2 citations · 4 across the 7 of their papers we have counts for
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On the analytic extension of Random Riemann Zeta Functions for some probabilistic models of the primes
Vlad Margarint, Stanislav Molchanov
The first step in the formulation and study of the Riemann Hypothesis is the analytic continuation of the Riemann Zeta Function (RZF) in the full Complex Plane with a pole at …
Quasi-Sure Stochastic Analysis through Aggregation and SLE Theory
Vlad Margarint
We study SLE theory with elements of Quasi-Sure Stochastic Analysis through Aggregation. Specifically, we show how the latter can be used to construct the SLE traces quasi-…
Continuity of Zero-Hitting Times of Bessel Processes and Welding Homeomorphisms of SLE
Dmitry Beliaev, Atul Shekhar, Vlad Margarint
We consider a family of Bessel Processes that depend on the starting point and dimension , but are driven by the same Brownian motion. Our main result is that almost surely…
Continuity in in theory using a constructive method and Rough Path Theory
Dmitry Beliaev, Terry J. Lyons, Vlad Margarint
Questions regarding the continuity in of the traces and maps appear very naturally in the study of SLE. In order to study the first question, we consider a natural coup…
A new approach to SLE phase transition
Dmitry Beliaev, Terry J. Lyons, Vlad Margarint
It is well know that curves exhibit a phase transition at . For they are simple curves with probability one, for they are not. The standard proof is bas…
Complex Solutions to Bessel SDEs and SLEs
Atul Shekhar, Vlad Margarint
We consider a variant of Bessel SDE by allowing the solution to be complex valued. Such SDEs appear naturally while studying the trace of Schramm-Loewner-Evolutions (SLE). We estab…