学术报告(3.30):Jerome Buzzi:A dichotomy for measures of maximal entropy for some Discretized Anosov Flows
报告时间:2026年3月30日(周一)上午 10:30-12:00
报告地点:苏州大学天赐庄校区精正楼1楼报告厅
报告人:Jerome Buzzi,法国巴黎萨克雷大学(CNRS)
报告摘要:
In this joint work in progress with Crovisier, Poletti, Tahzibi, we consider Discretized Anosov Flows (eg, perturbations of time-one maps of Anosov flows) and study their measures of maximal entropy (MMEs) under some irreducibility condition. We prove the following dichotomy: either (1) there are exactly two ergodic MMEs, one with positive and one with negative center exponent, or (2) there is a unique MME with zero center exponent. Moreover, the case (1) is generic and implies Bernoulli and exponential mixing for each ergodic MME.
邀请人:臧运涛