Dmitry Beliaev

activity

20072026

most citedHow anisotropy beats fractality in two-dimensional on-lattice DLA growth

10 citations · 17 across the 13 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.PR2020

Continuity of Zero-Hitting Times of Bessel Processes and Welding Homeomorphisms of SLE $_{κ}$

Dmitry Beliaev, Atul Shekhar, Vlad Margarint

We consider a family of Bessel Processes that depend on the starting point $x$ and dimension $δ$ , but are driven by the same Brownian motion. Our main result is that almost surely…

math.PR2020

Continuity in $κ$ in $S L E_{κ}$ theory using a constructive method and Rough Path Theory

Dmitry Beliaev, Terry J. Lyons, Vlad Margarint

Questions regarding the continuity in $κ$ of the $S L E_{κ}$ traces and maps appear very naturally in the study of SLE. In order to study the first question, we consider a natural coup…

math.PR2020★ 2 cited

A new approach to SLE phase transition

Dmitry Beliaev, Terry J. Lyons, Vlad Margarint

It is well know that $S L E_{κ}$ curves exhibit a phase transition at $κ = 4$ . For $κ \leq 4$ they are simple curves with probability one, for $κ > 4$ they are not. The standard proof is bas…

Continuity of Zero-Hitting Times of Bessel Processes and Welding Homeomorphisms of SLEκ​

Continuity in κ in SLEκ​ theory using a constructive method and Rough Path Theory

A new approach to SLE phase transition

Continuity of Zero-Hitting Times of Bessel Processes and Welding Homeomorphisms of SLE $_{κ}$

Continuity in $κ$ in $S L E_{κ}$ theory using a constructive method and Rough Path Theory