7 citations · 33 across the 18 of their papers we have counts for
18 papers
Hausdorff dimensions of inverse images and collision time sets for symmetric Markov processes
Yuichi Shiozawa, Jian Wang
In this paper, we establish the Hausdorff dimensions of inverse images and collision time sets for a large class of symmetric Markov processes on metric measure spaces. We apply th…
Remarks on the limiting behaviors of generalized elephant random walks
Yuichi Shiozawa
We study the limiting behaviors of a generalized elephant random walk on the integer lattice. This random walk is defined by using two sequences of parameters expressing the memory…
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…
Spread rate of branching Brownian motions
Yuichi Shiozawa
We find the exponential growth rate of the population outside a ball with time dependent radius for a branching Brownian motion in Euclidean space. We then see that the upper bound…
Upper Rate Functions of Brownian Motion Type for Symmetric Jump Processes
Yuichi Shiozawa, Jian Wang
Let be a symmetric jump process on such that the corresponding jumping kernel satisfies for all…
Escape rate of the Brownian motions on hyperbolic spaces
Yuichi Shiozawa
We discuss the escape rate of the Brownian motion on a hyperbolic space. We point out that the escape rate is determined by using the Brownian expression of the radial part and a g…
Bottom crossing probability for symmetric jump processes (full version)
Yuichi Shiozawa
We determine the decay rate of the bottom crossing probability for symmetric jump processes under the condition on heat kernel estimates. Our results are applicable to symmetric st…
Rate functions for symmetric markov processes via heat kernel
Yuichi Shiozawa, Jian Wang
By making full use of heat kernel estimates, we establish the integral tests on the zero-one laws of upper and lower bounds for the sample path ranges of symmetric Markov processes…
Cosmology in One Dimension: The Two Component Universe
Yui Shiozawa, Bruce N. Miller
We investigate structure formation in a one dimensional model of a matter-dominated universe using a quasi-newtonian formulation. In addition to dark matter, luminous matter is int…
Cosmology in One Dimension: Vlasov Dynamics
Giovanni Manfredi, Jean-Louis Rouet, Bruce Miller +1
Numerical simulations of self-gravitating systems are generally based on N-body codes, which solve the equations of motion of a large number of interacting particles. This approach…
Fractal Dimension Computation From Equal Mass Partitions
Yui Shiozawa, Bruce N. Miller, Jean-Louis Rouet
While the numerical methods which utilizes partitions of equal-size, including the box-counting method, remain the most popular choice for computing the generalized dimension of mu…
Cosmology in one dimension: Symmetry role in dynamics, mass oriented approaches to fractal analysis
Bruce N. Miller, Jean-Louis Rouet, Yui Shiozawa
The distribution of visible matter in the universe, such as galaxies and galaxy clusters, has its origin in the week fluctuations of density that existed at the epoch of recombinat…
Upper escape rate of Markov chains on weighted graphs
Xueping Huang, Yuichi Shiozawa
We obtain an upper escape rate function for a continuous time minimal symmetric Markov chain, defined on a locally finite weighted graph. This upper rate function is given in terms…