Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Chelkak, Dmitry"'
This is the second paper in the series devoted to the study of the dimer model on t-embeddings of planar bipartite graphs. We introduce the notion of perfect t-embeddings and assume that the graphs of the associated origami maps converge to a Lorentz
Externí odkaz:
http://arxiv.org/abs/2109.06272
We prove universality of spin correlations in the scaling limit of the planar Ising model on isoradial graphs with uniformly bounded angles and Z-invariant weights. Specifically, we show that in the massive scaling limit, i.e., as the mesh size $\del
Externí odkaz:
http://arxiv.org/abs/2104.12858
We prove convergence of renormalized correlations of primary fields, i. e., spins, disorders, fermions and energy densities, in the scaling limit of the critical Ising model in arbitrary finitely connected domains, with fixed (plus or minus) or free
Externí odkaz:
http://arxiv.org/abs/2103.10263
Autor:
Chelkak, Dmitry
We discuss the notion of s-embeddings $\mathcal{S}=\mathcal{S}_\mathcal{X}$ of planar graphs carrying a nearest-neighbor Ising model. The construction of $\mathcal{S}_\mathcal{X}$ is based upon a choice of a global complex-valued solution $\mathcal{X
Externí odkaz:
http://arxiv.org/abs/2006.14559
Autor:
Chelkak, Dmitry, Ramassamy, Sanjay
We provide a new description of the scaling limit of dimer fluctuations in homogeneous Aztec diamonds via the intrinsic conformal structure of a space-like maximal surface in the three-dimensional Minkowski space $\mathbb{R}^{2,1}$. This surface natu
Externí odkaz:
http://arxiv.org/abs/2002.07540
We introduce the framework of discrete holomorphic functions on t-embeddings of weighted bipartite planar graphs; t-embeddings also appeared under the name Coulomb gauges in a recent paper arXiv:1810.05616. We argue that this framework is particularl
Externí odkaz:
http://arxiv.org/abs/2001.11871
We discuss the magnetization $M_m$ in the $m$-th column of the zig-zag layered 2D Ising model on a half-plane using Kadanoff-Ceva fermions and orthogonal polynomials techniques. Our main result gives an explicit representation of $M_m$ via $m\times m
Externí odkaz:
http://arxiv.org/abs/1904.09168
Autor:
Chelkak, Dmitry, Wan, Yijun
Following the strategy proposed by Makarov and Smirnov in arXiv:0909.5377, we provide technical details for the proof of convergence of massive loop-erased random walks to the chordal mSLE(2) process. As no follow-up of arXiv:0909.5377 appeared since
Externí odkaz:
http://arxiv.org/abs/1903.08045
Autor:
Basok, Mikhail, Chelkak, Dmitry
Building upon recent results of Dub\'edat (see arXiv:1403.6076) on the convergence of topological correlators in the double-dimer model considered on Temperleyan approximations $\Omega^\delta$ to a simply connected domain $\Omega\subset\mathbb C$ we
Externí odkaz:
http://arxiv.org/abs/1809.00690
Autor:
Chelkak, Dmitry
In this essay, we briefly discuss recent developments, started a decade ago in the seminal work of Smirnov and continued by a number of authors, centered around the conformal invariance of the critical planar Ising model on $\mathbb{Z}^2$ and, more g
Externí odkaz:
http://arxiv.org/abs/1712.04192