11 citations · 46 across the 19 of their papers we have counts for
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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…
Free field theory and observables of periodic Macdonald processes
Shinji Koshida
We propose periodic Macdonald processes as a -deformation of periodic Schur processes and a periodic analogue of Macdonald processes. It is known that, in the theory of stoc…
Gaussian free fields coupled with multiple SLEs driven by stochastic log-gases
Makoto Katori, Shinji Koshida
Miller and Sheffield introduced the notion of an imaginary surface as an equivalence class of pairs of simply connected proper subdomains of and Gaussian free fields (…