Y. Nakano

activity

20142026

most citedHistoric behavior in non-hyperbolic homoclinic classes

20 citations · 123 across the 36 of their papers we have counts for

collaborators

36 papers

math.DS2026

Longest increasing subsequences of dyadic-type chaotic orbits

Shinsuke Iwao, Fumihiko Nakamura, Yushi Nakano

This paper studies the longest increasing subsequence (LIS) problem for sequences generated by dyadic-type chaotic interval maps. Starting from a single point $x \in [0, 1)$ chosen un…

math.GT2026

Bounded cohomology and optimal separating constant for representations

Yushi Nakano, Teruhiko Soma

Let $Σ$ be a closed oriented surface of genus $> 1$ and $M$ a complete hyperbolic 3-manifold with a marking $i : Σ ⟶ M$ . We consider the case that $M$ has no parabolic cu…

hep-ex2026

Search for proton decay into a single charged antilepton and a massless invisible particle using the full pure water data set of Super-Kamiokande

Kamiokande Collaboration, Y. M. Liu, K. Terada +244

A search for proton decay via $p \to l^{+} + X$ , where $l^{+}$ is a positively charged lepton and $X$ is an invisible, massless, neutral particle, was performed using a 401~kt…

math-ph2026

Stationary Measures and Mean Flux Depending on Multiple Conserved Quantities in a Stochastic Cellular Automaton

Kazushige Endo, Shinsuke Iwao, Hidetomo Nagai +1

We analyze a stochastic 5-neighbor cellular automaton with several conserved quantities, including the particle density. By examining the eigenvalue problem of the associated trans…

math.DS2026

A robust obstruction to full strong pluripotency for wild blender-horseshoes

Shin Kiriki, Xiaolong Li, Yushi Nakano +1

Suppose that $M$ is a closed manifold of dimension greater than two and $r \geq 2$ . We show that there exists a $C^r$-diffeomorphism $f:M\to M$ with a wild affine blender-horses…

math.DS2026

Functional correlation bound for random Lasota--Yorke maps with holes and its applications to conditional normal approximations

Juho Leppänen, Yuto Nakajima, Yushi Nakano

This paper investigates the statistical properties of random open dynamical systems generated by families of Lasota--Yorke maps. Open systems, in which trajectories may escape thro…

hep-ex2026

Search for proton decay via $p \to e^{+} π^{0} π^{0}$ and $p \to μ^{+} π^{0} π^{0}$ in 0.401 megaton-years exposure of Super-Kamiokande I-V

Kamiokande Collaboration, K. Abe, S. Abe +310

We searched for proton decay via $p \to e^{+} π^{0} π^{0}$ and $p \to μ^{+} π^{0} π^{0}$ in 0.401 megaton-years of data collected in all pure water detector phases of Super-Kamiokande…

math.DS2026

Non-existence of Lyapunov exponents in the Newhouse domain

Shin Kiriki, Xiaolong Li, Yushi Nakano +1

We show that within the Newhouse domain of $C^{r}$ surface diffeomorphisms ( $r \in [2, \infty)$ ), there exists a dense subset $D$ such that for any $f \in D$ , Lyapu…

math.DS2025

Finitude of physical measures for Markovian random maps

Pablo G. Barrientos, Dominique Malicet, Fumihiko Nakamura +2

We study the finiteness of physical measures for skew-product transformations $F$ associated with discrete-time random dynamical systems driven by ergodic Markov chains. We develop…

math.DS2025

Error bounds in a smooth metric for Brownian approximation of dynamical systems via Stein's method

Juho Leppänen, Yuto Nakajima, Yushi Nakano

We adapt Stein's method of diffusion approximations, developed by Barbour, to the study of chaotic dynamical systems. We establish an error bound in the functional central limit th…

math.DS2024

Length averages for codimension one foliations

Masayuki Asaoka, Yushi Nakano, Paulo Varandas +1

In this paper we study geometrical and dynamical properties of codimension one foliations, by exploring a relation between length averages and ball averages of certain group action…

math.DS2024

Takens' Last Problem and strong pluripotency

Shin Kiriki, Xiaolong Li, Yushi Nakano +2

We consider the concept of strong pluripotency of dynamical systems for a hyperbolic invariant set, as introduced in [KNS]. To the best of our knowledge, for the whole hyperbolic i…

math.DS2024★ 1 cited

Pluripotency of wandering dynamics

Shin Kiriki, Yushi Nakano, Teruhiko Soma

This paper isolates a perturbative mechanism, which we call \emph{pluripotency}, by which the symbolic and statistical behavior of prescribed orbits in a uniformly hyperbolic set c…

math.OA2022★ 1 cited

Topological entropy for countable Markov shifts and Exel--Laca algebras

Yuta Michimoto, Yushi Nakano, Hisayoshi Toyokawa +1

We show that the (Gurevich) topological entropy for the countable Markov shift associated with an infinite transition matrix $A$ coincides with the non-commutative topological entr…

math.DS2022★ 1 cited

Finitude of physical measures for random maps

Pablo G. Barrientos, Fumihiko Nakamura, Yushi Nakano +1

For random compositions of independent and identically distributed measurable maps on a Polish space, we study the existence and finitude of absolutely continuous ergodic stationar…

math.DS2022

Observable Lyapunov irregular sets for planar piecewise expanding maps

Yushi Nakano, Teruhiko Soma, Kodai Yamamoto

For any integer $r$ with $1 \leq r < \infty$ , we present a one-parameter family $F_{σ}$ $(0 < σ < 1)$ of 2-dimensional piecewise $C^{r}$ expanding maps such that each $F_{σ}$ has an ob…

math.DS2022★ 5 cited

Arcsine law for random dynamics with a core

Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa +1

In their recent paper [8], G.Hata and the fourth author first gave an example of random iterations of two piecewise linear interval maps without (deterministic) indifferent periodi…

math.DS2021★ 5 cited

Abundance of observable Lyapunov irregular sets

Shin Kiriki, Xiaolong Li, Yushi Nakano +1

Lyapunov exponent is widely used in natural science to find chaotic signal, but its existence is seldom discussed. In the present paper, we consider the problem of whether the set…

math.DS2021★ 3 cited

Historic and physical wandering domains for wild blender-horseshoes

Shin Kiriki, Yushi Nakano, Teruhiko Soma

We present diffeomorphisms of wild blender-horseshoes which belong to $C^{r}$ $(1 \leq r < \infty)$ closures of two types of diffeomorphisms, one of which has a historic contracting wan…

math.DS2021★ 1 cited

A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics

Harry Crimmins, Yushi Nakano

For smooth random dynamical systems we consider the quenched linear and higher-order response of equivariant physical measures to perturbations of the random dynamics. We show that…

math.DS2021

Quenched limit theorems for random U(1) extensions of expanding maps

Yong Moo Chung, Yushi Nakano, Jens Wittsten

The Lyapunov spectra of random U(1) extensions of expanding maps on the torus were investigated in our previous work [NW2015]. Using the result, we extend the recent spectral appro…

math.DS2021★ 3 cited

Lyapunov exponents for random maps

Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa

It has been recently realized that for abundant dynamical systems on a compact manifold, the set of points for which Lyapunov exponents fail to exist, called the Lyapunov irregular…

math.DS2021★ 3 cited

Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems

Pablo G. Barrientos, Yushi Nakano, Artem Raibekas +1

We systematically investigate examples of non-hyperbolic dynamical systems having irregular sets of full topological entropy and full Hausdorff dimension. The examples include some…

math.DS2020★ 2 cited

Mixing and observation for Markov operator cocycles

Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa

We consider generalized definitions of mixing and exactness for random dynamical systems in terms of Markov operator cocycles. We first give six fundamental definitions of mixing f…

Longest increasing subsequences of dyadic-type chaotic orbits

Bounded cohomology and optimal separating constant for representations

Search for proton decay into a single charged antilepton and a massless invisible particle using the full pure water data set of Super-Kamiokande

Stationary Measures and Mean Flux Depending on Multiple Conserved Quantities in a Stochastic Cellular Automaton

A robust obstruction to full strong pluripotency for wild blender-horseshoes

Functional correlation bound for random Lasota--Yorke maps with holes and its applications to conditional normal approximations

Search for proton decay via p→e+π0π0 and p→μ+π0π0 in 0.401 megaton-years exposure of Super-Kamiokande I-V

Non-existence of Lyapunov exponents in the Newhouse domain

Finitude of physical measures for Markovian random maps

Error bounds in a smooth metric for Brownian approximation of dynamical systems via Stein's method

Length averages for codimension one foliations

Takens' Last Problem and strong pluripotency

Pluripotency of wandering dynamics

Topological entropy for countable Markov shifts and Exel--Laca algebras

Finitude of physical measures for random maps

Observable Lyapunov irregular sets for planar piecewise expanding maps

Arcsine law for random dynamics with a core

Abundance of observable Lyapunov irregular sets

Historic and physical wandering domains for wild blender-horseshoes

A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics

Quenched limit theorems for random U(1) extensions of expanding maps

Lyapunov exponents for random maps

Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems

Mixing and observation for Markov operator cocycles

Search for proton decay via $p \to e^{+} π^{0} π^{0}$ and $p \to μ^{+} π^{0} π^{0}$ in 0.401 megaton-years exposure of Super-Kamiokande I-V