[{"year":"2023","external_id":{"arxiv":["1612.08215"],"isi":["001047690500001"]},"arxiv":1,"das_tickbox":"0","intvolume":"       324","month":"07","ddc":["510"],"publication_status":"published","acknowledgement":"The authors thank the referee for important comments which led to significant improvements is the presentation of several results in the paper. They also thank Ami Paz for preparing the figures for this paper. Horesh thanks Ami Paz and Yakov Karasik for helpful discussions. Nevo thanks John Parker and Rene Rühr for providing some very useful references. Nevo is supported by ISF Grant No. 2095/15.","scopus_import":"1","oa":1,"article_type":"original","license":"https://creativecommons.org/licenses/by/4.0/","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"has_accepted_license":"1","citation":{"ieee":"T. Horesh and A. Nevo, “Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution,” <i>Pacific Journal of Mathematics</i>, vol. 324, no. 2. Mathematical Sciences Publishers, pp. 265–294, 2023.","chicago":"Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in Hyperbolic Spaces: Effective Counting and Equidistribution.” <i>Pacific Journal of Mathematics</i>. Mathematical Sciences Publishers, 2023. <a href=\"https://doi.org/10.2140/pjm.2023.324.265\">https://doi.org/10.2140/pjm.2023.324.265</a>.","mla":"Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in Hyperbolic Spaces: Effective Counting and Equidistribution.” <i>Pacific Journal of Mathematics</i>, vol. 324, no. 2, Mathematical Sciences Publishers, 2023, pp. 265–94, doi:<a href=\"https://doi.org/10.2140/pjm.2023.324.265\">10.2140/pjm.2023.324.265</a>.","short":"T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294.","ista":"Horesh T, Nevo A. 2023. Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. Pacific Journal of Mathematics. 324(2), 265–294.","ama":"Horesh T, Nevo A. Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. <i>Pacific Journal of Mathematics</i>. 2023;324(2):265-294. doi:<a href=\"https://doi.org/10.2140/pjm.2023.324.265\">10.2140/pjm.2023.324.265</a>","apa":"Horesh, T., &#38; Nevo, A. (2023). Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. <i>Pacific Journal of Mathematics</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/pjm.2023.324.265\">https://doi.org/10.2140/pjm.2023.324.265</a>"},"researchdata_availability":"no","date_created":"2023-08-27T22:01:18Z","department":[{"_id":"TiBr"}],"quality_controlled":"1","title":"Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution","_id":"14245","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_identifier":{"issn":["0030-8730"],"eissn":["1945-5844"]},"file_date_updated":"2023-09-05T07:26:17Z","date_published":"2023-07-26T00:00:00Z","language":[{"iso":"eng"}],"doi":"10.2140/pjm.2023.324.265","article_processing_charge":"Yes","page":"265-294","volume":324,"oa_version":"Published Version","status":"public","corr_author":"1","abstract":[{"lang":"eng","text":"We establish effective counting results for lattice points in families of domains in real, complex and quaternionic hyperbolic spaces of any dimension. The domains we focus on are defined as product sets with respect to an Iwasawa decomposition. Several natural diophantine problems can be reduced to counting lattice points in such domains. These include equidistribution of the ratio of the length of the shortest solution (x,y) to the gcd equation bx−ay=1 relative to the length of (a,b), where (a,b) ranges over primitive vectors in a disc whose radius increases, the natural analog of this problem in imaginary quadratic number fields, as well as equidistribution of integral solutions to the diophantine equation defined by an integral Lorentz form in three or more variables. We establish an effective rate of convergence for these equidistribution problems, depending on the size of the spectral gap associated with a suitable lattice subgroup in the isometry group of the relevant hyperbolic space. The main result underlying our discussion amounts to establishing effective joint equidistribution for the horospherical component and the radial component in the Iwasawa decomposition of lattice elements."}],"supplementarymaterial":"no","publication":"Pacific Journal of Mathematics","file":[{"relation":"main_file","checksum":"a675b53cfb31fa46be1e879b7e77fe8c","date_created":"2023-09-05T07:26:17Z","success":1,"content_type":"application/pdf","file_id":"14267","date_updated":"2023-09-05T07:26:17Z","file_name":"2023_PacificJourMaths_Horesh.pdf","access_level":"open_access","creator":"dernst","file_size":654895}],"issue":"2","publisher":"Mathematical Sciences Publishers","author":[{"last_name":"Horesh","full_name":"Horesh, Tal","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","first_name":"Tal"},{"first_name":"Amos","full_name":"Nevo, Amos","last_name":"Nevo"}],"type":"journal_article","date_updated":"2026-07-29T10:13:41Z","isi":1,"day":"26"},{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"has_accepted_license":"1","citation":{"ista":"Horesh T, Karasik Y. 2023. Equidistribution of primitive lattices in ℝn. Quarterly Journal of Mathematics. 74(4), 1253–1294.","short":"T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.","apa":"Horesh, T., &#38; Karasik, Y. (2023). Equidistribution of primitive lattices in ℝn. <i>Quarterly Journal of Mathematics</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/qmath/haad008\">https://doi.org/10.1093/qmath/haad008</a>","ama":"Horesh T, Karasik Y. Equidistribution of primitive lattices in ℝn. <i>Quarterly Journal of Mathematics</i>. 2023;74(4):1253-1294. doi:<a href=\"https://doi.org/10.1093/qmath/haad008\">10.1093/qmath/haad008</a>","chicago":"Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in ℝn.” <i>Quarterly Journal of Mathematics</i>. Oxford University Press, 2023. <a href=\"https://doi.org/10.1093/qmath/haad008\">https://doi.org/10.1093/qmath/haad008</a>.","ieee":"T. Horesh and Y. Karasik, “Equidistribution of primitive lattices in ℝn,” <i>Quarterly Journal of Mathematics</i>, vol. 74, no. 4. Oxford University Press, pp. 1253–1294, 2023.","mla":"Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in ℝn.” <i>Quarterly Journal of Mathematics</i>, vol. 74, no. 4, Oxford University Press, 2023, pp. 1253–94, doi:<a href=\"https://doi.org/10.1093/qmath/haad008\">10.1093/qmath/haad008</a>."},"researchdata_availability":"no","date_created":"2023-12-31T23:01:03Z","department":[{"_id":"TiBr"}],"quality_controlled":"1","title":"Equidistribution of primitive lattices in ℝn","_id":"14717","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_identifier":{"eissn":["1464-3847"],"issn":["0033-5606"]},"year":"2023","arxiv":1,"external_id":{"arxiv":["2012.04508"],"isi":["001005945400001"]},"das_tickbox":"0","intvolume":"        74","month":"12","publication_status":"published","acknowledgement":"This work was done when both authors were visiting Institute of Science and Technology (IST) Austria. T.H. was being supported by Engineering and Physical Sciences Research Council grant EP/P026710/1. Y.K. had a great time there and is grateful for the hospitality. The appendix to this paper is largely based on a mini course T.H. had given at IST in February 2020.","ddc":["510"],"article_type":"original","scopus_import":"1","oa":1,"author":[{"full_name":"Horesh, Tal","last_name":"Horesh","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","first_name":"Tal"},{"last_name":"Karasik","full_name":"Karasik, Yakov","first_name":"Yakov"}],"publisher":"Oxford University Press","type":"journal_article","date_updated":"2026-07-29T10:22:09Z","isi":1,"project":[{"grant_number":"EP-P026710-2","name":"Between rational and integral points","_id":"26A8D266-B435-11E9-9278-68D0E5697425"}],"day":"01","file_date_updated":"2024-01-02T07:37:09Z","language":[{"iso":"eng"}],"date_published":"2023-12-01T00:00:00Z","article_processing_charge":"Yes (via OA deal)","doi":"10.1093/qmath/haad008","page":"1253-1294","volume":74,"oa_version":"Published Version","status":"public","abstract":[{"lang":"eng","text":"We count primitive lattices of rank d inside Zn as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include, for example, the subspace that a lattice spans, namely its projection to the Grassmannian; its homothety class and its equivalence class modulo rescaling and rotation, often referred to as a shape. We add to a prior work of Schmidt by allowing sets in the spaces of parameters that are general enough to conclude the joint equidistribution of these parameters. In addition to the primitive d-lattices Λ themselves, we also consider their orthogonal complements in Zn⁠, A1⁠, and show that the equidistribution occurs jointly for Λ and A1⁠. Finally, our asymptotic formulas for the number of primitive lattices include an explicit bound on the error term."}],"corr_author":"1","publication":"Quarterly Journal of Mathematics","file":[{"content_type":"application/pdf","file_size":724748,"creator":"dernst","file_name":"2023_QuarterlyJourMath_Horesh.pdf","file_id":"14720","date_updated":"2024-01-02T07:37:09Z","access_level":"open_access","relation":"main_file","date_created":"2024-01-02T07:37:09Z","checksum":"bf29baa9eae8500f3374dbcb80712687","success":1}],"supplementarymaterial":"no","issue":"4"},{"year":"2023","arxiv":1,"external_id":{"arxiv":["2103.10889"]},"das_tickbox":"0","intvolume":"      2023","month":"06","article_type":"original","scopus_import":"1","oa":1,"license":"https://creativecommons.org/licenses/by-nd/4.0/","acknowledgement":"The second author is supported by EPRSC grant EP/P026710/1.","ddc":["510"],"publication_status":"published","has_accepted_license":"1","citation":{"mla":"Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.” <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>, vol. 2023, Presses Universitaires de Franche-Comté, 2023, pp. 85–107, doi:<a href=\"https://doi.org/10.5802/pmb.50\">10.5802/pmb.50</a>.","ieee":"A. Guilloux and T. Horesh, “p-adic directions of primitive vectors,” <i>Publications mathématiques de Besançon - Algèbre et Théorie des nombres</i>, vol. 2023. Presses Universitaires de Franche-Comté, pp. 85–107, 2023.","chicago":"Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.” <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>. Presses Universitaires de Franche-Comté, 2023. <a href=\"https://doi.org/10.5802/pmb.50\">https://doi.org/10.5802/pmb.50</a>.","ama":"Guilloux A, Horesh T. p-adic directions of primitive vectors. <i>Publications mathématiques de Besançon - Algèbre et Théorie des nombres</i>. 2023;2023:85-107. doi:<a href=\"https://doi.org/10.5802/pmb.50\">10.5802/pmb.50</a>","apa":"Guilloux, A., &#38; Horesh, T. (2023). p-adic directions of primitive vectors. <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>. Presses Universitaires de Franche-Comté. <a href=\"https://doi.org/10.5802/pmb.50\">https://doi.org/10.5802/pmb.50</a>","short":"A. Guilloux, T. Horesh, Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres 2023 (2023) 85–107.","ista":"Guilloux A, Horesh T. 2023. p-adic directions of primitive vectors. Publications mathématiques de Besançon - Algèbre et Théorie des nombres. 2023, 85–107."},"tmp":{"image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)"},"quality_controlled":"1","department":[{"_id":"TiBr"}],"title":"p-adic directions of primitive vectors","researchdata_availability":"no","date_created":"2024-10-06T22:01:13Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"18179","publication_identifier":{"issn":["2804-8504"],"eissn":["2592-6616"]},"file_date_updated":"2024-10-07T11:32:32Z","language":[{"iso":"eng"}],"date_published":"2023-06-15T00:00:00Z","volume":2023,"article_processing_charge":"Yes (in subscription journal)","doi":"10.5802/pmb.50","page":"85-107","oa_version":"Published Version","file":[{"relation":"main_file","checksum":"cefc47a2cf55a87f8e4960197f73353b","date_created":"2024-10-07T11:32:32Z","success":1,"content_type":"application/pdf","date_updated":"2024-10-07T11:32:32Z","file_id":"18186","file_name":"2023_MathBesancon_Guilloux.pdf","access_level":"open_access","file_size":1399390,"creator":"dernst"}],"publication":"Publications mathématiques de Besançon - Algèbre et Théorie des nombres","supplementarymaterial":"no","status":"public","abstract":[{"lang":"eng","text":"Linnik type problems concern the distribution of projections of integral points on the unit sphere as their norm increases, and different generalizations of this phenomenon. Our work addresses a question of this type: we prove the uniform distribution of the projections of primitive Z2 points in the p-adic unit sphere, as their (real) norm tends to infinity. The proof is via counting lattice points in semi-simple S-arithmetic groups."},{"text":"Les problèmes de type Linnik concernent la distribution des projections des points entiers sur la sphère unitaire lorsque leur norme augmente et différentes généralisations de ce phénomène. Notre travail s’intéresse à une question de ce type : nous prouvons la distribution uniforme des projections des points primitifs de Z2 sur la sphère unitaire p-adique lorsque leur norme (réelle) tend vers l’infini. La preuve se fait en comptant les points d’un réseau dans des S-groupes arithmétiques semi-simples.","lang":"fre"}],"corr_author":"1","publisher":"Presses Universitaires de Franche-Comté","author":[{"full_name":"Guilloux, Antonin","last_name":"Guilloux","first_name":"Antonin"},{"last_name":"Horesh","full_name":"Horesh, Tal","first_name":"Tal","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425"}],"type":"journal_article","date_updated":"2026-07-29T10:40:38Z","day":"15","project":[{"name":"Between rational and integral points","grant_number":"EP-P026710-2","_id":"26A8D266-B435-11E9-9278-68D0E5697425"}]},{"date_updated":"2026-07-29T10:46:58Z","day":"27","isi":1,"author":[{"full_name":"Horesh, Tal","last_name":"Horesh","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","first_name":"Tal"},{"first_name":"Frédéric","full_name":"Paulin, Frédéric","last_name":"Paulin"}],"publisher":"Université de Bordeaux","type":"journal_article","oa_version":"Published Version","supplementarymaterial":"no","publication":"Journal de Theorie des Nombres de Bordeaux","file":[{"relation":"main_file","checksum":"08f28fded270251f568f610cf5166d69","date_created":"2023-02-27T09:10:13Z","success":1,"content_type":"application/pdf","file_size":870468,"creator":"dernst","file_name":"2023_JourTheorieNombreBordeaux_Horesh.pdf","date_updated":"2023-02-27T09:10:13Z","file_id":"12689","access_level":"open_access"}],"issue":"3","status":"public","corr_author":"1","abstract":[{"lang":"eng","text":"Given a place  ω  of a global function field  K  over a finite field, with associated affine function ring  Rω  and completion  Kω , the aim of this paper is to give an effective joint equidistribution result for renormalized primitive lattice points  (a,b)∈Rω2  in the plane  Kω2 , and for renormalized solutions to the gcd equation  ax+by=1 . The main tools are techniques of Goronik and Nevo for counting lattice points in well-rounded families of subsets. This gives a sharper analog in positive characteristic of a result of Nevo and the first author for the equidistribution of the primitive lattice points in  \\ZZ2 ."}],"file_date_updated":"2023-02-27T09:10:13Z","date_published":"2022-01-27T00:00:00Z","language":[{"iso":"eng"}],"volume":34,"doi":"10.5802/JTNB.1222","article_processing_charge":"No","page":"679-703","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"12684","publication_identifier":{"issn":["1246-7405"],"eissn":["2118-8572"]},"has_accepted_license":"1","citation":{"ista":"Horesh T, Paulin F. 2022. Effective equidistribution of lattice points in positive characteristic. Journal de Theorie des Nombres de Bordeaux. 34(3), 679–703.","short":"T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.","ama":"Horesh T, Paulin F. Effective equidistribution of lattice points in positive characteristic. <i>Journal de Theorie des Nombres de Bordeaux</i>. 2022;34(3):679-703. doi:<a href=\"https://doi.org/10.5802/JTNB.1222\">10.5802/JTNB.1222</a>","apa":"Horesh, T., &#38; Paulin, F. (2022). Effective equidistribution of lattice points in positive characteristic. <i>Journal de Theorie Des Nombres de Bordeaux</i>. Université de Bordeaux. <a href=\"https://doi.org/10.5802/JTNB.1222\">https://doi.org/10.5802/JTNB.1222</a>","chicago":"Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” <i>Journal de Theorie Des Nombres de Bordeaux</i>. Université de Bordeaux, 2022. <a href=\"https://doi.org/10.5802/JTNB.1222\">https://doi.org/10.5802/JTNB.1222</a>.","ieee":"T. Horesh and F. Paulin, “Effective equidistribution of lattice points in positive characteristic,” <i>Journal de Theorie des Nombres de Bordeaux</i>, vol. 34, no. 3. Université de Bordeaux, pp. 679–703, 2022.","mla":"Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” <i>Journal de Theorie Des Nombres de Bordeaux</i>, vol. 34, no. 3, Université de Bordeaux, 2022, pp. 679–703, doi:<a href=\"https://doi.org/10.5802/JTNB.1222\">10.5802/JTNB.1222</a>."},"tmp":{"image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)"},"department":[{"_id":"TiBr"}],"quality_controlled":"1","title":"Effective equidistribution of lattice points in positive characteristic","researchdata_availability":"no","date_created":"2023-02-26T23:01:02Z","month":"01","oa":1,"scopus_import":"1","article_type":"original","ddc":["510"],"publication_status":"published","acknowledgement":"The authors warmly thank Amos Nevo for having presented the authors to each other during\r\na beautiful conference in Goa in February 2016, where the idea of this paper was born. The\r\nfirst author thanks the IHES for two post-doctoral years when most of this paper was discussed,\r\nand the Topology team in Orsay for financial support at the final stage. The first author was\r\nsupported by the EPRSC EP/P026710/1 grant. Finally, we warmly thank the referee for many\r\nvery helpful comments that have improved the readability of this paper.","year":"2022","arxiv":1,"external_id":{"arxiv":["2001.01534"],"isi":["000926504300003"]},"das_tickbox":"0","intvolume":"        34"},{"author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177","last_name":"Browning","full_name":"Browning, Timothy D"},{"first_name":"Tal","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","last_name":"Horesh","full_name":"Horesh, Tal"},{"first_name":"Florian Alexander","id":"560601DA-8D36-11E9-A136-7AC1E5697425","orcid":"0000-0001-7302-8256","full_name":"Wilsch, Florian Alexander","last_name":"Wilsch"}],"publisher":"Mathematical Sciences Publishers","type":"journal_article","date_updated":"2026-08-06T11:07:27Z","day":"01","project":[{"_id":"26A8D266-B435-11E9-9278-68D0E5697425","name":"Between rational and integral points","grant_number":"EP-P026710-2"},{"_id":"26AEDAB2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P32428","name":"New frontiers of the Manin conjecture"}],"isi":1,"language":[{"iso":"eng"}],"date_published":"2022-12-01T00:00:00Z","volume":16,"doi":"10.2140/ant.2022.16.2385","article_processing_charge":"No","page":"2385-2407","oa_version":"Preprint","publication":"Algebra & Number Theory","supplementarymaterial":"no","issue":"10","status":"public","corr_author":"1","abstract":[{"lang":"eng","text":"We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians and their study is motivated by Peyre's programme on \"freeness\" for rational points of bounded height on Fano\r\nvarieties."}],"citation":{"mla":"Browning, Timothy D., et al. “Equidistribution and Freeness on Grassmannians.” <i>Algebra &#38; Number Theory</i>, vol. 16, no. 10, Mathematical Sciences Publishers, 2022, pp. 2385–407, doi:<a href=\"https://doi.org/10.2140/ant.2022.16.2385\">10.2140/ant.2022.16.2385</a>.","chicago":"Browning, Timothy D, Tal Horesh, and Florian Alexander Wilsch. “Equidistribution and Freeness on Grassmannians.” <i>Algebra &#38; Number Theory</i>. Mathematical Sciences Publishers, 2022. <a href=\"https://doi.org/10.2140/ant.2022.16.2385\">https://doi.org/10.2140/ant.2022.16.2385</a>.","ieee":"T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” <i>Algebra &#38; Number Theory</i>, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022.","apa":"Browning, T. D., Horesh, T., &#38; Wilsch, F. A. (2022). Equidistribution and freeness on Grassmannians. <i>Algebra &#38; Number Theory</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/ant.2022.16.2385\">https://doi.org/10.2140/ant.2022.16.2385</a>","ama":"Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians. <i>Algebra &#38; Number Theory</i>. 2022;16(10):2385-2407. doi:<a href=\"https://doi.org/10.2140/ant.2022.16.2385\">10.2140/ant.2022.16.2385</a>","ista":"Browning TD, Horesh T, Wilsch FA. 2022. Equidistribution and freeness on Grassmannians. Algebra &#38; Number Theory. 16(10), 2385–2407.","short":"T.D. Browning, T. Horesh, F.A. Wilsch, Algebra &#38; Number Theory 16 (2022) 2385–2407."},"department":[{"_id":"TiBr"}],"quality_controlled":"1","title":"Equidistribution and freeness on Grassmannians","researchdata_availability":"no","date_created":"2021-02-25T09:56:57Z","main_file_link":[{"url":"https://arxiv.org/abs/2102.11552","open_access":"1"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"9199","publication_identifier":{"eissn":["1944-7833"],"issn":["1937-0652"]},"year":"2022","arxiv":1,"external_id":{"arxiv":["2102.11552"],"isi":["000961514100004"]},"das_tickbox":"0","intvolume":"        16","month":"12","scopus_import":"1","oa":1,"article_type":"original","acknowledgement":"The authors are very grateful to Will Sawin for useful remarks about this topic. While working on this paper the first two authors were supported by EPSRC grant EP/P026710/1, and the first and last authors by FWF grant P 32428-N35.","publication_status":"published"}]