3 papers
math.PR2026
Elephant Random Walks on Coverings of Dipole Graphs
Nobuaki Naganuma, Kaito Yura
In the present paper, we introduce and analyze elephant random walks (ERWs) on bipartite periodic lattices arising as coverings of dipole graphs. We focus on lattices whose admissi…
math.PR2025
Hölder estimates and weak convergences of certain weighted sum processes
Shigeki Aida, Nobuaki Naganuma
We study weighted sum processes associated to elements in a Wiener chaos with fixed order. More precisely, we show Hölder estimates and a functional limit theorem for them. Main t…
math.PR2025
An interpolation of discrete rough differential equations and its applications to analysis of error distributions
Shigeki Aida, Nobuaki Naganuma
We consider the solution and several approximate solutions of a rough differential equation driven by a fractional Brownian motion with th…