153 citations · 1.3k across the 54 of their papers we have counts for
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Statistics of the number of renewals, occupation times and correlation in ordinary, equilibrium and aging alternating renewal processes
Takuma Akimoto
Renewal process is a point process where an inter-event time between successive renewals is an independent and identically distributed random variable. Alternating renewal process…
Estimating relaxation times from a single trajectory
Takuma Akimoto, Eiji Yamamoto, Takashi Uneyama
Complex systems such as protein conformational fluctuations and supercooled liquids exhibit a long relaxation time and are considered to posses multiple relaxation times. We analyt…
Non-Markovian effects of conformational fluctuations on the global diffusivity in Langevin equation with fluctuating diffusivity
Mutsumi Kimura, Takuma Akimoto
Local diffusivity of a protein depends crucially on the conformation, and the conformational fluctuations are often non-Markovian. Here, we investigate the Langevin equation with n…
Heterogeneous biological membranes regulate protein partitioning via fluctuating diffusivity
Ken Sakamoto, Takuma Akimoto, Mayu Muramatsu +3
Cell membranes phase separate into ordered and disordered domains depending on their compositions. This membrane compartmentalization is heterogeneous and r…
Sample-to-sample fluctuations of transport coefficients in the totally asymmetric simple exclusion process with quenched disorder
Issei Sakai, Takuma Akimoto
We consider the totally asymmetric simple exclusion processes on quenched random energy landscapes. We show that the current and the diffusion coefficient differ from those for hom…