514 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- National Astronomical Observatory of JapanJP49 papers
- The University of TokyoJP48 papers
- The Graduate University for Advanced Studies, SOKENDAIJP33 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP26 papers
- Hokkaido UniversityJP21 papers
- Nagoya UniversityJP21 papers
- The University of OsakaJP20 papers
- Institute for Cosmic Ray ResearchJP17 papers
- Waseda UniversityJP17 papers
- Ehime UniversityJP16 papers
- University of TsukubaJP16 papers
- University College LondonGB15 papers
8 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…
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…