KAMEYAMA Atsushi

J-GLOBAL         Last updated: Jul 2, 2019 at 02:42
 
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Name
KAMEYAMA Atsushi
Affiliation
Gifu University
Section
Faculty of Engineering

Profile

fractal/topological structure of low-dimensional ldynamical systems

Research Areas

 
 

Academic & Professional Experience

 
Nov 2003
 - 
Dec 2006
Gifu University Faculty of Engineering, Department of Mathematical and Design Engineering
 

Published Papers

 
Atsushi Kameyama, Atsushi Kameyama
Advances in Mathematics   200(1) 217-244   Feb 2006
Let f : ℂ̂ → ℂ̂ be a subhyperbolic rational map of degree d. We construct a set of "proper" coding maps Cod° (f) = {πr : ∑ → J}r of the Julia set J by geometric coding trees, where the parameter r ranges over mappings from a certain tree to the Ri...
Toshiaki Fujiwara, Hiroshi Fukuda, Atsushi Kameyama, Hiroshi Ozaki, Michio Yamada
Journal of Physics A: Mathematical and General   37 10571-10584   Nov 2004
Geometrical properties of three-body orbits with zero angular momentum are investigated. If the moment of inertia is also constant along the orbit, the triangle whose vertexes are the positions of the bodies, and the triangle whose perimeters are ...
Atsushi Kameyama
Journal of the Mathematical Society of Japan   55 439-454   Apr 2003
We define Julia sets for (topological) expanding postcritically finite branched coverings on S2, and show the existence and the uniqueness of Julia sets. Our main aim is the investigation of codings of Julia sets (i.e. semiconjugacies between symb...
Atsushi Kameyama
Journal of the Mathematical Society of Japan   55 455-468   Apr 2003
We prove that for an expanding postcritically finite branched covering f, the Julia set is orientedly S1-parametrizable if and only if fn is combinatorially equivalent to the degenerate mating of two polynomials for some n > 0.
A. Kameyama
Acta Mathematica Universitatis Comenianae   71 139-145   Dec 2002
We discuss the relation between (topological) transitivity and strong transitivity of dynamical systems. We show that a transitive and open self-map of a compact metric space satisfying a certain expanding condition is strongly transitive. We also...

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2007 - 2009    Investigator(s): Atsushi KAMEYAMA
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2003 - 2005    Investigator(s): Atsushi KAMEYAMA
Among the ends of this research is to classify branched coverings on the 2-dimensional sphere up to "isotopy." In the 1-dimensional case, we have a good invariant, called a kneading sequence, which divides maps on the interval into "isotopy" class...