3 papers
math.DS2005
Livsic Regularity For Markov Systems
Henk Bruin, Mark Holland, Matthew Nicol
We prove measurable Livsic theorems for dynamical systems modelled by Markov Towers. Our regularity results apply to solutions of cohomological equations posed on Henon-like mappin…
physics.data-an2004
Variable Step Random Walks and Self-Similar Distributions
Gemunu H. Gunaratne, Joseph L. McCauley, Matthew Nicol +1
We study a scenario under which variable step random walks give anomalous statistics. We begin by analyzing the Martingale Central Limit Theorem to find a sufficient condition for…
math.PR2000
On the fine structure of stationary measures in systems which contract-on-average
Matthew Nicol, Nikita Sidorov, David Broomhead
Suppose is a set of Lipschitz maps of . We form the iterated function system (IFS) by independently choosing the maps so that the map is chose…