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math.PR2022
The Liouville theorem for a class of Fourier multipliers and its connection to coupling
David Berger, René L. Schilling, Eugene Shargorodsky
The classical Liouville property says that all bounded harmonic functions in , i.e.\ all bounded functions satisfying , are constant. In this paper we obtain…
math.PR2022
Almost periodic stationary processes
David Berger, Farid Mohamed
We derive a necessary and sufficient condition for stochastic processes to have almost periodic finite dimensional distributions; in particular, we obtain characterizations for inf…
math.PR2022★ 3 cited
Quasi-infinite divisibility of a class of distributions with discrete part
David Berger, Merve Kutlu
We consider distributions on that can be written as the sum of a non-zero discrete distribution and an absolutely continuous distribution. We show that such a distribu…