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Asymptotic Counting in Conformal Dynamical Systems (Memoirs of the American Mathematical Society)

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£73.00 £58.74 £61.85 £64.96 £68.08 £71.19 £74.30 06 April 2026 19 April 2026 02 May 2026 15 May 2026 29 May 2026

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Description

In considering the general setting of conformal-graph-directed Markov systems modeled by countable state symbolic subshifts, Pollicott and Urbanski deal with two classes of such systems: attracting and parabolic, the latter being treated by means of the former. They prove fairly complete asymptotic counting results for multipliers and diameters associated with pre-images or periodic orbits ordered by a natural geometric weighting. They also prove the corresponding Central Limit Theorems describing the further features of the distribution of their weights. Their new approach is founded on spectral properties of complexified Ruelle-Perron-Frobenius operators and Tauberian theorems as used in classical problems of prime number theory. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 November 2021
Listed Since
01 November 2021

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