2 papers
math.PR2026
The asymptotic behavior of the renormalized zero resolvent of Lévy processes under regular variation conditions
Kouji Yano, Mingdong Zhao
As an analogue to the explicit formula in the stable case, the asymptotic behavior at the origin of the renormalized zero resolvent of one-dimensional Lévy processes is studied un…
math.PR2025
Limit theorems for the fluctuation of the dynamic elephant random walk in the superdiffusive case
Go Tokumitsu, Kouji Yano
Motivated by the previous results by Coletti-de Lima-Gava-Luiz (2020) and Shiozawa (2022), we study the fluctuation of the dynamic elephant random walk in the superdiffusive case w…