Spectral decomposition of expanding probabilistic dynamical systems

DOI10.1016/S0375-9601(97)00976-6zbMath0939.37003OpenAlexW1973833993MaRDI QIDQ1966602

Yanyan Li

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00976-6

zbMATH Keywords

Markov semigroupMarkov operatortent map2-Renyi mapprobabilistic dynamical systems

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Iteration theory, iterative and composite equations (39B12) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (3)

Spectral decomposition of contracting probabilistic dynamical systems ⋮ The asymptotic behavior of Frobenius-Perron operator with local lower-bound function ⋮ Probabilistic control of chaos through small perturbations

Cites Work

• An extension of the theory of Fredholm determinants
• Spectral decomposition of piecewise linear monotonic maps.
• Random iteration of one-dimensional transformations
• Ergodic properties of invariant measures for piecewise monotonic transformations
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Correlation spectrum of quenched and annealed equilibrium states for random expanding maps
• Smooth ergodic theory of random dynamical systems
• Spectral decomposition of contracting probabilistic dynamical systems
• Bounded variation and invariant measures
• Hamiltonian Systems and Transformation in Hilbert Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral decomposition of expanding probabilistic dynamical systems