8 citations · 16 across the 8 of their papers we have counts for
8 papers
Rough Path Approaches to Stochastic Control, Filtering, and Stopping
Jonathan A. Mavroforas, Anthony H. Dooley
This paper presents a unified exposition of rough path methods applied to optimal control, robust filtering, and optimal stopping, addressing a notable gap in the existing literatu…
Non-singular -actions: an ergodic theorem over rectangles with application to the critical dimensions
Anthony H. Dooley, Kieran Jarrett
We adapt techniques of Hochman to prove a non-singular ergodic theorem for -actions where the sums are over rectangles with side lengths increasing at arbitrary rates…
Sub-additive ergodic theorems for countable amenable groups
Anthony H. Dooley, Valentyn Ya. Golodets, Guohua Zhang
In this paper we generalize Kingman's sub-additive ergodic theorem to a large class of infinite countable discrete amenable group actions.
A Generalised Gangolli-Levy-Khintchine Formula for Infinitely Divisible Measures and Levy Processes on Semi-Simple Lie Groups and Symmetric Spaces
David Applebaum, Anthony Dooley
In 1964 R.Gangolli published a Lévy-Khintchine type formula which characterised bi-invariant infinitely divisible probability measures on a symmetric space . His main tool…
Local Entropy Theory of a Random Dynamical System
Anthony H. Dooley, Guohua Zhang
In this paper we extend the notion of a continuous bundle random dynamical system to the setting where the action of or is replaced by the action of an infinite countable…
Topologies on the group of homeomorphisms of a Cantor set
Sergey Bezuglyi, Anthony H. Dooley, Jan Kwiatkowski
Let be the group of all homeomorphisms of a Cantor set . We study topological properties of and its subsets with respect to the uniform and weak $(τ_…