5 citations · 12 across the 9 of their papers we have counts for
8 papers · 1 filter
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 chosen un…
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…
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…
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…