12 citations · 12 across the 3 of their papers we have counts for
3 papers
math.ST2017★ 12 cited
Super Generalized Central Limit Theorem: Limit distributions for sums of non-identical random variables with power-laws
Masaru Shintani, Ken Umeno
In nature or societies, the power-law is present ubiquitously, and then it is important to investigate the mathematical characteristics of power-laws in the recent era of big data.…
nlin.CD2017
Conditional Lyapunov Exponent Criteria in terms of Ergodic Theory
Masaru Shintani, Ken Umeno
The conditional Lyapunov exponent is defined for investigating chaotic synchronization, in particular complete synchronization and generalized synchronization. We find that the con…
nlin.CD2016
Solvable Chaotic Synchronization -A New Interpretation of Common Noise-induced Synchronization with Conditional Lyapunov Exponents-
Masaru Shintani, Ken Umeno
We show the first solvable chaotic synchronization model of unidirectionally coupled dynamical systems. We establish a new interpretation of the conditional Lyapunov exponent that…