Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Ergodic Transformations in the Space of p-Adic Integers - MaRDI portal

Ergodic Transformations in the Space of p-Adic Integers

From MaRDI portal
Publication:5504261

DOI10.1063/1.2193107zbMath1152.37301arXivmath/0602083OpenAlexW3099115241MaRDI QIDQ5504261

Vladimir S. Anashin

Publication date: 22 January 2009

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602083




Related Items (44)

A new class of \(p\)-adic Lipschitz functions and multidimensional Hensel's lemmaThe p-adic Theory of Automata FunctionsErgodic polynomials on subsets of \(p\)-adic integersStrict ergodicity of affine \(p\)-adic dynamical systems on \(\mathbb Z_p\)Ergodic Products and Powers on Compact Subsets of the $p$-adic FieldMahler coefficients of some 3-adic ergodic functionsCriteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions\(p\)-adic mathematical physics: the first 30 yearsSubcoordinate representation of $p$-adic functions and generalization of Hensel's lemmaErgodicity criteria for non-expanding transformations of 2-adic spheresCriteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basisDynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed pointsA note on the perturbed monomial mapping\(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed pointOn ergodic transformations on the sphere of 2-adic unitsOn Chaos of a Cubic p-adic Dynamical SystemOn minimal decomposition of \(p\)-adic polynomial dynamical systemsOn some compatible functions on the set of 3-adic integersOn minimal decomposition of \(p\)-adic homographic dynamical systemsEndomorphisms of regular rooted trees induced by the action of polynomials on the ring ℤd of d-adic integersT-functions revisited: new criteria for bijectivity/transitivityOrbit equivalence of \(p\)-adic transformations and their iteratesGeneralization of Hensel's lemma: finding the roots of \(p\)-adic Lipschitz functionsOn properties of the Klimov–Shamir generator of pseudorandom numbersOn the chaotic behavior of a generalized logistic \(p\)-adic dynamical systemMinimality of \(p\)-adic rational maps with good reductionDigraph representations of rational functions over the \(p\)-adic numbersVladimir Sergeevich AnashinMinimal subsystems of affine dynamics on local fieldsOn recent results of ergodic property for \(p\)-adic dynamical systemsOn \(p\)-adic mathematical physicsDynamics of the square mapping on the ring of 𝑝-adic integersOn the sub-coordinate representation of 𝑝-adic functionsMethods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysicsParity sequences of the 3x+1 map on the 2-adic integers and Euclidean embeddingDynamical structures of Chebyshev polynomials on \(\mathbb{Z}_2\)The uniform distribution of sequences generated by iterated polynomialsErgodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\)Ergodic functions over \(Z_p\)Noncommutative algebraic dynamics: ergodic theory for profinite groupsDynamics of convergent power series on the integral ring of a finite extension of \(\mathbb{Q}_p\)On perturbed monomials on 2-adic spheres around 1SOLENOIDAL MAPS, AUTOMATIC SEQUENCES, VAN DER PUT SERIES, AND MEALY AUTOMATACharacterization of ergodic rational functions on the set of 2-adic units




This page was built for publication: Ergodic Transformations in the Space of p-Adic Integers