23 citations · 40 across the 15 of their papers we have counts for
13 papers · 1 filter
Stability of (sub)critical non-local spatial branching processes with and without immigration
Emma Horton, Andreas E. Kyprianou, Pedro Martín-Chávez +2
We consider the setting of either a general non-local branching particle process or a general non-local superprocess, in both cases, with and without immigration. Under the assumpt…
Many-to-few for non-local branching Markov process
Simon C. Harris, Emma Horton, Ellen Powell +1
We provide a many-to-few formula in the general setting of non-local branching Markov processes. This formula allows one to compute expectations of k-fold sums over functions of th…
Binary branching processes with Moran type interactions
Alexander M. G. Cox, Emma Horton, Denis Villemonais
The aim of this paper is to study the large population limit of a binary branching particle system with Moran type interactions: we introduce a new model where particles evolve, re…
On the Stability of Positive Semigroups
Pierre del Moral, Emma Horton, Ajay Jasra
The stability and contraction properties of positive integral semigroups on Polish spaces are investigated. Our novel analysis is based on the extension of V-norm contraction metho…
A theoretical analysis of one-dimensional discrete generation ensemble Kalman particle filters
Pierre del Moral, Emma Horton
Despite the widespread usage of discrete generation Ensemble Kalman particle filtering methodology to solve nonlinear and high dimensional filtering and inverse problems, little is…
Quantum harmonic oscillators and Feynman-Kac path integrals for linear diffusive particles
Pierre del Moral, Emma Horton
We propose a new solvable class of multidimensional quantum harmonic oscillators for a linear diffusive particle and a quadratic energy absorbing well associated with a semi-defini…