Boris Bychkov

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Any Topological Recursion on a Rational Spectral Curve is KP Integrable2026
• Blobbed topological recursion and KP integrability2026
• Современная теория электрических сетей: от матричной теоремы о деревьях до теории кластерных многообразий2026
• Modern theory of electrical networks: from the matrix-tree theorem to the theory of cluster varieties2026
• KP integrability through the $$x-y$$ swap relation2025
• Topological recursion for Kadomtsev–Petviashvili tau functions of hypergeometric type2024 · аннотациясвернуть

  Abstract We study the ‐point differentials corresponding to Kadomtsev–Petviashvili (KP) tau functions of hypergeometric type (also known as Orlov–Scherbin partition functions), with an emphasis on their ‐deformations…

• Electrical Networks, Lagrangian Grassmannians, and Symplectic Groups2023 · аннотациясвернуть

  We refine the result of T. Lam L on embedding the space E_n of electrical networks on a planar graph with n boundary points into the totally non-negative Grassmannian Gr_≥0(n-1,2n) by proving…

• Explicit closed algebraic formulas for Orlov–Scherbin n -point functions2022 · аннотациясвернуть

  We derive a new explicit formula in terms of sums over graphs for the n -point correlation functions of general formal weighted double Hurwitz numbers coming from the Kadomtsev–Petviashvili tau functions of…