33 citations · 219 across the 21 of their papers we have counts for
Showing 2007 · math.DSShow all
2 papers · 2 filters
math.DS2007★ 33 cited
Quenched CLT for random toral automorphism
Arvind Ayyer, Carlangelo Liverani, Mikko Stenlund
We establish a quenched Central Limit Theorem (CLT) for a smooth observable of random sequences of iterated linear hyperbolic maps on the torus. To this end we also obtain an annea…
math.DS2007★ 22 cited
Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms
Arvind Ayyer, Mikko Stenlund
We consider pairs of toral automorphisms (A,B) satisfying an invariant cone property. At each iteration, A acts with probability p and B with probability 1-p. We prove exponential…