Exponential mixing for equilibrium states of singular flows
Exponential mixing for equilibrium states of singular flows
Let a singular flow admit equilibrium states associated to Hölder continuous potentials. Equilibrium-state mixing conjecture. The techniques of Tsujii and Zhang can be adapted to singular flows to extend the results of this text to equilibrium states associated to Hölder continuous potentials. Exponential mixing is established in related nonsingular settings, while extending the techniques to singular flows and the stated equilibrium states remains open.
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Primary source
Vitor Araujo and Edvan Trindade, “Robust Exponential Mixing and Convergence to Equilibrium for Singular Hyperbolic Attracting Sets”, arXiv:2012.13183 (2021).
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