3 problems

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Ergodicity of the periodic wind-tree gas
Consider the periodic wind-tree gas with rectangular scatterers, and assume that their shape parameter satisfies the conditions stated in the cited work. Ergodicity conjecture. The…
Conjectureopenbilliards ergodic-theory wind-tree-modelarXiv posted 2 days ago
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Ergodicity of the aperiodic Ehrenfest wind-tree gas
Consider an aperiodic Ehrenfest wind-tree gas whose scatterer configuration satisfies the conditions of the wind-tree flow cited in the source. Ergodicity conjecture. The aperiodic…
Conjectureopenbilliards ergodic-theory wind-tree-modelarXiv posted 2 days ago
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The diffusion-limit conjecture for periodic Ehrenfest Wind-Tree models
Diffusion-limit conjecture. The limit $\xi=(\xi_1,\xi_2)$ is a Gaussian random variable with zero mean, with
Conjectureopendiffusion dynamical-systems wind-tree-modelarXiv posted 2 days ago

Ergodicity of the periodic wind-tree gas