NAKANO Yushi

論文

Observable Lyapunov irregular sets for planar piecewise expanding maps

Arcsine law for random dynamics with a core

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

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

Finitude of physical measures for random maps

Emergence via non-existence of averages

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 EXPONENTIAL MIXING FOR RANDOM EXPANDING SEMIFLOWS (Research on the Theory of Random Dynamical Systems and Fractal Geometry)

Large intersection classes for pointwise emergence

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

Highly irregular orbits for subshifts of finite type: large intersections and emergence

Historic behavior in nonhyperbolic homoclinic classes

Irregular sets for piecewise monotonic maps

Existence and Non-existence of Length Averages for Foliations

Spectra of expanding maps on besov spaces

共同研究・競争的資金等の研究課題

Dynamical systems with observable Lyapunov irregular sets

Existence and persistence of historic wandering domains for high-dimensional dynamical systems

Theoretical study of random dynamical systems through the approach of stochastic processes

Historic behavior of wandering domains for high dimensional dynamics