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.
Citation
Kumi Yasuda. "Semi-stable processes on local fields." Tohoku Math. J. (2) 58 (3) 419 - 431, 2006. https://doi.org/10.2748/tmj/1163775138
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