2 citations · 4 across the 6 of their papers we have counts for
9 papers
Maximal displacement of branching symmetric stable processes
Yuichi Shiozawa
We determine the limiting distribution and the explicit tail behavior for the maximal displacement of a branching symmetric stable process with spatially inhomogeneous branching st…
Transience of symmetric non-local Dirichlet forms
Yuichi Shiozawa
We establish transience criteria for symmetric non-local Dirichlet forms on in terms of the coefficient growth rates at infinity. Applying these criteria, we f…
Compactness of semigroups generated by symmetric non-local Dirichlet forms with unbounded coefficients
Yuichi Shiozawa, Jian Wang
Let $(\E,\F)$ be a symmetric non-local Dirichlet from with unbounded coefficient on $L^2(\R^d;\d x)$ defined by $$\E(f,g)=\iint_{\R^d\times \R^d} (f(y)-f(x))(g(x)-g(y)){W(x,y)}\, J…
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…
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…
Maximal displacement and population growth for branching Brownian motions
Yuichi Shiozawa
We study the maximal displacement and related population for a branching Brownian motion in Euclidean space in terms of the principal eigenvalue of an associated Schrödinger type o…