Exponential chi squared distributions in infinite ergodic theory

TL;DR

This paper establishes distributional limit theorems for random walk adic transformations, demonstrating that their ergodic distributional limits follow an exponential chi squared distribution, advancing understanding in infinite ergodic theory.

Contribution

It introduces new distributional limit theorems for random walk adic transformations, revealing exponential chi squared limits in infinite ergodic theory.

Findings

Distributional limits are exponential chi squared.

Ergodic properties of random walk adic transformations are characterized.

New limit theorems extend classical results in ergodic theory.

Abstract

We prove distributional limit theorems for random walk adic transformations obtaining ergodic distributional limits of exponential chi squared form.