4 papers · 1 filter
Three phases of multiple SLE driven by non-colliding Dyson's Brownian motions
Makoto Katori, Shinji Koshida
The present paper is concerned with properties of multiple Schramm--Loewner evolutions (SLEs) labelled by a parameter . Specifically, we consider the solution of the mu…
Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures
Shinji Koshida
The analogy between determinantal point processes (DPPs) and free fermionic calculi is well-known. We point out that, from the perspective of free fermionic algebras, Pfaffian poin…
Multiple backward Schramm--Loewner evolution and coupling with Gaussian free field
Shinji Koshida
It is known that a backward Schramm--Loewner evolution (SLE) is coupled with a free boundary Gaussian free field (GFF) with boundary perturbation to give conformal welding of quant…
Conformal welding problem, flow line problem, and multiple Schramm--Loewner evolution
Makoto Katori, Shinji Koshida
A quantum surface (QS) is an equivalence class of pairs of simply connected domains and random distributions on induced by the conformal equ…