A joint limit theorem for compactly regenerative ergodic transformations

作者：Kocheim David^*; Zweimueller Roland

来源：Studia Mathematica, 2011, 203(1): 33-45.

DOI：10.4064/sm203-1-2

• infinite invariant measure
• null-recurrent
• limit distribution
• Darling-Kac theorem
• Mittag-Leffler distribution
• Dynkin-Lamperti arcsine law
• fluctuation theory
• indifferent fixed points
• flat critical points
• skew products

We study conservative ergodic infinite measure preserving transformations satisfying a compact regeneration property introduced by the second-named author in J. Anal. Math. 103 (2007). Assuming regular variation of the wandering rate, we clarify the asymptotic distributional behaviour of the random vector (Z(n), S(n)), where Z(n) and S(n) are respectively the time of the last visit before time n to, and the occupation time of, a suitable set Y of finite measure.

• 出版日期2011