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math.PR2019
Martingale Nature and Laws of the Iterated Logarithm for Markov Processes of Pure-Jump Type
Yuichi Shiozawa, Jian Wang
We present sufficient conditions, in terms of the jumping kernels, for two large classes of conservative Markov processes of pure-jump type to be purely discontinuous martingales w…
math.PR2019★ 4 cited
Limiting distributions for the maximal displacement of branching Brownian motions
Yasuhito Nishimori, Yuichi Shiozawa
We determine the long time behavior and the exact order of the tail probability for the maximal displacement of a branching Brownian motion in Euclidean space in terms of the princ…