2 citations · 2 across the 4 of their papers we have counts for
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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…
Coupling of stationary fields with application to arithmetic waves
Dmitry Beliaev, Riccardo W. Maffucci
In this paper we obtain a range of quantitative results of the following type: given two centered Gaussian fields with close covariance kernels we construct a coupling such that th…
Mean conservation of nodal volume and connectivity measures for Gaussian ensembles
Dmitry Beliaev, Stephen Muirhead, Igor Wigman
We study in depth the nesting graph and volume distribution of the nodal domains of a Gaussian field, which have been shown in previous works to exhibit asymptotic laws. A striking…