A note on the large deviations for piecewise expanding multidimensional maps

2011/10/25 by R. Aimino, S. Vaienti, Aimino, R. +1 · 1 citation
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #math.DS #nlin.CD

paper · pdf · doi:10.48550/arxiv.1110.5488

arxiv created 2011/10/25 · arxiv updated 2011/10/26

Abstract

We provide the large deviation principle for higher dimensional piecewise expanding maps and by using the functional approach of Hennion and Hervé, slightly modified.

Cited by

• Limit theorems for toral partially hyperbolic endomorphisms

Related

• Large deviation principle in one-dimensional dynamics
• The large and moderate deviations approach in geometric functional analysis
• Weak expansion properties and a large deviation principle for coarse expanding conformal systems
• Large Deviation Principle for Enhanced Gaussian Processes
• Existence of Large deviations rate function for any S-unimodal map