SRB Measures For Certain Markov Processes (2009)
We study Markov processes generated by iterated function systems (IFS). The constituent maps of the IFS are monotonic transformations of the interval with common fixed points at 0 and 1. We first...
Eventually Expanding Maps (2008)
In this paper we show that the piecewise linear map f(x) = px for x in [0,1/p], and sx-s/p for x in (1/p,1], p > 1, 0 < s < 1 which has an expanding, onto branch and a contracting branch is...
Basis Markov Partitions and Transition Matrices for Stochastic Systems (2006)
Bollt, Erik, Gora, Pawel, Ostruszka, Andrzej, Zyczkowski, Karol
We analyze dynamical systems subjected to an additive noise and their deterministic limit. In this work, we will introduce a notion by which a stochastic system has something like a Markov partition...