9 citations · 9 across the 6 of their papers we have counts for
7 papers
Inverse maximal and average distance minimizer problems
Mikhail Basok, Danila Cherkashin, Yana Teplitskaya
Consider a compact and . A maximal distance minimizer problem is to find a connected compact set of the minimal length, such that \[ \max_{y \in…
Homology of the pronilpotent completion and cotorsion groups
Mikhail Basok, Sergei O. Ivanov, Roman Mikhailov
For a non-cyclic free group , the second homology of its pronilpotent completion is not a cotorsion group.
Discriminant and Hodge classes on the space of Hitchin's covers
Mikhail Basok
We continue the study of the rational Picard group of the moduli space of Hitchin's spectral covers started in P. Zograf's and D. Korotkin's work [11]. In the first part of the pap…
On uniqueness in Steiner problem
Mikhail Basok, Danila Cherkashin, Nikita Rastegaev +1
We prove that the set of -point configurations for which the solution of the planar Steiner problem is not unique has the Hausdorff dimension at most (as a subset of $\ma…
Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4)
Mikhail Basok, Dmitry Chelkak
Building upon recent results of Dubédat (see arXiv:1403.6076) on the convergence of topological correlators in the double-dimer model considered on Temperleyan approximations …
On the class of caustic on the moduli space of odd spin curves
Mikhail Basok
Let be a smooth projective curve of genus and let be an odd theta characteristic on it such that . Pick a point from the support of and cons…
Tau function and moduli of spin curves
Mikhail Basok
The goal of the paper is to give an analytic proof of the formula of G. Farkas for the divisor class of spinors with multiple zeros in the moduli space of odd spin curves. We make…