Research Output per year

## 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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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1995 2018

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 journal › Article

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 journal › Article

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 journal › Article

loci

Locus

entropy

Horseshoe

Topological Entropy

### Dynamics of Polynomial Diffeomorphisms of C^{2}: Combinatorial and Topological Aspects

Ishii, Y., Apr 1 2017, In : Arnold Mathematical Journal. 3, 1, p. 119-173 55 p.Research output: Contribution to journal › Article

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 journal › Article

Hyperbolic Polynomial

Monodromy Group

Diffeomorphisms

Automata

Solenoid