2 papers
math.PR2020
Covering monotonicity of the limit shapes of first passage percolation on crystal lattices
Tatsuya Mikami
This paper studies the first passage percolation (FPP) model: each edge in the cubic lattice is assigned a random passage time, and consideration is given to the behavior of the pe…
math.PR2018
Percolation on Homology Generators in Codimension One
Yasuaki Hiraoka, Tatsuya Mikami
This paper introduces a new percolation model motivated from polymer materials. The mathematical model is defined over a random cubical set in the -dimensional space $\mathbb{R}…