Equidistribution for Nonuniformly Expanding Dynamical Systems, and Application to the Almost Sure Invariance Principle
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-3062-z
Abstract: Let $${T : M \to M}$$T:M→M be a nonuniformly expanding dynamical system, such as logistic or intermittent map. Let $${v : M \to \mathbb{R}^d}$$v:M→Rd be an observable and $${v_n = \sum_{k=0}^{n-1} v \circ T^k}$$vn=∑k=0n-1v∘Tk denote… read more here.
Keywords: invariance principle; sure invariance; almost sure; expanding dynamical ... See more keywords