Tohoku Mathematical Journal
2006
September
SECOND SERIES VOL. 58, NO. 3

Tohoku Math. J.
58 (2006), 419-431

Title SEMI-STABLE PROCESSES ON LOCAL FIELDS

Author Kumi Yasuda

(Received November 29, 2004, revised October 6, 2005)
Abstract. Some characters of semi-stable stochastic processes on local fields such as epochs, spans, and indices are given, and differences in nature from the corresponding objects for Euclidean spaces are clarified. Criteria for the recurrence and for the polarity of one point sets are given, and it is shown that semi-stable processes are characterized as limits of suitably scaled sums of independent identically distributed random variables.

2000 Mathematics Subject Classification. Primary 60G52; Secondary 60G50.
Key words and phrases. Semi-stable processes, local field, limit theorem.

To the top of this page

Back to the Contents