4 citations · 8 across the 5 of their papers we have counts for
5 papers
On Choice of Hyper-parameter in Extreme Value Theory based on Machine Learning Techniques
Chikara Nakamura
Extreme value theory (EVT) is a statistical tool for analysis of extreme events. It has a strong theoretical background, however, we need to choose hyper-parameters to apply EVT. I…
Cutoff for lamplighter chains on fractals
Amir Dembo, Takashi Kumagai, Chikara Nakamura
We show that the total-variation mixing time of the lamplighter random walk on fractal graphs exhibit sharp cutoff when the underlying graph is transient (namely of spectral dimens…
Rate functions for random walks on Random conuctance Models and related topics
Chikara Nakamura
We consider laws of the iterated logarithm and the rate function for sample paths of random walks on random conductance models under the assumption that the random walks enjoy long…
Laws of the Iterated Logarithm for random walks on Random Conductance Models
Takashi Kumagai, Chikara Nakamura
We derive laws of the iterated logarithm for random walks on random conductance models under the assumption that the random walks enjoy long time sub-Gaussian heat kernel estimates…
Lamplighter random walks on fractals
Takashi Kumagai, Chikara Nakamura
We consider on-diagonal heat kernel estimates and the laws of the iterated logarithms for a switch-walk-switch random walk on a lamplighter graph under the condition that the rando…