天元讲堂(3.26):Random entropy expansiveness in partially hyperbolic diffeomorphisms
报告人:糜泽亚(南京信息工程大学)
报告时间:2018 年 3 月 26 日(周一)下午 2:30-4:30
报告地点:维格堂319
报告摘要:We study the local entropy of typical infinite dynamical balls in random dynamical
systems, and show the random entropy expansiveness for C^ 1 partially hyperbolic diffeomorphisms
with multi one-dimensional centers. Generally, consider C^ 1 diffeomorphism f
with dominated splitting TM = E⊕ E^1⊕ ···⊕E^k⊕F such that dimE^i= 1 for every
0< i < k-1, and all the Lyapunov exponents are non-negative along F and non-positive
along E , we prove the asymptotically random entropy expansiveness for f.
报告时间:2018 年 3 月 26 日(周一)下午 2:30-4:30
报告地点:维格堂319
报告摘要:We study the local entropy of typical infinite dynamical balls in random dynamical
systems, and show the random entropy expansiveness for C^ 1 partially hyperbolic diffeomorphisms
with multi one-dimensional centers. Generally, consider C^ 1 diffeomorphism f
with dominated splitting TM = E⊕ E^1⊕ ···⊕E^k⊕F such that dimE^i= 1 for every
0< i < k-1, and all the Lyapunov exponents are non-negative along F and non-positive
along E , we prove the asymptotically random entropy expansiveness for f.