Logarithm laws and shrinking target properties
Jayadev S. Athreya
TL;DR
This paper surveys recent advances in logarithm laws and shrinking target properties within dynamical systems, highlighting their connections to geometry, diophantine approximation, and probability theory.
Contribution
It provides a comprehensive overview of recent developments and interconnections in the study of logarithm laws and shrinking target properties.
Findings
Summarizes recent progress in the field
Highlights connections to geometry and number theory
Discusses implications for probability theory
Abstract
We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geometry, diophantine approximation, and probability theory.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems