Title: Generalized polynomial recurrence of weakly mixing minimal systems

Speaker:  Prof. Ruifeng Zhang  ( Hefei University of Technology )

Time: Sun, Dec.20 2020, AM: 09:50-10:40

Location: Tencent Conference

Meeting  Number: 774 546 739

Password: 654321

Inviter: Prof. Rui Kuang

Abstract:

      In this talk, we study the generalized polynomial recurrence of weakly mixing minimal system. Let (X, T) be a weakly mixing minimal system and p_1, …, p_d be integer-valued generalized polynomials which are not finite-valued and are not equivalent to each other. We will show that there is a residual subset X_0 of X such that for all x in X_0, {(T^{p_1(n)}x, …, T^{p_d(n)}x): n=…, -2, -1, 0, 1, 2, …} is dense in X^d. This is a joint work with Jianjie Zhao.