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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

FLUCTUATIONS OF ERGODIC SUMS ON PERIODIC ORBITS UNDER SPECIFICATION

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Author(s):
Denker, Manfred [1] ; Senti, Samuel [2] ; Zhang, Xuan [3]
Total Authors: 3
Affiliation:
[1] Penn State Univ, Dept Math, University Pk, PA 16802 - USA
[2] Univ Fed Rio de Janeiro, Inst Matemat, BR-21941909 Rio De Janeiro, RJ - Brazil
[3] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 40, n. 8, p. 4665-4687, AUG 2020.
Web of Science Citations: 0
Abstract

We study the fluctuations of ergodic sums using global and local specifications on periodic points. We obtain Lindeberg-type central limit theorems in both situations. As an application, when the system possesses a unique measure of maximal entropy, we show weak convergence of ergodic sums to a mixture of normal distributions. Our results suggest decomposing the variances of ergodic sums according to global and local sources. (AU)

FAPESP's process: 18/15088-4 - Limit theorems in dynamical systems
Grantee:Xuan Zhang
Support Opportunities: Scholarships in Brazil - Post-Doctoral