arXiv:2102.00026 Abstract | arXiv Analytics

arXiv:2102.00026 [math.DS]Abstract References Reviews Resources

Decay in norm of transfer operators for semiflows

Ian Melbourne, Nicolo Paviato, Dalia Terhesiu

Published 2021-01-29Version 1

We establish decay of transfer operators in a Holder norm for observables of uniformly and nonuniformly expanding semiflows with exponential decay of correlations. Our results fall short of establishing a spectral gap; indeed we prove that such a result is impossible for Holder exponent greater than 1/2.

Categories: math.DS

Keywords: transfer operators, results fall short, holder exponent greater, holder norm, exponential decay

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