{"author":[{"full_name":"Brooks, Morris","first_name":"Morris","orcid":"0000-0002-6249-0928","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"first_name":"Giacomo","last_name":"Di Gesù","full_name":"Di Gesù, Giacomo"}],"external_id":{"isi":["000644702800005"],"arxiv":["1911.03187"]},"date_updated":"2023-08-08T13:15:11Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9348","year":"2021","doi":"10.1016/j.jfa.2021.109029","quality_controlled":"1","isi":1,"publication_status":"published","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1911.03187"}],"scopus_import":"1","volume":281,"citation":{"chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">https://doi.org/10.1016/j.jfa.2021.109029</a>.","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. <i>Journal of Functional Analysis</i>. 2021;281(3). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">10.1016/j.jfa.2021.109029</a>","apa":"Brooks, M., &#38; Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">https://doi.org/10.1016/j.jfa.2021.109029</a>","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” <i>Journal of Functional Analysis</i>, vol. 281, no. 3. Elsevier, 2021.","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029.","mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” <i>Journal of Functional Analysis</i>, vol. 281, no. 3, 109029, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">10.1016/j.jfa.2021.109029</a>."},"publication":"Journal of Functional Analysis","month":"04","status":"public","acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"language":[{"iso":"eng"}],"date_created":"2021-04-25T22:01:29Z","title":"Sharp tunneling estimates for a double-well model in infinite dimension","article_processing_charge":"No","issue":"3","day":"07","intvolume":"       281","type":"journal_article","article_number":"109029","publisher":"Elsevier","article_type":"original","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension."}],"oa":1,"date_published":"2021-04-07T00:00:00Z","oa_version":"Preprint"}