6 citations · 9 across the 8 of their papers we have counts for
8 papers
Diffusion bridge with randomized initial and terminal times and its application to fish migration
Hidekazu Yoshioka, Mohammed Louriki
We mathematically model the dynamics of the number of migratory fish observed at a fixed location along a river in a random environment. Particularly, as a new approach, we constru…
Multiple timescales in collective motion: daily and intraday upstream fish migration focusing on Feller condition
Hidekazu Yoshioka
Fish migration is a collective phenomenon that has multiple timescales, ranging from daily to intraday (hourly or even finer). We propose a unified mathematical approach using diff…
Rate-induced tipping in a solvable model with the Allee effect
Hidekazu Yoshioka
We present a novel exactly solvable ordinary differential equation model for rate-induced tipping: a dynamic phenomenon of dynamical systems where a time-dependent parameter trigge…
Diffusion bridge with misspecification: theory construction and application to high-resolution fish count data
Hidekazu Yoshioka
Stochastic processes of bridge types having pinned initial and terminal conditions have been widely used in applied research areas, but they all have a common drawback in that the…
Non-negative diffusion bridge of the McKean-Vlasov type: analysis of singular diffusion and application to fish migration
Hidekazu Yoshioka
The objective of this paper is to provide a new mathematical tool for fish migration that has not been studied well. McKean-Vlasov stochastic differential equations (MVSDEs) have b…
Theoretical and computational investigations of superposed interacting affine and more complex processes
Hidekazu Yoshioka
We theoretically and computationally investigate long-memory processes based on the Markovian lifts of affine jump-diffusion processes. A nominal superposition process consisting o…
Superposition of interacting stochastic processes with memory and its application to migrating fish counts
Hidekazu Yoshioka
Stochastic processes with long memories, known as long memory processes, are ubiquitous in various science and engineering problems. Superposing Markovian stochastic processes gene…
A mean field Jacobi process for modeling sustainable tourism
Hidekazu Yoshioka
A mean field Jacobi process governing the dynamics of the travel demand of agents is formulated and its application to sustainable tourism is investigated both mathematically and c…