021-01-12T06:59:03Z","_id":"2687","abstract":[{"lang":"eng","text":"Left-right asymmetry of human brain function has been known for a century, although much of molecular and cellular basis of brain laterality remains to be elusive. Recent studies suggest that hippocampal CA3-CA1 excitatory synapses are asymmetrically arranged, however, the functional implication of the asymmetrical circuitry has not been studied at the behavioral level. In order to address the left-right asymmetry of hippocampal function in behaving mice, we analyzed the performance of &quot;split-brain&quot; mice in the Barnes maze. The &quot;split-brain&quot; mice received ventral hippocampal commissure and corpus callosum transection in addition to deprivation of visual input from one eye. In such mice, the hippocampus in the side of visual deprivation receives sensory-driven input. Better spatial task performance was achieved by the mice which were forced to use the right hippocampus than those which were forced to use the left hippocampus. In two-choice spatial maze, forced usage of left hippocampus resulted in a comparable performance to the right counterpart, suggesting that both hippocampal hemispheres are capable of conducting spatial learning. Therefore, the results obtained from the Barnes maze suggest that the usage of the right hippocampus improves the accuracy of spatial memory. Performance of non-spatial yet hippocampus-dependent tasks (e.g. fear conditioning) was not influenced by the laterality of the hippocampus."}],"date_published":"2012-01-01T00:00:00Z","citation":{"ista":"Shinohara Y, Hosoya A, Yamasaki N, Ahmed H, Hattori S, Eguchi M, Yamaguchi S, Miyakawa T, Hirase H, Shigemoto R. 2012. Right-hemispheric dominance of spatial memory in split-brain mice. Hippocampus. 22(2), 117–121.","chicago":"Shinohara, Yoshiaki, Aki Hosoya, Nobuyuki Yamasaki, Hassan Ahmed, Satoko Hattori, Megumi Eguchi, Shun Yamaguchi, Tsuyoshi Miyakawa, Hajime Hirase, and Ryuichi Shigemoto. “Right-Hemispheric Dominance of Spatial Memory in Split-Brain Mice.” <i>Hippocampus</i>. Wiley-Blackwell, 2012. <a href=\"https://doi.org/10.1002/hipo.20886\">https://doi.org/10.1002/hipo.20886</a>.","ieee":"Y. Shinohara <i>et al.</i>, “Right-hemispheric dominance of spatial memory in split-brain mice,” <i>Hippocampus</i>, vol. 22, no. 2. Wiley-Blackwell, pp. 117–121, 2012.","ama":"Shinohara Y, Hosoya A, Yamasaki N, et al. Right-hemispheric dominance of spatial memory in split-brain mice. <i>Hippocampus</i>. 2012;22(2):117-121. doi:<a href=\"https://doi.org/10.1002/hipo.20886\">10.1002/hipo.20886</a>","mla":"Shinohara, Yoshiaki, et al. “Right-Hemispheric Dominance of Spatial Memory in Split-Brain Mice.” <i>Hippocampus</i>, vol. 22, no. 2, Wiley-Blackwell, 2012, pp. 117–21, doi:<a href=\"https://doi.org/10.1002/hipo.20886\">10.1002/hipo.20886</a>.","short":"Y. Shinohara, A. Hosoya, N. Yamasaki, H. Ahmed, S. Hattori, M. Eguchi, S. Yamaguchi, T. Miyakawa, H. Hirase, R. Shigemoto, Hippocampus 22 (2012) 117–121.","apa":"Shinohara, Y., Hosoya, A., Yamasaki, N., Ahmed, H., Hattori, S., Eguchi, M., … Shigemoto, R. (2012). Right-hemispheric dominance of spatial memory in split-brain mice. <i>Hippocampus</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1002/hipo.20886\">https://doi.org/10.1002/hipo.20886</a>"},"page":"117 - 121","doi":"10.1002/hipo.20886","extern":1,"year":"2012","author":[{"full_name":"Shinohara, Yoshiaki","first_name":"Yoshiaki","last_name":"Shinohara"},{"full_name":"Hosoya, Aki","last_name":"Hosoya","first_name":"Aki"},{"full_name":"Yamasaki, Nobuyuki","last_name":"Yamasaki","first_name":"Nobuyuki"},{"last_name":"Ahmed","first_name":"Hassan","full_name":"Ahmed, Hassan"},{"last_name":"Hattori","first_name":"Satoko","full_name":"Hattori, Satoko"},{"last_name":"Eguchi","first_name":"Megumi","full_name":"Eguchi, Megumi"},{"full_name":"Yamaguchi, Shun","first_name":"Shun","last_name":"Yamaguchi"},{"last_name":"Miyakawa","first_name":"Tsuyoshi","full_name":"Miyakawa, Tsuyoshi"},{"full_name":"Hirase, Hajime","last_name":"Hirase","first_name":"Hajime"},{"last_name":"Shigemoto","orcid":"0000-0001-8761-9444","first_name":"Ryuichi","full_name":"Ryuichi Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":0,"intvolume":"        22","publication_status":"published","publisher":"Wiley-Blackwell","volume":22,"publication":"Hippocampus","title":"Right-hemispheric dominance of spatial memory in split-brain mice","status":"public","day":"01"},{"status":"public","title":"Intra-synapse-type and inter-synapse-type relationships between synaptic size and AMPAR expression","day":"01","publication_status":"published","publisher":"Elsevier","volume":22,"publication":"Current Opinion in Neurobiology","author":[{"full_name":"Fukazawa, Yugo","last_name":"Fukazawa","first_name":"Yugo"},{"first_name":"Ryuichi","last_name":"Shigemoto","orcid":"0000-0001-8761-9444","full_name":"Ryuichi Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":0,"intvolume":"        22","extern":1,"year":"2012","doi":"10.1016/j.conb.2012.01.006","month":"06","date_updated":"2021-01-12T06:59:03Z","_id":"2688","abstract":[{"text":"To gain insights into structure-function relationship of excitatory synapses, we revisit our quantitative analysis of synaptic AMPAR by highly sensitive freeze-fracture replica labeling in eight different connections. All of these connections showed linear correlation between synapse size and AMPAR number indicating a common intra-synapse-type relationship in CNS synapses. On the contrary, inter-synapse-type relationship is unexpected indicating no correlation between averages of synapse size and AMPAR number. Interestingly, connections with large average synapse size and low AMPAR density showed high variability of AMPAR number and mosaic distribution within the postsynaptic membrane. We propose an idea that these connections may quickly exhibit synaptic plasticity by modifying AMPAR density/number whereas those with high AMPAR density change their efficacy by modifying synapse size.","lang":"eng"}],"page":"446 - 452","citation":{"ista":"Fukazawa Y, Shigemoto R. 2012. Intra-synapse-type and inter-synapse-type relationships between synaptic size and AMPAR expression. Current Opinion in Neurobiology. 22(3), 446–452.","chicago":"Fukazawa, Yugo, and Ryuichi Shigemoto. “Intra-Synapse-Type and Inter-Synapse-Type Relationships between Synaptic Size and AMPAR Expression.” <i>Current Opinion in Neurobiology</i>. Elsevier, 2012. <a href=\"https://doi.org/10.1016/j.conb.2012.01.006\">https://doi.org/10.1016/j.conb.2012.01.006</a>.","ieee":"Y. Fukazawa and R. Shigemoto, “Intra-synapse-type and inter-synapse-type relationships between synaptic size and AMPAR expression,” <i>Current Opinion in Neurobiology</i>, vol. 22, no. 3. Elsevier, pp. 446–452, 2012.","ama":"Fukazawa Y, Shigemoto R. Intra-synapse-type and inter-synapse-type relationships between synaptic size and AMPAR expression. <i>Current Opinion in Neurobiology</i>. 2012;22(3):446-452. doi:<a href=\"https://doi.org/10.1016/j.conb.2012.01.006\">10.1016/j.conb.2012.01.006</a>","short":"Y. Fukazawa, R. Shigemoto, Current Opinion in Neurobiology 22 (2012) 446–452.","mla":"Fukazawa, Yugo, and Ryuichi Shigemoto. “Intra-Synapse-Type and Inter-Synapse-Type Relationships between Synaptic Size and AMPAR Expression.” <i>Current Opinion in Neurobiology</i>, vol. 22, no. 3, Elsevier, 2012, pp. 446–52, doi:<a href=\"https://doi.org/10.1016/j.conb.2012.01.006\">10.1016/j.conb.2012.01.006</a>.","apa":"Fukazawa, Y., &#38; Shigemoto, R. (2012). Intra-synapse-type and inter-synapse-type relationships between synaptic size and AMPAR expression. <i>Current Opinion in Neurobiology</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.conb.2012.01.006\">https://doi.org/10.1016/j.conb.2012.01.006</a>"},"date_published":"2012-06-01T00:00:00Z","issue":"3","type":"journal_article","date_created":"2018-12-11T11:59:04Z","publist_id":"4209"},{"author":[{"first_name":"Laxmi","last_name":"Parajuli","full_name":"Parajuli, Laxmi K"},{"full_name":"Nakajima, Chikako","first_name":"Chikako","last_name":"Nakajima"},{"full_name":"Kulik, Ákos","first_name":"Ákos","last_name":"Kulik"},{"first_name":"Ko","last_name":"Matsui","full_name":"Matsui, Ko"},{"last_name":"Schneider","first_name":"Toni","full_name":"Schneider, Toni"},{"full_name":"Ryuichi Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8761-9444","last_name":"Shigemoto","first_name":"Ryuichi"},{"first_name":"Yugo","last_name":"Fukazawa","full_name":"Fukazawa, Yugo"}],"intvolume":"        32","quality_controlled":0,"extern":1,"year":"2012","day":"26","title":"Quantitative regional and ultra structural localization of the Ca v2 3 subunit of R type calcium channel in mouse brain","status":"public","publisher":"Society for Neuroscience","publication_status":"published","publication":"Journal of Neuroscience","volume":32,"issue":"39","type":"journal_article","publist_id":"4208","date_created":"2018-12-11T11:59:05Z","doi":"10.1523/JNEUROSCI.1142-12.2012","month":"09","date_published":"2012-09-26T00:00:00Z","citation":{"ama":"Parajuli L, Nakajima C, Kulik Á, et al. Quantitative regional and ultra structural localization of the Ca v2 3 subunit of R type calcium channel in mouse brain. <i>Journal of Neuroscience</i>. 2012;32(39):13555-13567. doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.1142-12.2012\">10.1523/JNEUROSCI.1142-12.2012</a>","ieee":"L. Parajuli <i>et al.</i>, “Quantitative regional and ultra structural localization of the Ca v2 3 subunit of R type calcium channel in mouse brain,” <i>Journal of Neuroscience</i>, vol. 32, no. 39. Society for Neuroscience, pp. 13555–13567, 2012.","ista":"Parajuli L, Nakajima C, Kulik Á, Matsui K, Schneider T, Shigemoto R, Fukazawa Y. 2012. Quantitative regional and ultra structural localization of the Ca v2 3 subunit of R type calcium channel in mouse brain. Journal of Neuroscience. 32(39), 13555–13567.","chicago":"Parajuli, Laxmi, Chikako Nakajima, Ákos Kulik, Ko Matsui, Toni Schneider, Ryuichi Shigemoto, and Yugo Fukazawa. “Quantitative Regional and Ultra Structural Localization of the Ca v2 3 Subunit of R Type Calcium Channel in Mouse Brain.” <i>Journal of Neuroscience</i>. Society for Neuroscience, 2012. <a href=\"https://doi.org/10.1523/JNEUROSCI.1142-12.2012\">https://doi.org/10.1523/JNEUROSCI.1142-12.2012</a>.","short":"L. Parajuli, C. Nakajima, Á. Kulik, K. Matsui, T. Schneider, R. Shigemoto, Y. Fukazawa, Journal of Neuroscience 32 (2012) 13555–13567.","mla":"Parajuli, Laxmi, et al. “Quantitative Regional and Ultra Structural Localization of the Ca v2 3 Subunit of R Type Calcium Channel in Mouse Brain.” <i>Journal of Neuroscience</i>, vol. 32, no. 39, Society for Neuroscience, 2012, pp. 13555–67, doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.1142-12.2012\">10.1523/JNEUROSCI.1142-12.2012</a>.","apa":"Parajuli, L., Nakajima, C., Kulik, Á., Matsui, K., Schneider, T., Shigemoto, R., &#38; Fukazawa, Y. (2012). Quantitative regional and ultra structural localization of the Ca v2 3 subunit of R type calcium channel in mouse brain. <i>Journal of Neuroscience</i>. Society for Neuroscience. <a href=\"https://doi.org/10.1523/JNEUROSCI.1142-12.2012\">https://doi.org/10.1523/JNEUROSCI.1142-12.2012</a>"},"page":"13555 - 13567","abstract":[{"lang":"eng","text":"R-type calcium channels (RTCCs) are well known for their role in synaptic plasticity, but little is known about their subcellular distribution across various neuronal compartments. Using subtype-specific antibodies, we characterized the regional and subcellular localization of Ca v2.3 in mice and rats at both light and electron microscopic levels. Ca v2.3 immunogold particles were found to be predominantly presynaptic in the interpeduncular nucleus, but postsynaptic in other brain regions. Serial section analysis of electron microscopic images from the hippocampal CA1 revealed a higher density of immunogold particles in the dendritic shaft plasma membrane compared with the pyramidal cell somata. However, the labeling densities were not significantly different among the apical, oblique, or basal dendrites. Immunogold particles were also observed over the plasma membrane of dendritic spines, including both synaptic and extrasynaptic sites. Individual spine heads contained &lt;20 immunogold particles, with an average density of ~260 immunoparticles per μm 3 spine head volume, in accordance with the density of RTCCs estimated using calcium imaging (Sabatini and Svoboda, 2000). The Ca v2.3 density was variable among similar-sized spine heads and did not correlate with the density in the parent dendrite, implying that spines are individual calcium compartments operating autonomously from their parent dendrites."}],"_id":"2689","date_updated":"2021-01-12T06:59:04Z"},{"citation":{"ieee":"L. Erdös, “Universality for random matrices and log-gases,” <i>ArXiv</i>. ArXiv, 2012.","ama":"Erdös L. Universality for random matrices and log-gases. <i>ArXiv</i>. 2012.","chicago":"Erdös, László. “Universality for Random Matrices and Log-Gases.” <i>ArXiv</i>. ArXiv, 2012.","ista":"Erdös L. 2012. Universality for random matrices and log-gases. ArXiv, .","apa":"Erdös, L. (2012). Universality for random matrices and log-gases. <i>ArXiv</i>. ArXiv.","short":"L. Erdös, ArXiv (2012).","mla":"Erdös, László. “Universality for Random Matrices and Log-Gases.” <i>ArXiv</i>, ArXiv, 2012."},"date_published":"2012-12-04T00:00:00Z","date_updated":"2021-01-12T06:59:06Z","_id":"2696","month":"12","publist_id":"4201","date_created":"2018-12-11T11:59:07Z","type":"preprint","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1212.0839"}],"oa":1,"publication":"ArXiv","publisher":"ArXiv","publication_status":"published","day":"04","title":"Universality for random matrices and log-gases","status":"public","year":"2012","extern":1,"author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös","first_name":"László","last_name":"Erdös","orcid":"0000-0001-5366-9603"}],"quality_controlled":0},{"oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1009.0843"}],"type":"conference","date_created":"2018-12-11T11:59:08Z","publist_id":"4196","month":"05","citation":{"ista":"Erdös L. 2012. Lecture notes on quantum Brownian motion. Les Houches Summer School 2010, Quantum Theory from Small to Large Scales, vol. 95, 3–98.","chicago":"Erdös, László. “Lecture Notes on Quantum Brownian Motion,” 95:3–98. Oxford University Press, 2012.","ieee":"L. Erdös, “Lecture notes on quantum Brownian motion,” presented at the Les Houches Summer School 2010, 2012, vol. 95, pp. 3–98.","ama":"Erdös L. Lecture notes on quantum Brownian motion. In: Vol 95. Oxford University Press; 2012:3-98.","mla":"Erdös, László. <i>Lecture Notes on Quantum Brownian Motion</i>. Vol. 95, Oxford University Press, 2012, pp. 3–98.","short":"L. Erdös, in:, Oxford University Press, 2012, pp. 3–98.","apa":"Erdös, L. (2012). Lecture notes on quantum Brownian motion (Vol. 95, pp. 3–98). Presented at the Les Houches Summer School 2010, Oxford University Press."},"date_published":"2012-05-24T00:00:00Z","page":"3 - 98","_id":"2700","date_updated":"2021-01-12T06:59:08Z","intvolume":"        95","quality_controlled":0,"author":[{"first_name":"László","orcid":"0000-0001-5366-9603","last_name":"Erdös","full_name":"László Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"}],"extern":1,"year":"2012","conference":{"name":"Les Houches Summer School 2010"},"day":"24","title":"Lecture notes on quantum Brownian motion","status":"public","alternative_title":["Quantum Theory from Small to Large Scales"],"publisher":"Oxford University Press","publication_status":"published","volume":95},{"related_material":{"record":[{"id":"1598","status":"public","relation":"later_version"}]},"author":[{"first_name":"Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu"},{"full_name":"Joglekar, Manas","first_name":"Manas","last_name":"Joglekar"},{"first_name":"Nisarg","last_name":"Shah","full_name":"Shah, Nisarg"}],"intvolume":"        18","year":"2012","scopus_import":1,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","title":"Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives","conference":{"name":"FSTTCS: Foundations of Software Technology and Theoretical Computer Science","end_date":"2012-12-17","location":"Hyderabad, India","start_date":"2012-12-15"},"alternative_title":["LIPIcs"],"oa":1,"type":"conference","date_created":"2018-12-11T11:59:13Z","oa_version":"Published Version","language":[{"iso":"eng"}],"has_accepted_license":"1","_id":"2715","date_updated":"2025-09-23T08:00:31Z","abstract":[{"text":"We consider Markov decision processes (MDPs) with specifications given as Büchi (liveness) objectives. We consider the problem of computing the set of almost-sure winning vertices from where the objective can be ensured with probability 1. We study for the first time the average case complexity of the classical algorithm for computing the set of almost-sure winning vertices for MDPs with Büchi objectives. Our contributions are as follows: First, we show that for MDPs with constant out-degree the expected number of iterations is at most logarithmic and the average case running time is linear (as compared to the worst case linear number of iterations and quadratic time complexity). Second, for the average case analysis over all MDPs we show that the expected number of iterations is constant and the average case running time is linear (again as compared to the worst case linear number of iterations and quadratic time complexity). Finally we also show that given that all MDPs are equally likely, the probability that the classical algorithm requires more than constant number of iterations is exponentially small.","lang":"eng"}],"page":"461 - 473","date_published":"2012-12-10T00:00:00Z","citation":{"short":"K. Chatterjee, M. Joglekar, N. Shah, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012, pp. 461–473.","mla":"Chatterjee, Krishnendu, et al. <i>Average Case Analysis of the Classical Algorithm for Markov Decision Processes with Büchi Objectives</i>. Vol. 18, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012, pp. 461–73, doi:<a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461\">10.4230/LIPIcs.FSTTCS.2012.461</a>.","apa":"Chatterjee, K., Joglekar, M., &#38; Shah, N. (2012). Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives (Vol. 18, pp. 461–473). Presented at the FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Hyderabad, India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461\">https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461</a>","ista":"Chatterjee K, Joglekar M, Shah N. 2012. Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives. FSTTCS: Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol. 18, 461–473.","chicago":"Chatterjee, Krishnendu, Manas Joglekar, and Nisarg Shah. “Average Case Analysis of the Classical Algorithm for Markov Decision Processes with Büchi Objectives,” 18:461–73. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012. <a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461\">https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461</a>.","ama":"Chatterjee K, Joglekar M, Shah N. Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives. In: Vol 18. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2012:461-473. doi:<a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461\">10.4230/LIPIcs.FSTTCS.2012.461</a>","ieee":"K. Chatterjee, M. Joglekar, and N. Shah, “Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives,” presented at the FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Hyderabad, India, 2012, vol. 18, pp. 461–473."},"department":[{"_id":"KrCh"}],"ddc":["000"],"quality_controlled":"1","file":[{"access_level":"open_access","file_name":"IST-2016-525-v1+1_42_1_.pdf","file_size":519040,"checksum":"d4d644ed1a885dbfc4fa1ef4c5724dab","content_type":"application/pdf","creator":"system","date_updated":"2020-07-14T12:45:45Z","file_id":"5040","date_created":"2018-12-12T10:13:53Z","relation":"main_file"}],"status":"public","day":"10","publication_status":"published","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"},"volume":18,"ec_funded":1,"publist_id":"4180","project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23","call_identifier":"FWF"},{"_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"S11407","name":"Game Theory"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","call_identifier":"FP7"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"pubrep_id":"525","file_date_updated":"2020-07-14T12:45:45Z","doi":"10.4230/LIPIcs.FSTTCS.2012.461","month":"12"},{"publist_id":"4123","date_created":"2018-12-11T11:59:29Z","type":"journal_article","issue":"1-2","date_published":"2012-10-01T00:00:00Z","citation":{"apa":"Erdös, L., Yau, H., &#38; Yin, J. (2012). Bulk universality for generalized Wigner matrices. <i>Probability Theory and Related Fields</i>. Springer. <a href=\"https://doi.org/10.1007/s00440-011-0390-3\">https://doi.org/10.1007/s00440-011-0390-3</a>","mla":"Erdös, László, et al. “Bulk Universality for Generalized Wigner Matrices.” <i>Probability Theory and Related Fields</i>, vol. 154, no. 1–2, Springer, 2012, pp. 341–407, doi:<a href=\"https://doi.org/10.1007/s00440-011-0390-3\">10.1007/s00440-011-0390-3</a>.","short":"L. Erdös, H. Yau, J. Yin, Probability Theory and Related Fields 154 (2012) 341–407.","chicago":"Erdös, László, Horng Yau, and Jun Yin. “Bulk Universality for Generalized Wigner Matrices.” <i>Probability Theory and Related Fields</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00440-011-0390-3\">https://doi.org/10.1007/s00440-011-0390-3</a>.","ista":"Erdös L, Yau H, Yin J. 2012. Bulk universality for generalized Wigner matrices. Probability Theory and Related Fields. 154(1–2), 341–407.","ama":"Erdös L, Yau H, Yin J. Bulk universality for generalized Wigner matrices. <i>Probability Theory and Related Fields</i>. 2012;154(1-2):341-407. doi:<a href=\"https://doi.org/10.1007/s00440-011-0390-3\">10.1007/s00440-011-0390-3</a>","ieee":"L. Erdös, H. Yau, and J. Yin, “Bulk universality for generalized Wigner matrices,” <i>Probability Theory and Related Fields</i>, vol. 154, no. 1–2. Springer, pp. 341–407, 2012."},"page":"341 - 407","_id":"2767","date_updated":"2021-01-12T06:59:33Z","abstract":[{"lang":"eng","text":"Consider N × N Hermitian or symmetric random matrices H where the distribution of the (i, j) matrix element is given by a probability measure ν ij with a subexponential decay. Let σ ij 2 be the variance for the probability measure ν ij with the normalization property that Σ iσ i,j 2 = 1 for all j. Under essentially the only condition that c ≤ N σ ij 2 ≤ c -1 for some constant c &gt; 0, we prove that, in the limit N → ∞, the eigenvalue spacing statistics of H in the bulk of the spectrum coincide with those of the Gaussian unitary or orthogonal ensemble (GUE or GOE). We also show that for band matrices with bandwidth M the local semicircle law holds to the energy scale M -1. "}],"month":"10","doi":"10.1007/s00440-011-0390-3","year":"2012","extern":1,"quality_controlled":0,"intvolume":"       154","author":[{"full_name":"László Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös","orcid":"0000-0001-5366-9603"},{"full_name":"Yau, Horng-Tzer","last_name":"Yau","first_name":"Horng"},{"last_name":"Yin","first_name":"Jun","full_name":"Yin, Jun"}],"publication":"Probability Theory and Related Fields","volume":154,"publisher":"Springer","publication_status":"published","day":"01","title":"Bulk universality for generalized Wigner matrices","status":"public"},{"issue":"2","date_created":"2018-12-11T11:59:30Z","publist_id":"4122","type":"journal_article","doi":"10.1007/s00220-011-1373-z","date_published":"2012-01-01T00:00:00Z","page":"507 - 542","citation":{"ama":"Erdös L, Hasler D. Wegner estimate and Anderson localization for random magnetic fields. <i>Communications in Mathematical Physics</i>. 2012;309(2):507-542. doi:<a href=\"https://doi.org/10.1007/s00220-011-1373-z\">10.1007/s00220-011-1373-z</a>","ieee":"L. Erdös and D. Hasler, “Wegner estimate and Anderson localization for random magnetic fields,” <i>Communications in Mathematical Physics</i>, vol. 309, no. 2. Springer, pp. 507–542, 2012.","ista":"Erdös L, Hasler D. 2012. Wegner estimate and Anderson localization for random magnetic fields. Communications in Mathematical Physics. 309(2), 507–542.","chicago":"Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization for Random Magnetic Fields.” <i>Communications in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00220-011-1373-z\">https://doi.org/10.1007/s00220-011-1373-z</a>.","short":"L. Erdös, D. Hasler, Communications in Mathematical Physics 309 (2012) 507–542.","mla":"Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization for Random Magnetic Fields.” <i>Communications in Mathematical Physics</i>, vol. 309, no. 2, Springer, 2012, pp. 507–42, doi:<a href=\"https://doi.org/10.1007/s00220-011-1373-z\">10.1007/s00220-011-1373-z</a>.","apa":"Erdös, L., &#38; Hasler, D. (2012). Wegner estimate and Anderson localization for random magnetic fields. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-011-1373-z\">https://doi.org/10.1007/s00220-011-1373-z</a>"},"_id":"2768","abstract":[{"lang":"eng","text":"We consider a two dimensional magnetic Schrödinger operator with a spatially stationary random magnetic field. We assume that the magnetic field has a positive lower bound and that it has Fourier modes on arbitrarily short scales. We prove the Wegner estimate at arbitrary energy, i. e. we show that the averaged density of states is finite throughout the whole spectrum. We also prove Anderson localization at the bottom of the spectrum."}],"date_updated":"2021-01-12T06:59:34Z","month":"01","intvolume":"       309","quality_controlled":0,"author":[{"first_name":"László","last_name":"Erdös","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös"},{"first_name":"David","last_name":"Hasler","full_name":"Hasler, David G"}],"year":"2012","extern":1,"day":"01","status":"public","title":"Wegner estimate and Anderson localization for random magnetic fields","publication":"Communications in Mathematical Physics","volume":309,"publisher":"Springer","publication_status":"published"},{"intvolume":"        48","quality_controlled":0,"author":[{"first_name":"László","last_name":"Erdös","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"full_name":"Yau, Horng-Tzer","first_name":"Horng","last_name":"Yau"},{"last_name":"Yin","first_name":"Jun","full_name":"Yin, Jun"}],"extern":1,"year":"2012","title":"The local relaxation flow approach to universality of the local statistics for random matrices","status":"public","day":"01","publication_status":"published","publisher":"Institute of Mathematical Statistics","volume":48,"publication":"Annales de l'institut Henri Poincare (B) Probability and Statistics","issue":"1","type":"journal_article","date_created":"2018-12-11T11:59:30Z","publist_id":"4121","doi":"10.1214/10-AIHP388","month":"02","_id":"2769","date_updated":"2021-01-12T06:59:34Z","abstract":[{"lang":"eng","text":"We present a generalization of the method of the local relaxation flow to establish the universality of local spectral statistics of a broad class of large random matrices. We show that the local distribution of the eigenvalues coincides with the local statistics of the corresponding Gaussian ensemble provided the distribution of the individual matrix element is smooth and the eigenvalues {X J} N j=1 are close to their classical location {y j} N j=1 determined by the limiting density of eigenvalues. Under the scaling where the typical distance between neighboring eigenvalues is of order 1/N, the necessary apriori estimate on the location of eigenvalues requires only to know that E|x j - γ j| 2 ≤ N-1-ε on average. This information can be obtained by well established methods for various matrix ensembles. We demonstrate the method by proving local spectral universality for sample covariance matrices."}],"citation":{"mla":"Erdös, László, et al. “The Local Relaxation Flow Approach to Universality of the Local Statistics for Random Matrices.” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>, vol. 48, no. 1, Institute of Mathematical Statistics, 2012, pp. 1–46, doi:<a href=\"https://doi.org/10.1214/10-AIHP388\">10.1214/10-AIHP388</a>.","short":"L. Erdös, B. Schlein, H. Yau, J. Yin, Annales de l’institut Henri Poincare (B) Probability and Statistics 48 (2012) 1–46.","apa":"Erdös, L., Schlein, B., Yau, H., &#38; Yin, J. (2012). The local relaxation flow approach to universality of the local statistics for random matrices. <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/10-AIHP388\">https://doi.org/10.1214/10-AIHP388</a>","ieee":"L. Erdös, B. Schlein, H. Yau, and J. Yin, “The local relaxation flow approach to universality of the local statistics for random matrices,” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>, vol. 48, no. 1. Institute of Mathematical Statistics, pp. 1–46, 2012.","ama":"Erdös L, Schlein B, Yau H, Yin J. The local relaxation flow approach to universality of the local statistics for random matrices. <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. 2012;48(1):1-46. doi:<a href=\"https://doi.org/10.1214/10-AIHP388\">10.1214/10-AIHP388</a>","ista":"Erdös L, Schlein B, Yau H, Yin J. 2012. The local relaxation flow approach to universality of the local statistics for random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 48(1), 1–46.","chicago":"Erdös, László, Benjamin Schlein, Horng Yau, and Jun Yin. “The Local Relaxation Flow Approach to Universality of the Local Statistics for Random Matrices.” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. Institute of Mathematical Statistics, 2012. <a href=\"https://doi.org/10.1214/10-AIHP388\">https://doi.org/10.1214/10-AIHP388</a>."},"page":"1 - 46","date_published":"2012-02-01T00:00:00Z"},{"quality_controlled":0,"author":[{"full_name":"László Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","orcid":"0000-0001-5366-9603","first_name":"László"},{"full_name":"Yau, Horng-Tzer","first_name":"Horng","last_name":"Yau"},{"first_name":"Jun","last_name":"Yin","full_name":"Yin, Jun"}],"intvolume":"       229","extern":1,"year":"2012","status":"public","title":"Rigidity of eigenvalues of generalized Wigner matrices","day":"15","publication_status":"published","publisher":"Academic Press","volume":229,"publication":"Advances in Mathematics","issue":"3","type":"journal_article","date_created":"2018-12-11T11:59:30Z","publist_id":"4120","doi":"10.1016/j.aim.2011.12.010","month":"02","_id":"2770","abstract":[{"lang":"eng","text":"Consider N×N Hermitian or symmetric random matrices H with independent entries, where the distribution of the (i,j) matrix element is given by the probability measure vij with zero expectation and with variance σ ιj 2. We assume that the variances satisfy the normalization condition Σiσij2=1 for all j and that there is a positive constant c such that c≤Nσ ιj 2 ιc -1. We further assume that the probability distributions νij have a uniform subexponential decay. We prove that the Stieltjes transform of the empirical eigenvalue distribution of H is given by the Wigner semicircle law uniformly up to the edges of the spectrum with an error of order (Nη) -1 where η is the imaginary part of the spectral parameter in the Stieltjes transform. There are three corollaries to this strong local semicircle law: (1) Rigidity of eigenvalues: If γj=γj,N denotes the classical location of the j-th eigenvalue under the semicircle law ordered in increasing order, then the j-th eigenvalue λj is close to γj in the sense that for some positive constants C, c P{double-struck}(∃j:|λ j-γ j|≥(logN) CloglogN[min(j,N-j+1)] -1/3N -2/3)≤ C exp[-(logN) cloglogN] for N large enough. (2) The proof of Dyson's conjecture (Dyson, 1962 [15]) which states that the time scale of the Dyson Brownian motion to reach local equilibrium is of order N -1 up to logarithmic corrections. (3) The edge universality holds in the sense that the probability distributions of the largest (and the smallest) eigenvalues of two generalized Wigner ensembles are the same in the large N limit provided that the second moments of the two ensembles are identical."}],"date_updated":"2021-01-12T06:59:35Z","date_published":"2012-02-15T00:00:00Z","citation":{"apa":"Erdös, L., Yau, H., &#38; Yin, J. (2012). Rigidity of eigenvalues of generalized Wigner matrices. <i>Advances in Mathematics</i>. Academic Press. <a href=\"https://doi.org/10.1016/j.aim.2011.12.010\">https://doi.org/10.1016/j.aim.2011.12.010</a>","mla":"Erdös, László, et al. “Rigidity of Eigenvalues of Generalized Wigner Matrices.” <i>Advances in Mathematics</i>, vol. 229, no. 3, Academic Press, 2012, pp. 1435–515, doi:<a href=\"https://doi.org/10.1016/j.aim.2011.12.010\">10.1016/j.aim.2011.12.010</a>.","short":"L. Erdös, H. Yau, J. Yin, Advances in Mathematics 229 (2012) 1435–1515.","chicago":"Erdös, László, Horng Yau, and Jun Yin. “Rigidity of Eigenvalues of Generalized Wigner Matrices.” <i>Advances in Mathematics</i>. Academic Press, 2012. <a href=\"https://doi.org/10.1016/j.aim.2011.12.010\">https://doi.org/10.1016/j.aim.2011.12.010</a>.","ista":"Erdös L, Yau H, Yin J. 2012. Rigidity of eigenvalues of generalized Wigner matrices. Advances in Mathematics. 229(3), 1435–1515.","ama":"Erdös L, Yau H, Yin J. Rigidity of eigenvalues of generalized Wigner matrices. <i>Advances in Mathematics</i>. 2012;229(3):1435-1515. doi:<a href=\"https://doi.org/10.1016/j.aim.2011.12.010\">10.1016/j.aim.2011.12.010</a>","ieee":"L. Erdös, H. Yau, and J. Yin, “Rigidity of eigenvalues of generalized Wigner matrices,” <i>Advances in Mathematics</i>, vol. 229, no. 3. Academic Press, pp. 1435–1515, 2012."},"page":"1435 - 1515"},{"issue":"5","date_created":"2018-12-11T11:59:31Z","publist_id":"4119","type":"journal_article","doi":"10.1007/s10955-012-0445-6","_id":"2771","date_updated":"2021-01-12T06:59:35Z","abstract":[{"lang":"eng","text":"We consider a magnetic Schrödinger operator in two dimensions. The magnetic field is given as the sum of a large and constant magnetic field and a random magnetic field. Moreover, we allow for an additional deterministic potential as well as a magnetic field which are both periodic. We show that the spectrum of this operator is contained in broadened bands around the Landau levels and that the edges of these bands consist of pure point spectrum with exponentially decaying eigenfunctions. The proof is based on a recent Wegner estimate obtained in Erdos and Hasler (Commun. Math. Phys., preprint, arXiv:1012.5185) and a multiscale analysis."}],"date_published":"2012-03-01T00:00:00Z","citation":{"ista":"Erdös L, Hasler D. 2012. Anderson localization at band edges for random magnetic fields. Journal of Statistical Physics. 146(5), 900–923.","chicago":"Erdös, László, and David Hasler. “Anderson Localization at Band Edges for Random Magnetic Fields.” <i>Journal of Statistical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s10955-012-0445-6\">https://doi.org/10.1007/s10955-012-0445-6</a>.","ama":"Erdös L, Hasler D. Anderson localization at band edges for random magnetic fields. <i>Journal of Statistical Physics</i>. 2012;146(5):900-923. doi:<a href=\"https://doi.org/10.1007/s10955-012-0445-6\">10.1007/s10955-012-0445-6</a>","ieee":"L. Erdös and D. Hasler, “Anderson localization at band edges for random magnetic fields,” <i>Journal of Statistical Physics</i>, vol. 146, no. 5. Springer, pp. 900–923, 2012.","short":"L. Erdös, D. Hasler, Journal of Statistical Physics 146 (2012) 900–923.","mla":"Erdös, László, and David Hasler. “Anderson Localization at Band Edges for Random Magnetic Fields.” <i>Journal of Statistical Physics</i>, vol. 146, no. 5, Springer, 2012, pp. 900–23, doi:<a href=\"https://doi.org/10.1007/s10955-012-0445-6\">10.1007/s10955-012-0445-6</a>.","apa":"Erdös, L., &#38; Hasler, D. (2012). Anderson localization at band edges for random magnetic fields. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-012-0445-6\">https://doi.org/10.1007/s10955-012-0445-6</a>"},"page":"900 - 923","month":"03","author":[{"last_name":"Erdös","orcid":"0000-0001-5366-9603","first_name":"László","full_name":"László Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Hasler, David G","first_name":"David","last_name":"Hasler"}],"quality_controlled":0,"intvolume":"       146","year":"2012","extern":1,"status":"public","title":"Anderson localization at band edges for random magnetic fields","day":"01","volume":146,"publication":"Journal of Statistical Physics","publication_status":"published","publisher":"Springer"},{"date_updated":"2021-01-12T06:59:36Z","_id":"2772","abstract":[{"text":"We consider the semiclassical asymptotics of the sum of negative eigenvalues of the three-dimensional Pauli operator with an external potential and a self-generated magnetic field B. We also add the field energy β ∫ B 2 and we minimize over all magnetic fields. The parameter β effectively determines the strength of the field. We consider the weak field regime with βh 2 ≥ const &gt; 0, where h is the semiclassical parameter. For smooth potentials we prove that the semiclassical asymptotics of the total energy is given by the non-magnetic Weyl term to leading order with an error bound that is smaller by a factor h 1+e{open}, i. e. the subleading term vanishes. However for potentials with a Coulomb singularity, the subleading term does not vanish due to the non-semiclassical effect of the singularity. Combined with a multiscale technique, this refined estimate is used in the companion paper (Erdo{double acute}s et al. in Scott correction for large molecules with a self-generated magnetic field, Preprint, 2011) to prove the second order Scott correction to the ground state energy of large atoms and molecules.","lang":"eng"}],"page":"671 - 730","date_published":"2012-05-01T00:00:00Z","citation":{"ieee":"L. Erdös, S. Fournais, and J. Solovej, “Second order semiclassics with self generated magnetic fields,” <i>Annales Henri Poincare</i>, vol. 13, no. 4. Birkhäuser, pp. 671–730, 2012.","ama":"Erdös L, Fournais S, Solovej J. Second order semiclassics with self generated magnetic fields. <i>Annales Henri Poincare</i>. 2012;13(4):671-730. doi:<a href=\"https://doi.org/10.1007/s00023-011-0150-z\">10.1007/s00023-011-0150-z</a>","chicago":"Erdös, László, Søren Fournais, and Jan Solovej. “Second Order Semiclassics with Self Generated Magnetic Fields.” <i>Annales Henri Poincare</i>. Birkhäuser, 2012. <a href=\"https://doi.org/10.1007/s00023-011-0150-z\">https://doi.org/10.1007/s00023-011-0150-z</a>.","ista":"Erdös L, Fournais S, Solovej J. 2012. Second order semiclassics with self generated magnetic fields. Annales Henri Poincare. 13(4), 671–730.","apa":"Erdös, L., Fournais, S., &#38; Solovej, J. (2012). Second order semiclassics with self generated magnetic fields. <i>Annales Henri Poincare</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00023-011-0150-z\">https://doi.org/10.1007/s00023-011-0150-z</a>","short":"L. Erdös, S. Fournais, J. Solovej, Annales Henri Poincare 13 (2012) 671–730.","mla":"Erdös, László, et al. “Second Order Semiclassics with Self Generated Magnetic Fields.” <i>Annales Henri Poincare</i>, vol. 13, no. 4, Birkhäuser, 2012, pp. 671–730, doi:<a href=\"https://doi.org/10.1007/s00023-011-0150-z\">10.1007/s00023-011-0150-z</a>."},"month":"05","doi":"10.1007/s00023-011-0150-z","date_created":"2018-12-11T11:59:31Z","publist_id":"4118","type":"journal_article","issue":"4","volume":13,"publication":"Annales Henri Poincare","publication_status":"published","publisher":"Birkhäuser","title":"Second order semiclassics with self generated magnetic fields","status":"public","day":"01","year":"2012","extern":1,"author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös","last_name":"Erdös","orcid":"0000-0001-5366-9603","first_name":"László"},{"last_name":"Fournais","first_name":"Søren","full_name":"Fournais, Søren"},{"first_name":"Jan","last_name":"Solovej","full_name":"Solovej, Jan P"}],"quality_controlled":0,"intvolume":"        13"},{"type":"journal_article","date_created":"2018-12-11T11:59:31Z","publist_id":"4117","month":"04","abstract":[{"text":"Recently we proved [3, 4, 6, 7, 9, 10, 11] that the eigenvalue correlation functions of a general class of random matrices converge, weakly with respect to the energy, to the corresponding ones of Gaussian matrices. Tao and Vu [15] gave a proof that for the special case of Hermitian Wigner matrices the convergence can be strengthened to vague convergence at any fixed energy in the bulk. In this article we show that this theorem is an immediate corollary of our earlier results. Indeed, a more general form of this theorem also follows directly from our work [2].","lang":"eng"}],"_id":"2773","date_updated":"2021-01-12T06:59:36Z","citation":{"ieee":"L. Erdös and H. Yau, “A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices,” <i>Electronic Journal of Probability</i>, vol. 17. Institute of Mathematical Statistics, 2012.","ama":"Erdös L, Yau H. A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. <i>Electronic Journal of Probability</i>. 2012;17. doi:<a href=\"https://doi.org/10.1214/EJP.v17-1779\">10.1214/EJP.v17-1779</a>","chicago":"Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices.” <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics, 2012. <a href=\"https://doi.org/10.1214/EJP.v17-1779\">https://doi.org/10.1214/EJP.v17-1779</a>.","ista":"Erdös L, Yau H. 2012. A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Electronic Journal of Probability. 17.","apa":"Erdös, L., &#38; Yau, H. (2012). A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/EJP.v17-1779\">https://doi.org/10.1214/EJP.v17-1779</a>","short":"L. Erdös, H. Yau, Electronic Journal of Probability 17 (2012).","mla":"Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices.” <i>Electronic Journal of Probability</i>, vol. 17, Institute of Mathematical Statistics, 2012, doi:<a href=\"https://doi.org/10.1214/EJP.v17-1779\">10.1214/EJP.v17-1779</a>."},"date_published":"2012-04-10T00:00:00Z","doi":"10.1214/EJP.v17-1779","extern":1,"year":"2012","intvolume":"        17","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös","last_name":"Erdös","orcid":"0000-0001-5366-9603","first_name":"László"},{"full_name":"Yau, Horng-Tzer","last_name":"Yau","first_name":"Horng"}],"quality_controlled":0,"publication_status":"published","publisher":"Institute of Mathematical Statistics","volume":17,"publication":"Electronic Journal of Probability","title":"A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices","status":"public","day":"10"},{"issue":"3","publist_id":"4116","date_created":"2018-12-11T11:59:31Z","type":"journal_article","doi":"10.1007/s00220-012-1468-1","_id":"2774","date_updated":"2021-01-12T06:59:36Z","abstract":[{"text":"We consider a large neutral molecule with total nuclear charge Z in non-relativistic quantum mechanics with a self-generated classical electromagnetic field. To ensure stability, we assume that Zα 2 ≤ κ 0 for a sufficiently small κ 0, where α denotes the fine structure constant. We show that, in the simultaneous limit Z → ∞, α → 0 such that κ = Zα 2 is fixed, the ground state energy of the system is given by a two term expansion c 1Z 7/3 + c 2(κ) Z 2 + o(Z 2). The leading term is given by the non-magnetic Thomas-Fermi theory. Our result shows that the magnetic field affects only the second (so-called Scott) term in the expansion.","lang":"eng"}],"date_published":"2012-06-01T00:00:00Z","page":"847 - 882","citation":{"ista":"Erdös L, Fournais S, Solovej J. 2012. Scott correction for large atoms and molecules in a self-generated magnetic field. Communications in Mathematical Physics. 312(3), 847–882.","chicago":"Erdös, László, Søren Fournais, and Jan Solovej. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.” <i>Communications in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00220-012-1468-1\">https://doi.org/10.1007/s00220-012-1468-1</a>.","ieee":"L. Erdös, S. Fournais, and J. Solovej, “Scott correction for large atoms and molecules in a self-generated magnetic field,” <i>Communications in Mathematical Physics</i>, vol. 312, no. 3. Springer, pp. 847–882, 2012.","ama":"Erdös L, Fournais S, Solovej J. Scott correction for large atoms and molecules in a self-generated magnetic field. <i>Communications in Mathematical Physics</i>. 2012;312(3):847-882. doi:<a href=\"https://doi.org/10.1007/s00220-012-1468-1\">10.1007/s00220-012-1468-1</a>","short":"L. Erdös, S. Fournais, J. Solovej, Communications in Mathematical Physics 312 (2012) 847–882.","mla":"Erdös, László, et al. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.” <i>Communications in Mathematical Physics</i>, vol. 312, no. 3, Springer, 2012, pp. 847–82, doi:<a href=\"https://doi.org/10.1007/s00220-012-1468-1\">10.1007/s00220-012-1468-1</a>.","apa":"Erdös, L., Fournais, S., &#38; Solovej, J. (2012). Scott correction for large atoms and molecules in a self-generated magnetic field. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-012-1468-1\">https://doi.org/10.1007/s00220-012-1468-1</a>"},"month":"06","quality_controlled":0,"author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös","orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László"},{"last_name":"Fournais","first_name":"Søren","full_name":"Fournais, Søren"},{"full_name":"Solovej, Jan P","last_name":"Solovej","first_name":"Jan"}],"intvolume":"       312","year":"2012","extern":1,"title":"Scott correction for large atoms and molecules in a self-generated magnetic field","status":"public","day":"01","volume":312,"publication":"Communications in Mathematical Physics","publication_status":"published","publisher":"Springer"}]