Boundary correlations in planar LERW and UST
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Publication:2187287
DOI10.1007/s00220-019-03615-0zbMath1441.82023arXiv1702.03261OpenAlexW3103521695MaRDI QIDQ2187287
Eveliina Peltola, Kalle Kytölä, Alex Karrila
Publication date: 2 June 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.03261
Trees (05C05) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
Related Items (14)
On multiple SLE for the FK-Ising model ⋮ Crossing probabilities of multiple Ising interfaces ⋮ Existence of multi-point boundary Green's function for chordal Schramm-Loewner evolution (SLE) ⋮ UST branches, martingales, and multiple SLE(2) ⋮ Loop-erased random walk branch of uniform spanning tree in topological polygons ⋮ Global and local multiple SLEs for \(\kappa\leq4\) and connection probabilities for level lines of GFF ⋮ On the uniqueness of global multiple SLEs ⋮ Two-curve Green's function for 2-SLE: the interior case ⋮ Loop-erased walks and random matrices ⋮ Toward a conformal field theory for Schramm-Loewner evolutions ⋮ On the convergence of massive loop-erased random walks to massive SLE(2) curves ⋮ Scaling limits of crossing probabilities in metric graph GFF ⋮ Conformal blocks, \(q\)-combinatorics, and quantum group symmetry ⋮ Watermelons on the half-plane
Cites Work
- Unnamed Item
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- SLE boundary visits
- Scaling limit of the loop-erased random walk Green's function
- Proofs of two conjectures of Kenyon and Wilson on Dyck tilings
- Universality in the 2D Ising model and conformal invariance of fermionic observables
- The probability that planar loop-erased random walk uses a given edge
- Double-dimer pairings and skew Young diagrams
- Discrete complex analysis on isoradial graphs
- Schramm's proof of Watts' formula
- Conformal field theory
- Loop-erased random walk and Poisson kernel on planar graphs
- Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\)
- Pure partition functions of multiple SLEs
- Coincidence probabilities
- Multiple Schramm-Loewner evolutions and statistical mechanics martingales
- Boundary proximity of SLE
- Euler integrals for commuting SLEs
- Excursion decompositions for SLE and Watts' crossing formula
- Braid matrices and structure constants for minimal conformal models
- A guide to stochastic Löwner evolution and its applications
- Binomial determinants, paths, and hook length formulae
- Infinite conformal symmetry in two-dimensional quantum field theory
- Choosing a spanning tree for the integer lattice uniformly
- Scaling limits of loop-erased random walks and uniform spanning trees
- Degenerate conformal field theories and explicit expressions for some null vectors
- Global and local multiple SLEs for \(\kappa\leq4\) and connection probabilities for level lines of GFF
- Conformal invariance of planar loop-erased random walks and uniform spanning trees.
- Path representation of maximal parabolic Kazhdan-Lusztig polynomials.
- SLE and Virasoro representations: localization
- SLE and Virasoro representations: fusion
- Basis for solutions of the Benoit \& Saint-Aubin PDEs with particular asymptotics properties
- On the uniqueness of global multiple SLEs
- Conformally covariant boundary correlation functions with a quantum group
- Hypergeometric SLE: conformal Markov characterization and applications
- Conformal blocks, \(q\)-combinatorics, and quantum group symmetry
- Schramm's formula and the Green's function for multiple SLE
- Dyck tilings, increasing trees, descents, and inversions
- Basic properties of SLE
- The scaling limits of planar LERW in finitely connected domains
- A solution space for a system of null-state partial differential equations. I
- A solution space for a system of null-state partial differential equations. II
- A solution space for a system of null-state partial differential equations. III
- Loop-erased walks and total positivity
- Representation Theory of the Virasoro Algebra
- Boundary partitions in trees and dimers
- Schramm’s formula for multiple loop-erased random walks
- Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs
- Pfaffian Formulas for Spanning Tree Probabilities
- Commutation relations for Schramm‐Loewner evolutions
- On the Vector Representations of Induced Matroids
- The asymptotic determinant of the discrete Laplacian
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