7 citations · 33 across the 18 of their papers we have counts for
5 papers · 1 filter
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…