5 citations · 13 across the 9 of their papers we have counts for
9 papers
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 associated with discrete-time random dynamical systems driven by ergodic Markov chains. We develop…
Invariant measures for random piecewise convex maps
Tomoki Inoue, Hisayoshi Toyokawa
We show the existence of Lebesgue-equivalent conservative and ergodic -finite invariant measures for a wide class of one-dimensional random maps consisting of piecewise convex m…
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 coincides with the non-commutative topological entr…
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…
Stability of energy landscape for Ising models
Bruno Hideki Fukushima-Kimura, Akira Sakai, Hisayoshi Toyokawa +1
In this paper, we explore the stability of the energy landscape of an Ising Hamiltonian when subjected to two kinds of perturbations: a perturbation on the coupling coefficients an…
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…
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…