3 papers
math-ph2021
Multi-point passage probabilities and Green's functions for SLE
Oleg Alekseev
We consider a loop representation of the model at the critical point. When the model represents ensembles of self-avoiding loops (i.e., it corresponds to SLE with $κ=8…
math-ph2019
Martingales of stochastic Laplacian growth
Oleg Alekseev
A family of exponential martingales of a stochastic Laplacian growth problem is proposed. Stochastic Laplacian growth describes a regularized interface dynamics in a two-fluid syst…
hep-th2012
Form factors of descendant operators in the Bullough-Dodd model
Oleg Alekseev
We propose a free field representation for the form factors of descendant operators in the Bullough-Dodd model. This construction is a particular modification of Lukyanov's techniq…