From non-symmetric particle systems to non-linear PDEs on fractals

DOI10.1007/978-3-319-74929-7_34zbMath1405.60142arXiv1702.03376OpenAlexW3100129488MaRDI QIDQ1710454

Michael Hinz, Alexander Teplyaev, Joe P. Chen

Publication date: 22 January 2019

Full work available at URL: https://arxiv.org/abs/1702.03376

zbMATH Keywords

nonlinear heat equationhydrodynamic limitDirichlet formfractalasymmetric exclusion interacting random process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Monotone operators and generalizations (47H05) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Fractals (28A80) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Discrete potential theory (31C20) Continuous-time Markov processes on discrete state spaces (60J27) Forms (bilinear, sesquilinear, multilinear) (47A07) Semilinear parabolic equations (35K58) Random walks on graphs (05C81) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Density of states for the Anderson model on nested fractals ⋮ Approximation of partial differential equations on compact resistance spaces ⋮ On the viscous Burgers equation on metric graphs and fractals

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