Transformations which preserve Cauchy distributions and their ergodic properties

DOI10.3836/TJM/1374497518zbMath1351.37003OpenAlexW2004959360MaRDI QIDQ367020

Hiroshi Ishitani

Publication date: 25 September 2013

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1374497518

zbMATH Keywords

invariant measurecentral limit theoremCauchy distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (1)

A central limit theorem for the Birkhoff sum of the Riemann zeta-function over a Boolean type transformation

Cites Work

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• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Ergodic Transformations from an Interval Into Itself
• Which Functions Preserve Cauchy Laws?

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