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math.PRJan 1, 2020
8
citations (OpenAlex)
authors
  • Dmitry Ioffe
  • Sébastien Ott
  • Yvan Velenik
  • Vitali Wachtel
institutions
  • Roma Tre University
  • Technion – Israel Institute of Technology
  • University of Augsburg
  • University of Geneva
arXiv abstractPDF
paper

Invariance principle for a Potts interface along a wall

arXiv:2001.04737 · doi:10.1007/s10955-020-02546-8

Abstract

We consider nearest-neighbor two-dimensional Potts models, with boundary conditions leading to the presence of an interface along the bottom wall of the box. We show that, after a suitable diffusive scaling, the interface weakly converges to the standard Brownian excursion.

arXiv commentCorrection of minor typos

References in corpus (8)

  • Criticality for branching processes in random environment
  • Random walks in cones
  • Ornstein-Zernike Theory for the finite range Ising models above T_c
  • Fluctuation theory of connectivities for subcritical random cluster models
  • The phase transitions of the planar random-cluster and Potts models with q larger than 1 are sharp
  • Interaction versus entropic repulsion for low temperature Ising polymers
  • Potts models with a defect line
  • Asymptotics of even-even correlations in the Ising model

Cited by in corpus (4)

  • Critical prewetting in the 2d Ising model
  • On level line fluctuations of SOS surfaces above a wall
  • Entropic repulsion and scaling limit for a finite number of non-intersecting subcritical FK interfaces
  • Ornstein-Zernike behavior for Ising models with infinite-range interactions
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