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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…