Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle

DOI10.1007/BF01199024zbMath0808.60028OpenAlexW1982255543MaRDI QIDQ1333567

Zaqueu Coelho, Pierre Collet

Publication date: 13 October 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199024

zbMATH Keywords

point processrate of expansioncontinuous invariant measureparameter measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Dynamical systems and ergodic theory (37-XX)

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Cites Work

• Ergodic properties of invariant measures for piecewise monotonic transformations
• An introduction to the theory of point processes
• A Class of Planar Quadratic Vector Fields with a Limit Cycle Surrounded by a Saddle Loop
• Poisson limit law for Markov chains
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations