Showing math.PRShow all
3 papers · 1 filter
math.PR2026
Regularization of Hyperbolic Stochastic Partial Differential Equations By Two Fractional Brownian Sheets
Rachid Belfadli, Youssef Ouknine, Ercan Sönmez
In this paper, we establish existence and uniqueness of strong solutions for a stochastic differential equation driven by an additive noise given by the sum of two correlated fract…
math.PR2024
Intersection probabilities for flats in hyperbolic space
Ercan Sönmez, Panagiotis Spanos, Christoph Thäle
Consider the -dimensional hyperbolic space of constant curvature and fix a point playing the role of an origin. Let be a uniform random $…
math.PR2023
On the distances within cliques in a soft random geometric graph
Ercan Sönmez, Clara Stegehuis
We study the distances of edges within cliques in a soft random geometric graph on a torus, where the vertices are points of a homogeneous Poisson point process, and far-away point…