16 citations · 40 across the 8 of their papers we have counts for
8 papers
Accessible hyperbolic components in anti-holomorphic dynamics
Hiroyuki Inou, Tomoki Kawahira
The tricorn, the connectedness locus of the anti-holomorphic quadratic family, is known to be non-locally connected. The boundary of every hyperbolic component of odd period contai…
Discontinuity of straightening in anti-holomorphic dynamics: II
Hiroyuki Inou, Sabyasachi Mukherjee
In [M3], Milnor found Tricorn-like sets in the parameter space of real cubic polynomials. We give a rigorous definition of these Tricorn-like sets as suitable renormalization loci,…
On The Support of The Bifurcation Measure of Cubic Polynomials
Hiroyuki Inou, Sabyasachi Mukherjee
We construct new examples of cubic polynomials with a parabolic fixed point that cannot be approximated by Misiurewicz polynomials. In particular, such parameters admit maximal bif…
A signal of competitive dominance in mid-latitude herbaceous plant communities
Jose A. Capitan, Sara Cuenda, Alejandro Ordoñez +1
Understanding the main determinants of species coexistence across space and time is a central question in ecology. However, ecologists still know little about the scales and condit…
Self-similarity for the tricorn
Hiroyuki Inou
We discuss self-similar property of the tricorn, the connectedness locus of the anti-holomorphic quadratic family. As a direct consequence of the study on straightening maps by Kiw…
Non-landing parameter rays of the multicorns
Hiroyuki Inou, Sabyasachi Mukherjee
It is well known that every rational parameter ray of the Mandelbrot set lands at a single parameter. We study the rational parameter rays of the multicorn , the c…
Combinatorics and topology of straightening maps II: Discontinuity
Hiroyuki Inou
We continue the study of straightening maps for the family of polynomials of degree . The notion of straightening map is originally introduced by Douady and Hubbard to stu…
Combinatorics and topology of straightening maps I: compactness and bijectivity
Hiroyuki Inou, Jan Kiwi
We study the parameter space structure of degree one complex variable polynomials as dynamical systems acting on $\C$. We introduce and study {\it straightening maps}. Th…