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math.DS2012★ 3 cited
A note on the limiting entry and return times distributions for induced maps
Nicolai T A Haydn
For ergodic measures we consider the return and entry times for a measure preserving transformation and its induced map on a positive measure subset. We then show that the limiting…
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…