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세미나
세미나
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Effective intrinsic ergodicity for surface diffeomorphisms

기간 : 2023-04-19 ~ 2023-04-19
시간 : 16:00 ~ 17:00
개최 장소 : Online streaming (Zoom)   
개요
Ergodic Theory and Dynamical Systems SeminarㅣEffective intrinsic ergodicity for surface diffeomorphisms
분야Field Ergodic Theory and Dynamical Systems Seminar
날짜Date 2023-04-19 ~ 2023-04-19 시간Time 16:00 ~ 17:00
장소Place Online streaming (Zoom)    초청자Host
연사Speaker Omri Sarig 소속Affiliation Weizmann Institute
TOPIC Effective intrinsic ergodicity for surface diffeomorphisms
소개 및 안내사항Content
Abstract: A topologically transitive C infinity surface diffeomorphism with positive topological entropy has exactly one measure of maximal entropy (Newhouse; Buzzi-Crovisier-S.).
I will explain an "effective" version of this result: Any measure with entropy bigger than the topological entropy minus epsilon, is within distance O(\sqrt{\epsilon}) from the measure of maximal entropy. The distance is measured by comparing the integrals of smooth test functions. The square root is optimal.
This is joint work with Jerome Buzzi, Sylvain Crovisier, and Rene Ruhr.
 
학회명Field Effective intrinsic ergodicity for surface diffeomorphisms
날짜Date 2023-04-19 ~ 2023-04-19 시간Time 16:00 ~ 17:00
장소Place Online streaming (Zoom)    초청자Host
소개 및 안내사항Content
Abstract: A topologically transitive C infinity surface diffeomorphism with positive topological entropy has exactly one measure of maximal entropy (Newhouse; Buzzi-Crovisier-S.).
I will explain an "effective" version of this result: Any measure with entropy bigger than the topological entropy minus epsilon, is within distance O(\sqrt{\epsilon}) from the measure of maximal entropy. The distance is measured by comparing the integrals of smooth test functions. The square root is optimal.
This is joint work with Jerome Buzzi, Sylvain Crovisier, and Rene Ruhr.
 
성명Field Effective intrinsic ergodicity for surface diffeomorphisms
날짜Date 2023-04-19 ~ 2023-04-19 시간Time 16:00 ~ 17:00
소속Affiliation Weizmann Institute 초청자Host
소개 및 안내사항Content
Abstract: A topologically transitive C infinity surface diffeomorphism with positive topological entropy has exactly one measure of maximal entropy (Newhouse; Buzzi-Crovisier-S.).
I will explain an "effective" version of this result: Any measure with entropy bigger than the topological entropy minus epsilon, is within distance O(\sqrt{\epsilon}) from the measure of maximal entropy. The distance is measured by comparing the integrals of smooth test functions. The square root is optimal.
This is joint work with Jerome Buzzi, Sylvain Crovisier, and Rene Ruhr.
 
성명Field Effective intrinsic ergodicity for surface diffeomorphisms
날짜Date 2023-04-19 ~ 2023-04-19 시간Time 16:00 ~ 17:00
호실Host 인원수Affiliation Omri Sarig
사용목적Affiliation 신청방식Host Weizmann Institute
소개 및 안내사항Content
Abstract: A topologically transitive C infinity surface diffeomorphism with positive topological entropy has exactly one measure of maximal entropy (Newhouse; Buzzi-Crovisier-S.).
I will explain an "effective" version of this result: Any measure with entropy bigger than the topological entropy minus epsilon, is within distance O(\sqrt{\epsilon}) from the measure of maximal entropy. The distance is measured by comparing the integrals of smooth test functions. The square root is optimal.
This is joint work with Jerome Buzzi, Sylvain Crovisier, and Rene Ruhr.
 
Admin Admin · 2023-03-31 15:04 · 조회 230
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