7 citations · 19 across the 24 of their papers we have counts for
5 papers · 1 filter
Local Central Limit Theorem for Long-Range Two-Body Potentials at Sufficiently High Temperatures
Eric O. Endo, Vlad Margarint
Dobrushin and Tirozzi [14] showed that, for a Gibbs measure with the finite-range potential, the Local Central Limit Theorem is implied by the Integral Central Limit Theorem. Campa…
Perturbations of Multiple Schramm-Loewner Evolution with Two Non-colliding Dyson Brownian Motions
Jiaming Chen, Vlad Margarint
In this article, we study multiple , for , driven by Dyson Brownian motion. This model was introduced in the unit disk by Cardy in connection with the Calogero-Su…
Law of the SLE tip
Oleg Butkovsky, Vlad Margarint, Yizheng Yuan
We analyze the law of the SLE tip at a fixed time in capacity parametrization. We describe it as the stationary law of a suitable diffusion process, and show that it has a density…
Splitting algorithm and normed convergence for drawing the random fractal Loewner curves
Jiaming Chen, Vlad Margarint
In the first part of the paper we propose and study the approximation of the trace via the Ninomiya-Victoir splitting algorithm. We prove the uniform convergence in probabi…
On Loewner chains driven by semimartingales and complex Bessel-type SDEs
Vlad Margarint, Atul Shekhar, Yizheng Yuan
We prove existence (and simpleness) of the trace for both forward and backward Loewner chains under fairly general conditions on semimartingale drivers. As an application, we show…