Files in this item
A new proof of the dimension gap for the Gauss map
Item metadata
dc.contributor.author | Jurga, N. | |
dc.date.accessioned | 2022-06-14T23:36:03Z | |
dc.date.available | 2022-06-14T23:36:03Z | |
dc.date.issued | 2021-06-15 | |
dc.identifier | 274949441 | |
dc.identifier | 5d070d9b-157f-43f6-9b59-14fd1d43e9d5 | |
dc.identifier | 85108505084 | |
dc.identifier | 000731644000004 | |
dc.identifier.citation | Jurga , N 2021 , ' A new proof of the dimension gap for the Gauss map ' , Mathematical Proceedings of the Cambridge Philosophical Society , vol. FirstView . https://doi.org/10.1017/S0305004121000104 | en |
dc.identifier.issn | 0305-0041 | |
dc.identifier.other | RIS: urn:A99C03ADA6B4B49F0A07048C1681E1C5 | |
dc.identifier.uri | https://hdl.handle.net/10023/25528 | |
dc.description | Funding: This paper was written while the author was supported by a Leverhulme Trust Research Project Grant (RF-2016-194). | en |
dc.description.abstract | In [4], Kifer, Peres and Weiss showed that the Bernoulli measures for the Gauss map T(x)=1/x mod 1 satisfy a 'dimension gap' meaning that for some c > 0, supp dim μp < 1-c, where μp denotes the (pushforward) Bernoulli measure for the countable probability vector p. In this paper we propose a new proof of the dimension gap. By using tools from thermodynamic formalism we show that the problem reduces to obtaining uniform lower bounds on the asymptotic variance of a class of potentials. | |
dc.format.extent | 29 | |
dc.format.extent | 363027 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematical Proceedings of the Cambridge Philosophical Society | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | A new proof of the dimension gap for the Gauss map | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1017/S0305004121000104 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2022-06-15 | |
dc.identifier.url | http://arxiv.org/pdf/1806.00841 | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.