## Tohoku Mathematical Journal

### Semi-stable processes on local fields

Kumi Yasuda

#### 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.

#### Article information

Source
Tohoku Math. J. (2), Volume 58, Number 3 (2006), 419-431.

Dates
First available in Project Euclid: 17 November 2006

https://projecteuclid.org/euclid.tmj/1163775138

Digital Object Identifier
doi:10.2748/tmj/1163775138

Mathematical Reviews number (MathSciNet)
MR2273278

Zentralblatt MATH identifier
1112.60039

Subjects
Primary: 60G52: Stable processes
Secondary: 60G50: Sums of independent random variables; random walks

#### Citation

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

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