14 citations · 28 across the 14 of their papers we have counts for
4 papers · 2 filters
Introduction to SPDEs from Probability and PDE
Avi Mayorcas
Lecture notes accompanying an 8hr hour mini-course on SPDE given at Boğaziçi University, Istanbul in June/July 2025. They are based on earlier notes of a shorter mini-course given…
A Stochastic Model of Chemorepulsion with Additive Noise and Nonlinear Sensitivity
Ilya Chevyrev, Ben Hambly, Avi Mayorcas
We consider a stochastic partial differential equation (SPDE) model for chemorepulsion, with non-linear sensitivity on the one-dimensional torus. We show that for any suitable init…
Distribution dependent SDEs driven by additive fractional Brownian motion
Lucio Galeati, Fabian A. Harang, Avi Mayorcas
We study distribution dependent stochastic differential equations with irregular, possibly distributional drift, driven by an additive fractional Brownian motion of Hurst parameter…
Distribution dependent SDEs driven by additive continuous noise
Lucio Galeati, Fabian A. Harang, Avi Mayorcas
We study distribution dependent stochastic differential equation driven by a continuous process, without any specification on its law, following the approach initiated in [16]. We…