18 citations · 80 across the 15 of their papers we have counts for
7 papers · 1 filter
Level lines of the Gaussian free field and degenerate conformal blocks
Alex Karrila, Eveliina Peltola, Lukas Schoug
We consider Gaussian free field (GFF) on simply connected domains with piecewise constant Dirichlet boundary data. We show that the crossing probabilities for its level lines are d…
Operator product expansions of derivative fields in the sine-Gordon model
Alex Karrila, Tuomas Virtanen, Christian Webb
In this article, we initiate the study of operator product expansions (OPEs) for the sine-Gordon model. For simplicity, we focus on the model below the first threshold of collapse…
Planar UST Branches and Degenerate Boundary Correlations
Alex Karrila, Augustin Lafay, Eveliina Peltola +1
We provide a conformal field theory (CFT) description of the probabilistic model of boundary effects in the wired uniform spanning tree (UST) and its algebraic content, concerning…
Multiple SLE type scaling limits: from local to global
Alex Karrila
We consider collections of chordal random curves obtained from a critical lattice model on a planar graph, in the limit when a fine-mesh graph approximates a simply-connected d…
Limits of conformal images and conformal images of limits for planar random curves
Alex M. Karrila
We address the scaling limits of random curves arising from, e.g., planar lattice models, especially in rough domains. The well-known precompactness conditions of Kemppainen and Sm…
Conformal blocks, -combinatorics, and quantum group symmetry
Alex Karrila, Kalle Kytölä, Eveliina Peltola
In this article, we find a -analogue for Fomin's formulas. The original Fomin's formulas relate determinants of random walk excursion kernels to loop-erased random walk partitio…
Boundary correlations in planar LERW and UST
Alex Karrila, Kalle Kytölä, Eveliina Peltola
We find explicit formulas for the probabilities of general boundary visit events for planar loop-erased random walks, as well as connectivity events for branches in the uniform spa…