中野 雄史

NAKANO Yushi

  • 講師
  • 学位:博士(人間・環境学)

基本情報

所属

  • Undergraduate School of Science / Department of Mathematics

ジャンル

  • 数学

研究と関連するSDGs

  • Affordable and Clean Energy
  • Decent Work and Economic Growth
  • Industry, Innovation and Infrastructure
  • Responsible Consumption and Production

詳細情報

研究キーワード

  • Random dynamical systems
  • SRB measure
  • Transfer operator
  • Dynamical systems theory
  • Ergodic theory

研究分野

  • Natural sciences Basic analysis Dynamical systems theory, ergodic theory

論文

A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics

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

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

Emergence via non-existence of averages

Spectra of expanding maps on besov spaces

Historic behaviour for nonautonomous contraction mappings

Non-trivial wandering domains for heterodimensional cycles

Historic behaviour for random expanding maps on the circle

Historic behaviour for random expanding maps on the circle (The Theory of Random Dynamical Systems and Its Applications)

Stochastic stability for fiber expanding maps via a perturbative spectral approach

The partial captivity condition for U(1) extensions of expanding maps on the circle

On the spectra of quenched random perturbations of partially expanding maps on the torus

共同研究・競争的資金等の研究課題

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

Historic behavior of wandering domains for high dimensional dynamics

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