Invariance principle for the random wind-tree process

DOI10.1007/s00023-021-01106-4zbMath1473.60064arXiv1912.02492OpenAlexW3197907846MaRDI QIDQ2231913

Yanyan Li

Publication date: 30 September 2021

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.02492

zbMATH Keywords

Brownian motioninvariance principlerandom Lorentz gasrandom wind-tree model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Processes in random environments (60K37) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Selected Problems in Probability Theory

Cites Work

• Unnamed Item
• Unnamed Item
• Non-ergodic \(\mathbb{Z}\)-periodic billiards and infinite translation surfaces
• On the Boltzmann equation for the Lorentz gas
• The Lorentz process converges to a random flight process
• Divergent trajectories in the periodic wind-tree model
• Invariance principle for the random Lorentz gas -- beyond the Boltzmann-Grad limit
• Recurrence for the wind-tree model
• Infinite ergodic index of the Ehrenfest wind-tree model
• Kinetic transport in the two-dimensional periodic Lorentz gas
• Diffusion for the periodic wind-tree model
• The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion
• The low-density limit of the Lorentz gas: periodic, aperiodic and random

This page was built for publication: Invariance principle for the random wind-tree process