4 papers
Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion
Vitalii Konarovskyi, Victor Marx, Max von Renesse
Introducing an interpolation method we derive lower bounds for the spectral gap for Brownian motion on general domains with sticky-reflecting boundary diffusion associated to the f…
Degree corrected stochastic block model: excursion representation
David Clancy, Vitalii Konarovskyi, Vlada Limic
This is the first of two complementary works in which we analyze the connected components of the degree-corrected stochastic block model (DCSBM). Our model is a random graph with a…
A Central Limit Theorem for Modified Massive Arratia Flow
Andrey Dorogovtsev, Vitalii Konarovskyi, Max von Renesse
The modified massive Arratia flow is a model for the dynamics of passive particle clusters moving in a random fluid that accounts for the effects of mass aggregation. We show a cen…
A quantitative central limit theorem for the simple symmetric exclusion process
Benjamin Gess, Vitalii Konarovskyi
A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a -dimensional discrete torus is proven. The argument is based on a comparison of the g…