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math.DS2013
Entrance Time and Rényi Entropy
Chinmaya Gupta, Nicolai Haydn, Milton Ko +1
For ergodic systems with generating partitions, the well known result of Ornstein and Weiss shows that the exponential growth rate of the recurrence time is almost surely equal to…
math.DS2012
Statistical properties of coupled expanding maps on a lattice with general infinite range couplings and Hölder densities
Chinmaya Gupta, Nicolai Haydn
We continue the development of transfer operator techniques for expanding maps on a lattice coupled by general interaction functions. We obtain a spectral gap for an appropriately…
math.DS2008
Extreme Value Distributions for some classes of Non-Uniformly Partially Hyperbolic Dynamical Systems
Chinmaya Gupta
In this note, we obtain verifiable sufficient conditions for the extreme value distribution for a certain class of skew product extensions of non-uniformly hyperbolic base maps. We…