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A new transform theorem for stochastic processes with special application to counting statistics

✍ Scribed by Carel M. Van Vliet; Peter H. Handel

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
775 KB
Volume
113
Category
Article
ISSN
0378-4371

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## Abstract Let 1 ≀ __p__ < ∞ and let __T__ be an ergodic measure‐preserving transformation of the finite measure space (__X__, __ΞΌ__). The classical __L^p^__ ergodic theorem of von Neumann asserts that for any __f__ Ο΅ __L^p^__ (__X__, __ΞΌ__), equation image When __X__ = π•Š^__n__^ (the unit spher