Invariance principle for local time by quasi-compactness

2015/11/05 by Michael Bromberg, Bromberg, Michael
Computer Science · Mathematics · #Aperiodic graph #Banach space #Cellular Automata and Applications #Combinatorics #Compact space #Computer science #Discrete mathematics #Dynamical Systems (math.DS) #FOS: Mathematics #Invariance principle #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Measure (data warehouse) #Nonlinear Dynamics and Pattern Formation #Observable #Operator (biology) #Physics #Probability (math.PR) #Pure mathematics #Quantum mechanics #Space (punctuation) #Transfer (computing) #math.DS #math.PR

paper · pdf · doi:10.48550/arxiv.1511.01746

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2015/11/05 · arxiv created 2015/11/22 · arxiv updated 2015/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

The objective of this paper is to prove a functional weak invariance principle for a local time of a process of the form X_n=φ∘ Tⁿ where (X,B,T,m) is a measure preserving system with a transfer operator acting quasi-compactly on a large enough Banach space of functions and φ∈ L²(m) is an aperiodic observable.

Citations

• Scenery entropy as an invariant of RWRS processes
• Statistical Properties of Dynamical Systems with Some Hyperbolicity

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