4 papers
On convergence rate bounds for a class of nonlinear Markov chains
Alexander Shchegolev, Alexander Veretennikov
A new approach is developed for evaluating the convergence rate for nonlinear Markov chains (MC) based on the recently developed spectral radius technique of markovian coupling for…
Irreducible representations of Leavitt algebras
Roozbeh Hazrat, Raimund Preusser, Alexander Shchegolev
For a weighted graph , we construct representation graphs , and consequently, -modules , where is the Leavitt path algebra associated to , with coeff…
Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group
Alexander Shchegolev
Every commutator preserving bijection of the unipotent radical of the Borel subgroup of the classical symplectic group of rank at least 4 over a field such that $6F…
Overgroups of elementary block-diagonal subgroups in the classical symplectic group over an arbitrary commutative ring
Alexander Shchegolev
In this paper we prove a sandwich classification theorem for subgroups of the classical symplectic group over an arbitrary commutative ring that contain the elementary block-di…