5 papers · 1 filter
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 …
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 probab…