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158 papers · 1 filter
Linear and uniform in time bound for the binary branching model with Moran type interactions
A M G Cox, E Horton, D Villemonais
In this note, we recall the definition of the binary branching model with Moran type interactions (BBMMI) introduced in [8]. In this interacting particle system, particles evolve,…
Filtering coupled Wright-Fisher diffusions
Chiara Boetti, Matteo Ruggiero
Coupled Wright-Fisher diffusions have been recently introduced to model the temporal evolution of finitely-many allele frequencies at several loci. These are vectors of multidimens…
An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
Adrian Martini, Avi Mayorcas
We study an additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics, which is proposed as an approximate model to the fluctuating hydrodynamics of chemotactically inter…
On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching
Michel Benaïm, Oliver Tough
We introduce simple conditions ensuring that invariant distributions of a Feller Markov chain on a compact Riemannian manifold are absolutely continuous with a lower semi-continuou…
Tip growth in a strongly concentrated aggregation model follows local geodesics
Frankie Higgs
We analyse the aggregate Loewner evolution (ALE), introduced in 2018 by Sola, Turner and Viklund to generalise versions of diffusion limited aggregation (DLA) in the plane using co…
Singular SPDEs on Homogeneous Lie Groups
Avi Mayorcas, Harprit Singh
The aim of this article is to extend the scope of the theory of regularity structures in order to deal with a large class of singular SPDEs of the form $$\partial_t u = \mathfrak{L…