173 citations
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- University of Illinois Urbana-ChampaignUS16 papers
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math.PR2008★ 4 cited
Convexity and smoothness of scale functions and de Finetti's control problem
A. E. Kyprianou, V. Rivero, R. Song
Under appropriate conditions, we obtain smoothness and convexity properties of -scale functions for spectrally negative Lévy processes. Our method appeals directly to very recen…
math.PR2006★ 2 cited
Sharp probability estimates for random walks with barriers
Kevin Ford
We give sharp, uniform estimates for the probability that a random walk of n steps on the reals avoids a half-line [y,infinity) given that it ends at the point x. The estimates hol…
math.PR2006★ 1 cited
Potential Theory of Truncated Stable Processes
Panki Kim, Renming Song
For any 0 < alpha <2, a truncated symmetric alpha-stable process is a symmetric Levy process in R^d with a Levy density given by c|x|^{-d-alpha} 1_{|x|< 1} for some constant c. In…