The distribution of the first return time for rational maps.
From MaRDI portal
Publication:1308004
DOI10.1023/A:1004543302580zbMath1157.37320OpenAlexW1491864904MaRDI QIDQ1308004
Publication date: 22 November 1999
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1004543302580
Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items
Sharp error terms and necessary conditions for exponential hitting times in mixing processes. ⋮ Potential well spectrum and hitting time in renewal processes ⋮ Statistics of Poincaré recurrences for maps with integrable and ergodic components ⋮ Entry and return times distribution ⋮ Poisson limit for two-dimensional toral automorphism driven by continued fractions ⋮ Correlation decay and recurrence asymptotics for some robust nonuniformly hyperbolic maps ⋮ POISSON PROCESSES FOR SUBSYSTEMS OF FINITE TYPE IN SYMBOLIC DYNAMICS ⋮ Hitting and return times in ergodic dynamical systems ⋮ Statistics of return times in a self-similar model