2 papers
math-ph2010
Quantum transfer operators and chaotic scattering
Stéphane Nonnenmacher
Transfer operators have been used widely to study the long time properties of chaotic maps or flows. We describe quantum analogues of these operators, which have been used as toy m…
math.PR2008
Non-perturbative approach to random walk in markovian environment
Dmitry Dolgopyat, Carlangelo Liverani
We prove an averaged CLT for a random walk in a dynamical environment where the states of the environment at different sites are independent Markov chains.