Diffusive limits on the Penrose tiling

DOI10.1007/s10955-010-0072-zzbMath1205.82084arXiv0910.4296OpenAlexW3098748026MaRDI QIDQ616212

Andras Telcs

Publication date: 7 January 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4296

zbMATH Keywords

invariance principlerandom walkPenrose tiling

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

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Diffusion on Delone sets, Recent progress on the random conductance model, Stability of infinite systems of coupled oscillators via random walks on weighted graphs

Cites Work

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• An invariance principle for reversible Markov processes. Applications to random motions in random environments
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• Antisymmetric functionals of reversible Markov processes
• Rectifying separated nets
• Remarks on quasicrystallic symmetries
• Quenched invariance principles for walks on clusters of percolation or among random conduc\-tances
• The art of random walks.
• Some challenges in the theory of (semi)-dispersing billiards
• The dynamical properties of Penrose tilings