Reimi Irokawa

activity

20192026

collaborators

6 papers

math.DS2026

Non-archimedean and hybrid dynamics of regular polynomial automorphisms

Reimi Irokawa

In this paper, we study the weak limit of the invariant measures attached to an analytic family ${f_{t}}_{t \in D^{*}}$ of regular polynomial automorphisms over $C^{N}$ …

math.DS2025

Meromorphic degeneration of rational functions over snc models of the projective line

Reimi Irokawa

For an analytic family ${f_{t}}_{t \in D^{*}}$ on the unit punctured disk that meromorphically degenerates at the origin, we show that its limiting measure on an snc model is…

math.DS2024

Hybrid dynamics of hyperbolic automorphisms of K3 surfaces

Reimi Irokawa

We study degenerating families of hyperbolic dynamics over complex K3 surfaces by means of the theory of hybrid spaces by Boucksom, Favre, and Jonsson. For an analytic family of hy…

math.DS2022

Hybrid dynamics of Hénon mappings

Reimi Irokawa

For studying the meromorphic degeneration of complex dynamics, the theory of hybrid spaces, introduced by Boucksom, Favre and Jonsson, is known to be a strong tool. In this paper,…

math.AG2021

Ramification loci of non-archimedean cubic rational functions

Reimi Irokawa

For a cubic rational function with coefficients in a non-archimedean field $K$ whose residue characteristic is $0$ or greater than $3$ , there are $2$ possibilities for the shape of…

math.DS2019

Activity measures of dynamical systems over non-archimedean fields

Reimi Irokawa

Toward the understanding of bifurcation phenomena of dynamics on the Berkovich projective line $P^{1, an}$ over non-archimedean fields, we study the stability (or passivity…