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Fingerprint Dive into the research topics where Yutaka Ishii is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Julia set Mathematics
Hyperbolic Polynomial Mathematics
Diffeomorphisms Mathematics
Kneading Theory Mathematics
entropy Physics & Astronomy
Entropy numbers Mathematics
Horseshoe Mathematics
Pruning Mathematics

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Research Output 1995 2018

  • 162 Citations
  • 8 h-Index
  • 17 Article
  • 2 Comment/debate
1 Citation (Scopus)

{\mathcal{M}}:{4} is regular-closed

HIMEKI, YUTARO. & Ishii, Y., Apr 10 2018, (Accepted/In press) In : Ergodic Theory and Dynamical Systems. p. 1-8 8 p.

Research output: Contribution to journalArticle

Closed
Fractals
Contraction
Mandelbrot set
Self-similar Set
1 Citation (Scopus)

Boundary of the horseshoe locus for the Hénon family

Arai, Z., Ishii, Y. & Takahasi, H., Jan 1 2018, In : SIAM Journal on Applied Dynamical Systems. 17, 3, p. 2234-2248 15 p.

Research output: Contribution to journalArticle

Horseshoe
Machinery
Locus
Parameter Space
Equilibrium Measure
1 Citation (Scopus)

On Parameter Loci of the Hénon Family

Arai, Z. & Ishii, Y., Jul 1 2018, In : Communications in Mathematical Physics. 361, 2, p. 343-414 72 p.

Research output: Contribution to journalArticle

loci
Locus
entropy
Horseshoe
Topological Entropy

Dynamics of Polynomial Diffeomorphisms of C2: Combinatorial and Topological Aspects

Ishii, Y., Apr 1 2017, In : Arnold Mathematical Journal. 3, 1, p. 119-173 55 p.

Research output: Contribution to journalArticle

Julia set
Diffeomorphisms
Fractal Set
Stable and Unstable Manifolds
Polynomial
4 Citations (Scopus)

Hyperbolic polynomial diffeomorphisms of C2. III: Iterated monodromy groups

Ishii, Y., Apr 1 2014, In : Advances in Mathematics. 255, p. 242-304 63 p.

Research output: Contribution to journalArticle

Hyperbolic Polynomial
Monodromy Group
Diffeomorphisms
Automata
Solenoid