output
20022023
most citedTwo approaches to the construction of perturbation bounds for continuous-time Markov chains

25 citations

28 papers

math.GR2023

Amenability problem for Thompson's group : state of the art

Victor Guba

This is a survey of our recent results on the amenability problem for Thompson's group . They mostly concern esimating the density of finite subgraphs in Cayley graphs of fo…

math.GR2021

On the Ore condition for the group ring of R.\,Thompson's group

Victor Guba

Let be a group ring of a group over a field . The Ore condition says that for any there exist such that , where or . It…

math.PR2020★ 2 cited

Ergodicity Bounds for the Markovian Queue With Time-Varying Transition Intensities, Batch Arrivals and One Queue Skipping Policy

A. Zeifman, R. Razumchik, Y. Satin +1

In this paper we revisit the Markovian queueing system with a single server, infinite capacity queue and the special queue skipping policy. Customers arrive in batches, but are ser…

math.PR2019★ 25 cited

Two approaches to the construction of perturbation bounds for continuous-time Markov chains

Alexander Zeifman, Victor Korolev, Yacov Satin

The paper is largely of a review nature. It considers two main methods used to study stability and obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Mar…

math.GR2019

On the density of Cayley graphs of R.Thompson's group in symmetric generators

Victor Guba

By the density of a finite graph we mean its average vertex degree. For an -generated group, the density of its Cayley graph in a given set of generators, is the supremum of den…

math.FA2019

Reduced spectral synthesis and compact operator synthesis

V. S. Shulman, I. G. Todorov, L. Turowska

We introduce and study the notion of reduced spectral synthesis, which unifies the concepts of spectral synthesis and uniqueness in locally compact groups. We exhibit a number of e…