Orbit equivalence of $p$-adic transformations and their iterates

DOI10.1007/s00605-014-0645-zzbMath1302.37005OpenAlexW1989999535MaRDI QIDQ466836

Publication date: 31 October 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0645-z

zbMATH Keywords

$p$-adic dynamics orbit equivalence nonsingular transformations infinite-measure preserving transformations ratio set

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (3)

The p-adic Theory of Automata Functions ⋮ Shadowing and stability in $p$-adic dynamics ⋮ $p$-adic (3, 2)-rational dynamical systems

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Criteria of ergodicity for $p$-adic dynamical systems in terms of coordinate functions
Ergodicity criteria for non-expanding transformations of 2-adic spheres
Zero Krengel entropy does not kill Poisson entropy
Dynamics of the $p$-adic shift and applications
Families of type III$_{0}$ ergodic transformations in distinct orbit equivalent classes
Characterization of ergodicity of $p$-adic dynamical systems by using the van der Put basis
Universal skyscraper templates for infinite measure preserving transformations
Measurable dynamics of maps on profinite groups
Minimal dynamical systems on a discrete valuation domain
Noncommutative algebraic dynamics: ergodic theory for profinite groups
Suborbits and group extensions of flows
van der Put basis and $p$-adic dynamics
Digraph representations of rational functions over the $p$-adic numbers
Full groups of Cantor minimal systems
Uniformly distributed sequences of $p$-adic integers
Criteria of measure-preserving for $p$-adic dynamical systems in terms of the van der Put basis
On measure-preserving functions over $\mathbb Z_3$
Strict ergodicity of affine $p$-adic dynamical systems on $\mathbb Z_p$
Applied algebraic dynamics
On ergodicity of $p$-adic dynamical systems for arbitrary prime $p$
$p$-adic affine dynamical systems and applications
On Groups of Measure Preserving Transformations. I
Poisson suspensions and entropy for infinite transformations
On measure-preserving $\mathcal {C}^1$ transformations of compact-open subsets of non-archimedean local fields
Minimal polynomial dynamics on the set of 3-adic integers
The classification of non-singular actions, revisited
ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS
Incompressible transformations
Ergodic Transformations in the Space of p-Adic Integers
On invariant measures
Entropy of conservative transformations
On non-singular transformations of a measure space. I
On Groups of Measure Preserving Transformations. II
Measurable Dynamics of Simple p-adic Polynomials
Invariant measures

This page was built for publication: Orbit equivalence of $p$-adic transformations and their iterates

Orbit equivalence of \(p\)-adic transformations and their iterates