Crossing probabilities in topological rectangles for the critical planar FK-Ising model
Electronic Journal of Probability2016Vol. 21(none)
Citations Over TimeTop 1% of 2016 papers
Abstract
We consider the FK-Ising model in two dimensions at criticality. We obtain bounds on crossing probabilities of arbitrary topological rectangles, uniform with respect to the boundary conditions, generalizing results of [DHN11] and [CS12]. Our result relies on new discrete complex analysis techniques, introduced in [Che12]. We detail some applications, in particular the computation of so-called universal exponents, the proof of quasi-multiplicativity properties of arm probabilities, and bounds on crossing probabilities for the classical Ising model.
Related Papers
- → Self-organized criticality and absorbing states: Lessons from the Ising model(2006)20 cited
- → PLANAR ISING MODEL AT CRITICALITY: STATE-OF-THE-ART AND PERSPECTIVES(2019)8 cited
- → A Monte Carlo finite size scaling study of charged hard-sphere criticality(1997)90 cited
- → Criticality found in a model for orientational ordering of protein arrays(1997)6 cited
- → Self-organized Criticality and Absorbing States: Lessons from the Ising Model(2004)5 cited