The voter model chordal interface in two dimensions
DOI10.1007/s10955-015-1198-9zbMath1328.82024arXiv1409.0136OpenAlexW3102046668MaRDI QIDQ2350383
Publication date: 29 June 2015
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.0136
Interacting particle systems in time-dependent statistical mechanics (82C22) Voting theory (91B12) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)
Cites Work
- Moderate and small deviations for the ranges of one-dimensional random walks
- The dimension of the SLE curves
- Critical exponents of planar gradient percolation
- Diffusive clustering in the two dimensional voter model
- Additive set-valued Markov processes and graphical methods
- Additive and cancellative interacting particle systems
- Scaling limits of loop-erased random walks and uniform spanning trees
- Conformal invariance of planar loop-erased random walks and uniform spanning trees.
- Harmonic explorer and its convergence to \(\text{SLE}_4\)
- Convergence of Ising interfaces to Schramm's SLE curves
- Critical percolation exploration path and \(\mathrm{SLE}_{6}\): a proof of convergence
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Asymmetry of near-critical percolation interfaces
- Random Walk: A Modern Introduction
- Towards conformal invariance of 2D lattice models
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