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19992026
most citedSecond Data Release of the Hyper Suprime-Cam Subaru Strategic Program

514 citations

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8 papers · 1 filter

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

Topological Bifurcation Structure Of One-Parameter Families Of Unimodal Maps

Atsuro Sannami, Tomoo Yokoyama

We consider the bifurcation structure of one-parameter families of unimodal maps whose differentiability is only . The structure of its bifurcation diagram can be a very wild…

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★ 1 cited

Random invariant densities for Markov operator cocycles and random mean ergodic theorem

Fumihiko Nakamura, Hisayoshi Toyokawa

In the present paper, we consider random invariant densities and the mean ergodic theorem for Markov operator cocycles which are applicable to quenched type random dynamical system…

math.DS2020

Asymptotic (statistical) periodicity in two-dimensional maps

Fumihiko Nakamura, Michael C. Mackey

In this paper we give a new sufficient condition for asymptotic periodicity of Frobenius-Perron operator corresponding to two--dimensional maps. The result of the asymptotic period…

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…

math.DS2020

Periodic structures for nonlinear piecewise contracting maps

Fumihiko Nakamura

In this paper, we first show that any nonlinear monotonic increasing contracting maps with one discontinuous point on a unit interval which has an unique periodic point with period…

math.DS2016★ 8 cited

Non-trivial wandering domains for heterodimensional cycles

Shin Kiriki, Yushi Nakano, Teruhiko Soma

We present a sufficient condition for three-dimensional diffeomorphisms having heterodimensional cycles to be approximated arbitrarily well by diffeomorphisms with non-trivial cont…