天元讲堂(3.31):Fair measure and fair entropy for non-Markov interval maps
报告人:华中科技大学 张一威副研究员
题目:Fair measure and fair entropy for non-Markov interval maps
时间:3月31号下午1:30-2:30
地点:维格堂319
摘要:The fair entropy is computed following backward trajectories in a way such that at each step every preimage can be chosen with equal probability. In this paper, we continue studying the fair measure and the fair entropy for non-invertible interval maps under the framework of thermodynamic formalism. We extend several results in [RM] to the non-Markov setting, and we prove that for each symmetric tent map the fair entropy is equal to the topological entropy if and only if the slope is equal to 2. Moreover, we also show that the fair measure is usually an equilibrium state, which has its own interest in stochastic mechanics.