Deterministic diffusion

DOI10.1007/s11253-020-01747-4OpenAlexW3037182971MaRDI QIDQ2100692

I. L. Nizhnik, Leonid P. Nizhnik

Publication date: 24 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00674

Mathematics Subject Classification ID

Applications of dynamical systems (37Nxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Dynamical systems with hyperbolic behavior (37Dxx)

Cites Work

• Fractality of deterministic diffusion in the nonhyperbolic climbing sine map
• Irregular diffusion in the bouncing ball billiard
• Transport in polygonal billiards
• Isomorphisms of \(\beta\)-automorphisms to Markov automorphisms
• Stable stationary solutions for a reaction-diffusion equation with a multi-stable nonlinearity
• Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries
• Cauchy problem for fractional diffusion-wave equations with variable coefficients
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Period Three Implies Chaos
• \(\beta\)-shifts have unique maximal measure
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