Asymptotics for hitting times
Copyright policy )Asymptotics for hitting times
In this paper we characterize possible asymptotics for hitting times in aperiodic ergodic dynamical systems: asymptotics are proved to be the distribution functions of subprobability measures on the line belonging to the functional class {6pt} {-3mm}(A){6mm}F={F:R\to [0,1]:\left\lbrack \matrixF is increasing, null on ]-\infty, 0]; \noalignF is continuous and concave; \noalignF(t)\le t for t\ge 0.\right.}. {6pt} Note that all possible asymptotics are absolutely continuous.
Published at http://dx.doi.org/10.1214/009117904000000883 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
- Charles University Czech Republic
- Université de Toulon France
Kac, Asymptotic distribution, entrance, Probability (math.PR), hitting, Dynamical aspects of measure-preserving transformations, Central limit and other weak theorems, Measure-preserving transformations, 37A05, Dynamical systems and their relations with probability theory and stochastic processes, 37A05, 37A50, 60F05, 28D05. (Primary), 28D05, 60F05, FOS: Mathematics, 37A50, Rohlin towers, asymptotic distribution, Kac's towns, stamps, Mathematics - Probability, times
Kac, Asymptotic distribution, entrance, Probability (math.PR), hitting, Dynamical aspects of measure-preserving transformations, Central limit and other weak theorems, Measure-preserving transformations, 37A05, Dynamical systems and their relations with probability theory and stochastic processes, 37A05, 37A50, 60F05, 28D05. (Primary), 28D05, 60F05, FOS: Mathematics, 37A50, Rohlin towers, asymptotic distribution, Kac's towns, stamps, Mathematics - Probability, times
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