INOU Hiroyuki

Japanese

• SNS, Web services
  • Twitter (@HiroyukiInou)
    • Movies and pictures on VR, 4D, 3D etc. (tweets are in Japanese)
  • GitHub
  • Shadertoy
    
• Programming
  • QFract: a Qt-based fractal viewer (Last update: 9 Jan 2023.)
  • HHKPS2USBDriver for Snow Leopard Slightly edited the original driver by NAKAhashi Ichiro for Snow Leopard.
  • Beamer blackboard color theme (Distributed under LPPL.)
• 3D/4D visualizations
  • See the web page of MACS VR Study Group (in Japanese).
  • Double spherical (3D) pendulum (WebVR, 6.5MB)
  • 2D & 3D pendulums (WebVR, 5.9MB)
  • 3D self-similar sets (WebGL, 4.6MB)
  • Julia sets on the Riemann sphere (WebGL, 39MB) Recommended browser: Chrome (at least Firefox on my Mac crashes!)
• 3D and 4D objects
  • The zero locus of the Green's function on C² for one-dimensional complex dynamics
• Pictures
  • Pictures for (near-)parabolic renormalizations
• Movies
  • Polyvision: 4D Space Manipulation through Multiple Projections.
    
    (See also the publication.)
  • MACS SG2 (2018) report (youtube, 360° movie)
    
  • The internal ray of angle 0 in the adjacent component of the cubic periodic curve of period 2 (similar to spinning deformation by Pilgrim-Tan). avi (58M)
• Publications, preprints
  • Straightening Maps for Polynomials with One Bounded Critical Orbit. J. Geom. Anal. 33, 314 (2023) (with Y. Wang).
  • Accessible hyperbolic components in anti-holomorphic dynamics. arXiv:2203.12156.
  • Discontinuity of straightening in anti-holomorphic dynamics: I. Trans. Amer. Math. Soc. (with S. Mukherjee).
  • Discontinuity of straightening in antiholomorphic dynamics: II. Int. Math. Res. Not., Volume 2022, Issue 9 (2022), 6948-6990 (with S. Mukherjee).
  • Polyvision: 4D Space Manipulation through Multiple Projections. SIGGRAPH Asia 2019 Emerging Technologies (with K. Matsumoto, N, Ogawa, S. Kaji, Y. Ishii and M. Hirose). (See above for the movie)
  • Double Pendulum.
  • On The Support of The Bifurcation Measure of Cubic Polynomials. Math. Ann. 378 (2020), 1-12 (with S. Mukherjee). Movie
  • Self-similarity for the tricorn. Exp. Math. 28 (2019) 440-455.
  • An implosion arising from saddle connection in 2D complex dynamics. Indiana Univ. Math. J. 68 (2019), 35-61. (with S. Nakane).
  • Non-landing parameter rays of the multicorns. Invent. Math. 204 (2016) 869-893 (with S. Mukherjee).
  • Visualization of the bifurcation locus of cubic polynomial family.
  • Combinatorics and topology of straightening maps II: Discontinuity, arXiv:0903.4289.
  • Extending local analytic conjugacies. Trans. AMS. 363 (2011), 331-343. (former title: Analytic conjugacy classes of polynomial-like mappings).
  • Combinatorics and topology of straightening maps I: compactness and bijectivity. Adv. Math. 231 (2012), 2666-2733 (with Jan Kiwi). (Preprint version in arXiv). r
  • The renormalization for parabolic fixed points and their perturbation, submitted (with Mitsuhiro Shishikura).
  • Limits of renormalizable polynomials. Nonlinearity 19 (2006), 1769--1799.
  • Homeomorphisms from Julia sets into connectedness loci. Ergodic Theory & Dynamical Systems (2006), 26, 1087--1113.
  • Renormalization and rigidity of polynomials of higher degree. J. Math. Kyoto Univ. 42 (2002), no. 2, 351--392.
  • Surgery construction for inverse branches of renormalization operator (PDF)
• Talks
  • An example of an infinitely renormalizable cubic polynomial and its combinatorial class. Holomorphic dynamics and related fields, Shanghai Center for Mathematical Sciences (September 26, 2019).
  • Discontinuity of straightening maps. Aspects of Transcendental Dynamics, Jacobs University, Bremen (June 20, 2008).
• SheepShaver screenshots (running on a FreeBSD machine)
  • FractalAsm on SheepShaver

    

  • SaddleDrop on SheepShaver

    

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Inou Hiroyuki <inou at math dot kyoto-u dot ac dot jp>