Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice
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Publication:981704
DOI10.1007/s00220-009-0981-3zbMath1191.82024OpenAlexW1975376412MaRDI QIDQ981704
Takashi Kumagai, Benjamin M. Hambly
Publication date: 2 July 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-009-0981-3
Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (17)
Explicit formulas for heat kernels on diamond fractals ⋮ Stationary random metrics on hierarchical graphs via \((\min,+)\)-type recursive distributional equations ⋮ Gaps labeling theorem for the bubble-diamond self-similar graphs ⋮ Graph‐like spaces approximated by discrete graphs and applications ⋮ Perfect quantum state transfer on diamond fractal graphs ⋮ Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes ⋮ Weak-disorder limit for directed polymers on critical hierarchical graphs with vertex disorder ⋮ Spectral asymptotics for \(V\)-variable Sierpinski gaskets ⋮ Dirac and magnetic Schrödinger operators on fractals ⋮ Nested critical points for a directed polymer on a disordered diamond lattice ⋮ Degenerate limits for one-parameter families of non-fixed-point diffusions on fractals ⋮ Directed polymers on hierarchical lattices with site disorder ⋮ Spectral analysis on Barlow and Evans' projective limit fractals ⋮ Spectral analysis for weighted iterated q-triangulation networks ⋮ Approximation of partial differential equations on compact resistance spaces ⋮ High-temperature scaling limit for directed polymers on a hierarchical lattice with bond disorder ⋮ Spectra of perfect state transfer Hamiltonians on fractal-like graphs
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