6 papers
Numerical simulations of the spread from the mean of the SLE and Multiple SLE dynamics
Phillip Kim, Vlad Margarint
The Schramm-Loewner Evolution (SLE) describes a family of fractal curves that arise in the study of the scaling limits of many planar Statistical Physics models. These curves are m…
Neural Networks and Schramm-Loewner Evolutions
Neilesh Shrotri, Vlad Margarint
In this manuscript, we explore the application of neural networks to predict the natural parameter of Schramm-Loewner Evolution (SLE) theory. SLE is a family o…
On the cover time of Brownian motion on the Brownian continuum random tree
George Andriopoulos, David A. Croydon, Vlad Margarint +1
Upon almost-every realisation of the Brownian continuum random tree (CRT), it is possible to define a canonical diffusion process or `Brownian motion'. The main result of this arti…
Scaling Limits of Disorder Relevant Non-Binary Spin Systems
Liuyan Li, Vlad Margarint, Rongfeng Sun
In [7], Caravenna, Sun and Zygouras gave general criteria for the partition functions of binary valued spin systems with a relevant random field perturbation to have non-trivial co…
Splitting algorithm and normed convergence for drawing the random Loewner curves
Jiaming Chen, Vlad Margarint
Recent advances in Schramm-Loewner evolution have driven increasing interest in non-standard Loewner flows. In this work, we propose a novel splitting algorithm to simulate random…
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 …