25 citations · 122 across the 19 of their papers we have counts for
4 papers · 1 filter
Electrical Networks, Lagrangian Grassmannians and Symplectic Groups
Boris Bychkov, Vassily Gorbounov, Anton Kazakov +1
We refine the result of T. Lam \cite{L} on embedding the space of electrical networks on a planar graph with boundary points into the totally non-negative Grassmannian $\…
Explicit closed algebraic formulas for Orlov-Scherbin -point functions
Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian +1
We derive a new explicit formula in terms of sums over graphs for the -point correlation functions of general formal weighted double Hurwitz numbers coming from the Kadomtsev-Pe…
Combinatorics of Bousquet-Mélou-Schaeffer numbers in the light of topological recursion
Boris Bychkov, Petr Dunin-Barkowski, Sergey Shadrin
In this paper we prove, in a purely combinatorial way, a structural quasi-polynomiality property for the Bousquet-Mélou-Schaeffer numbers. Conjecturally, this property should follo…
On the number of coverings of the sphere ramified over given points
Boris Bychkov
We present the generating function for the numbers of isomorphism classes of coverings of the two-dimensional sphere by the genus compact oriented surface not ramified outside…