66 citations · 664 across the 84 of their papers we have counts for
4 papers · 1 filter
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…
The Half-Perimeter Generating Function of Gated and Wicketed Ferrers diagrams
Arvind Ayyer
We show that the half-perimeter generating functions for the number of Wicketed and Gated Ferrers diagrams is algebraic. Furthermore, the generating function of the Wicketed Ferrer…
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…
Two Dimensional Directed Lattice Walks with Boundaries
Arvind Ayyer, Doron Zeilberger
We present general algorithms (fully implemented in Maple) for calculations of various quantities related to constrained directed walks for a general set of steps on the square lat…