Tohoku Mathematical Journal
- Tohoku Math. J. (2)
- Volume 58, Number 3 (2006), 419-431.
Semi-stable processes on local fields
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.
Tohoku Math. J. (2), Volume 58, Number 3 (2006), 419-431.
First available in Project Euclid: 17 November 2006
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60G52: Stable processes
Secondary: 60G50: Sums of independent random variables; random walks
Yasuda, Kumi. Semi-stable processes on local fields. Tohoku Math. J. (2) 58 (2006), no. 3, 419--431. doi:10.2748/tmj/1163775138. https://projecteuclid.org/euclid.tmj/1163775138