SUMI Hiroki

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Name
SUMI Hiroki
Affiliation
Kyoto University
Section
Graduate School of Human and Environmental Studies Department of Human Coexistence
Degree
Ph.D(Human and Environmental study)(Kyoto University)
Research funding number
40313324

Academic & Professional Experience

 
Apr 2007
 - 
Mar 2017
Associate Professor, Osaka University Graduate School of Science, Department of Mathematics, Graduate School of Science and Engineering, Mathematics
 
2007
   
 
- Graduate School of Science, Osaka University, Associate Professor
 

Education

 
 
 - 
1999
Graduate School, Division of Human and Environmental Studies, Kyoto University
 
 
 - 
1999
Graduate School, Division of Human and Environmental Studies, Kyoto University
 
 
 - 
1994
Faculty of Science, Kyoto University
 

Awards & Honors

 
Sep 2019
Study on semigroups and random dynamics of rational functions of one complex variable, The 2019 MSJ Analysis Prize, Mathematical Society of Japan
 
Aug 2012
Osaka University President Award (research)
 
2000
Takebe Prize
 

Published Papers

 
Hereditarily non uniformly perfect sets
SUMI Hiroki
Discrete and Continuous Dynamical Systems Series S   12(8)    Dec 2019   [Refereed]
Jaerisch Johannes, Sumi Hiroki
ADVANCES IN MATHEMATICS   313 839-874   Jun 2017   [Refereed]
Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method
Johannes Jaerisch, Hiroki Sumi
Trans. Amer. Math. Soc.   369(9) 6147-6187   2017   [Refereed]
Rich Stankewitz, Hiroki Sumi
Discrete and Continuous Dynamical Systems- Series A   36 6475-6485   Nov 2016   [Refereed]
© 2016, Southwest Missouri State University. All rights reserved. We extend a result regarding the Random Backward Iteration algorithm for drawing Julia sets (known to work for certain rational semigroups containing a non-Möbius element) to a clas...
Sumi Hiroki
ADVANCES IN MATHEMATICS   290 809-859   Feb 2016   [Refereed]
Johannes Jaerisch, Hiroki Sumi
Nonlinearity   28 2913-2938   Jul 2015   [Refereed]
© 2015 IOP Publishing Ltd & London Mathematical Society. We consider the multifractal formalism for the dynamics of semigroups of rational maps on the Riemann sphere and random complex dynamical systems. We elaborate a multifractal analysis of l...
Hiroki Sumi
Nonlinearity   28 1135-1161   Apr 2015   [Refereed]
© 2015 IOP Publishing Ltd & London Mathematical Society Printed in the UK. We investigate the random dynamics of polynomial maps on the Riemann sphereℂ and the dynamics of semigroups of polynomial maps onℂ. In particular, the dynamics of a semig...
Rich Stankewitz, Hiroki Sumi
Discrete and Continuous Dynamical Systems- Series A   35 2165-2175   Jan 2015   [Refereed]
© 2015 Discrete and Continuous Dynamical Systems. We provide proof that a random backward iteration algorithm for approximating Julia sets of rational semigroups, previously proven to work in the context of iteration of a rational function of degr...
Hiroki Sumi
Advances in Mathematics   245 137-181   Oct 2013   [Refereed]
We investigate the random dynamics of rational maps and the dynamics of semigroups of rational maps on the Riemann sphere Ĉ. We show that regarding random complex dynamics of polynomials, generically, the chaos of the averaged system disappears at...
Hiroki Sumi
Journal of the London Mathematical Society   88 294-318   Aug 2013   [Refereed]
We investigate the dynamics of semigroups generated by polynomial maps on the Riemann sphere such that the postcritical set in the complex plane is bounded. Moreover, we investigate the associated random dynamics of polynomials. Furthermore, we in...
Hiroki Sumi, Mariusz Urbański
Advances in Mathematics   234 697-7354   Feb 2013   [Refereed]
We study finitely generated expanding semigroups of rational maps with overlaps on the Riemann sphere. We show that if a d-parameter family of such semigroups satisfies the transversality condition, then for almost every parameter value the Hausdo...
Hiroki Sumi, Mariusz Urbański
Discrete and Continuous Dynamical Systems   32 2591-2606   Jul 2012   [Refereed]
We estimate the Bowen parameters and the Hausdorff dimensions of the Julia sets of expanding finitely generated rational semigroups. We show that the Bowen parameter is larger than or equal to the ratio of the entropy of the skew product map f̃ an...
Hiroki Sumi, Mariusz Urbański
Discrete and Continuous Dynamical Systems   Vol. 30, No. 1, 313 - 363 313-363   May 2011   [Refereed]
We consider the dynamics of semi-hyperbolic semigroups generated by finitely many rational maps on the Riemann sphere. Assuming that the nice open set condition holds it is proved that there exists a geometric measure on the Julia set with exponen...
Hiroki Sumi
Discrete and Continuous Dynamical Systems   Vol. 29, No. 3, 1205--1244. 1205-1244   Mar 2011   [Refereed]
We investigate the dynamics of semigroups generated by a family of polynomial maps on the Riemann sphere such that the postcritical set in the complex plane is bounded. The Julia set of such a semigroup may not be connected in general. We show tha...
Hiroki Sumi
Proceedings of the London Mathematical Society   102 (1), 50--112. 50-112   Jan 2011   [Refereed]
We investigate the random dynamics of rational maps on the Riemann sphere and the dynamics of semigroups of rational maps on . We show that regarding random complex dynamics of polynomials, in most cases, the chaos of the averaged system disappear...
Hiroki Sumi
Ergodic Theory and Dynamical Systems   Vol. 30, No. 6, 1869--1902. 1869-1902   Dec 2010   [Refereed]
We investigate the dynamics of polynomial semigroups (semigroups generated by a family of polynomial maps on the Riemann sphereℂ̂) and the random dynamics of polynomials on the Riemann sphere. Combining the dynamics of semigroups and the fiberwise...
Hiroki Sumi, Mariusz Urbaski
Ergodic Theory and Dynamical Systems   Vol. 30, No. 2, 601-633. 601-633   Apr 2010   [Refereed]
We consider the dynamics of expanding semigroups generated by finitely many rational maps on the Riemann sphere. We show that for an analytic family of such semigroups, the Bowen parameter function is real-analytic and plurisubharmonic. Combining ...
Rational semigroups, random complex dynamics and singular functions on the complex plane
Hiroki Sumi
Selected Papers on Analysis and Differential Equations, Amer. Math. Soc. Transl.   Vol. 230, No. 2, 161--200    2010   [Refereed]
Hiroki Sumi
Advances in Mathematics   222 (3), 729--781 729-781   Oct 2009   [Refereed]
We investigate the dynamics of forward or backward self-similar systems (iterated function systems) and the topological structure of their invariant sets. We define a new cohomology theory (interaction cohomology) for forward or backward self-simi...
Mario Roy, Hiroki Sumi, Mariusz Urbański
Ergodic Theory and Dynamical Systems   29, No. 2, 685-713. 685-713   Apr 2009   [Refereed]
This paper deals with families of conformal iterated function systems (CIFSs). The space CIFS(X,I) of all CIFSs, with common seed space X and alphabet I, is successively endowed with the topology of pointwise convergence and the so-calledλ-topolog...
Hiroki Sumi, Mariusz Urbański
Monatshefte fur Mathematik   156, no. 4, 371--390. 371-390   Apr 2009   [Refereed]
We consider the dynamics of skew product maps associated with finitely generated semigroups of rational maps on the Riemann sphere. We show that under some conditions on the dynamics and the potential function ψ, there exists a unique equilibrium ...
Mario Roy, Hiroki Sumi, Mariusz Urbański
Nonlinearity   21, 2255-2279 2255-2279   Oct 2008   [Refereed]
This paper deals with analytic families of holomorphic iterated function systems (IFSs). Using real analyticity of the pressure function (which we prove), we establish a classification theorem for analytic families of holomorphic IFSs which depend...
Sumi Hiroki
ERGODIC THEORY AND DYNAMICAL SYSTEMS   28 1043-1045   Jun 2008   [Refereed]
Stankewitz Rich, Sumi Hiroki
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY   363(10) 5293-5319   Oct 2011   [Refereed]
Stankewitz Rich, Sumi Hiroki
APPLIED MATHEMATICS AND COMPUTATION   187(1) 479-488   Apr 2007   [Refereed]
Sumi Hiroki
APPLIED MATHEMATICS AND COMPUTATION   187(1) 489-500   Apr 2007   [Refereed]
Hiroki Sumi
Ergodic Theory and Dynamical Systems   26 (2006), 893-922 893-922   Jun 2006   [Refereed]
This paper is based on the author's previous work (Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products. Ergod. Th. & Dynam. Sys. 21 (2001), 563-603). We consider fiber-preserving complex dynamics on fiber bundles...
Hartje Kriete, Hiroki Sumi
Kyoto Journal of Mathematics   45 427   Jan 2005   [Refereed]
Dimensions of Julia sets of expanding rational semigroups
Hiroki Sumi
Kodai Mathematical Journal   28 390-422   2005   [Refereed]
Rich Stankewitz, Toshiyuki Sugawa, Hiroki Sumi
Annales Academiae Scientiarum Fennicae Mathematica   29(29) 357-366   Dec 2004   [Refereed]
We give an example of two rational functions with non-equal Julia sets that generate a rational semigroup whose completely invariant Julia set is a closed line segment. We also give an example of polynomials with unequal Julia sets that generate a...
Hiroki Sumi
Ergodic Theory and Dynamical Systems   21 563-603   Apr 2001   [Refereed]
We consider dynamics of sub-hyperbolic and semi-hyperbolic semigroups of rational functions on the Riemann sphere and will show some no wandering domain theorems. The Julia set of a rational semigroup in general may have non-empty interior points....
Hiroki Sumi
Nonlinearity   13 995-1019   Jul 2000   [Refereed]
We consider skew-product maps related to dynamics of semigroups generated by rational maps on the Riemann sphere. The entropy of these maps will be given and we will see there exists the unique maximal entropy measure. We will also show the unique...
Hartje Kriete, Hiroki Sumi
Kyoto Journal of Mathematics   40(2) 205-216   Jan 2000   [Refereed]
This paper deals with semihyperbolic semigroups which are generated by entire (possibly transcendental) functions. In particular, a criterion is given assuring that a given entire semigroup is semihyperbolic. Note that a semihyperbolic semigroup G...
On Hausdorff dimension of Julia sets of hyperbolic rational semigroups
Hiroki Sumi
Kodai Mathematical Journal   21(1) 10-28   1998   [Refereed]
Hiroki Sumi
Kyoto Journal of Mathematics   Vol 37 No.4, 717-733/, 717-733   Jan 1997   [Refereed]

Misc

 
Random dynamics of polynomials and singular functions in the complex plane
   2007
Random Julia sets that are Jordan curves but not quasicircles
   2007
Random Julia sets that are Jordan curves but not quasicircles
   2006
Rational semigroups, random complex dynamics and singular functions in the complex plane
   2006
Rando dynamics of polynomials and singular functions in the complex plane
   2006
Hiroki Sumi
   2006
The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity
   2006
Random dynamics of polynomials and singular functions in the complex plane
   2006
Random dynamics of polynomials and devil's-staircase-like functions in the complex plane
   2005
Random complex dynamics and singular functions on the complex plane
   2009
Random complex dynamics and singular functions on the complex plane
   2008
Random complex dynamics and singular functions on the complex plane
   2008
Cooperation principle in random complex dynamics and singular functions on the complex plane
   2010
Cooperation principle in random complex dynamics and singular functions on the complex plane
   2009
Cooperation principle in random complex dynamics and singular functions on the complex plane
   2009
Cooperation principle in random complex dynamics and singular functions on the complex plane
   2009
Cooperation principle in random complex dynamics and singular functions on the complex plane
   2009
Random complex dynamics and singular functions on the complex plane
   2009
Random complex dynamics and singular functions on the complex plane
   2009
Random complex dynamics and singular functions on the complex plane
   2009
Rational semigroups, random complex dynamics and singular functions on the complex plane
Sugaku   第61卷第2号133-161    2009
Cooperation principle and stability in random complex dynamics
   2011
Cooperation principle, stability and bifurcation in random complex dynamics
   2011
Cooperation principle and density of stable systems in random complex dynamics
   2010
Cooperation principle and disappearance of chaos in random complex dynamics
   2010
Cooperation principle and disappearance of chaos in random complex dynamics
   2010
Cooperation principle, stability and bifurcation in random complex dynamics
   2010

Conference Activities & Talks

 
Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps
SUMI Hiroki
The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications   9 Jul 2018   
Weak Mean  Stability  in Random Holomorphic Dynamical Systems [Invited]
Hiroki Sumi
CIMPA- IMH-VAST research school on "Recent developments in stochastic dynamics and stochastic analysis"   16 Mar 2018   
Weak mean stability in random holomorphic dynamical sys- tems
Hiroki Sumi
8 Jan 2018   
Weak Mean Stability in Random Holomorphic Dynamical Systems
Hiroki Sumi
11 Dec 2017   
Weak Mean  Stability  in Random Holomorphic Dynamical Systems [Invited]
Hiroki Sumi
``Random Dynamical Systems", Lorentz Center workshop   5 Dec 2017   
Weak mean stability in random holomorphic dynamical systems
Hiroki Sumi
23 Nov 2017   
Mean stability and spectral gap property in random dynamical systems [Invited]
Hiroki Sumi
12 Oct 2017   
Multifractal analysis of the real and complex random dynamical systems [Invited]
Hiroki Sumi
12 Oct 2017   
Weak mean stability in random holomorphic dynamical systems
Hiroki Sumi
26 Sep 2017   
Finding roots of any polynomial by random relaxed Newton's methods [Invited]
Hiroki Sumi
2017 AMS sectional meeting, Special Session on dynamics, Geometry and Number Theory   10 Sep 2017   
Finding roots of any polynomials by random relaxed Newton's methods [Invited]
Hiroki Sumi
Kyoto Dynamical Systems Seminar   26 May 2017   
Stability and bifurcation in random complex dynamics [Invited]
Hiroki Sumi
Kyoto Dynamics Days: Random Dynamical Systems Theory and Its Applications     28 Apr 2017   
Finding roots of any polynomials by random relaxed Newton's methods [Invited]
Hiroki Sumi
Kyoto Dynamics Days: Random Dynamical Systems Theory and Its Applications   27 Apr 2017   
Finding roots of any polynomials by random relaxed Newton's methods [Invited]
SUMI Hiroki
2017 Joint Mathematics Meeting, AMS Special Session on Ergodic Theory and Dynamical Systems   17 Jan 2017   
Finding roots of any polynomials by random relaxed Newton's methods [Invited]
SUMI Hiroki
RIMS研究集会「複素力学系およびそのモヂュライ等の関連分野の研究」   12 Dec 2016   
Finding roots of any polynomials by random relaxed Newton's methods
SUMI Hiroki
エルゴード理論とその周辺   26 Nov 2016   
ランダム緩ニュートン法により任意の複素多項式の根を見つける [Invited]
SUMI Hiroki
東工大複素解析セミナー   2 Nov 2016   
Finding roots of any polynomials by random relaxed Newton's methods [Invited]
SUMI Hiroki
Conference of Complex Analysis in China 2016   21 Oct 2016   
Finding roots of any polynomials by random relaxed Newton's methods
SUMI Hiroki
日本数学会   15 Sep 2016   
Hausdorff Dimension of the Julia sets of Postcritically Bounded Polynomial Semigroups and the Transversality Condition [Invited]
SUMI Hiroki
AIMS 2016 meeting, Orlando   4 Jul 2016   
有限生成有理半群のJulia集合を描くためのランダム後方軌道法 [Invited]
SUMI Hiroki
研究集会「力学系と計算」   25 Mar 2016   
Randomness-induced phenomena and negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
Workshop on Theory and Applications of Random and Non-autonomous Dynamical Systems   22 Mar 2016   
Hausdorff dimension of the Julia sets of postcritically bounded polynomial semigroups and transversality condition
SUMI Hiroki
日本数学会   16 Mar 2016   
Hausdorff dimension of the Julia sets of postcritically bounded polynomial semigroups and transversality condition
SUMI Hiroki
2015年度冬の力学系研究集会   9 Jan 2016   
Hausdorff dimension of the Julia sets of postcritically bounded polynomial semigroups and transversality condition [Invited]
SUMI Hiroki
数理解析研究所研究集会「複素力学系の深化」   7 Dec 2015   
Hausdorff dimension of the Julia sets of postcritically bounded polynomial semigroups and transversality condition
SUMI Hiroki
エルゴード理論とその周辺   27 Nov 2015   
Complex Analogues of the Takagi function in Random Complex Dynamics [Invited]
SUMI Hiroki
AMS Sectional Meeting Special Session on Fractal Geometry and Dynamical Systems   17 Oct 2015   
Multifractal Analysis for the Complex Analogues of the Devil's staircase and the Takagi function in Random Complex Dynamics [Invited]
SUMI Hiroki
Measurable and Topological Dynamical Systems   17 Oct 2015   
Randomness-induced phenomena and negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
第58回函数論シンポジウム   10 Oct 2015   
ランダム複素力学系に現れる複素高木関数の各点ヘルダー指数のマルチフラクタル解析
SUMI Hiroki
数理解析研究所研究集会「ランダム力学系理論とその応用」   28 Sep 2015   
Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
49th Spring Topology and Dynamics Conference   14 May 2015   
ランダム複素多項式力学系におけるランダム性誘起現象とリアプノフ指数の負値性
SUMI Hiroki
日本数学会   23 Mar 2015   
Multifractal analysis for complex analogues of the devil's staircase and the Takagi function in random complex dynamics [Invited]
SUMI Hiroki
研究集会「Workshop on Tex-transformation and related topics」   10 Mar 2015   
Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
AMS-MAA Joint mathematics meeting   11 Jan 2015   
Complex analogues of the Takagi function in random complex dynamics [Invited]
SUMI Hiroki
数理解析研究所研究集会「複素力学系の総合的研究」   8 Dec 2014   
Complex analogues of the Takagi function in random complex dynamics
SUMI Hiroki
エルゴード理論とその周辺   3 Dec 2014   
Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
Boston University/Keio University Workshop 2014 Dynamical Systems   19 Sep 2014   
Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
Workshop on Theory and Applications of Random/Non-autonomous Dynamical Systems   9 Sep 2014   
Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
Holomorphic Dynamics in One and Several Variables   23 Aug 2014   
Dimensions and measures of Julia sets of expanding rational semigroups with overlaps
SUMI Hiroki
数理解析研究所研究集会「力学系:理論と応用の相互作用」   10 Jun 2014   
Transversality family of expanding rational semigroups and contracting IFSs with overlaps [Invited]
SUMI Hiroki
Spring Central Sectional MEeting   11 Apr 2014   
ランダム複素力学系に現れる悪魔のコロシアムのマルチフラクタル解析 [Invited]
SUMI Hiroki
非線形・非平衡系シンポジウムII-複雑系とエルゴード理論-   13 Mar 2014   
ランダム複素力学系におけるランダム性誘起現象
SUMI Hiroki
数理解析研究所研究集会「ランダム力学系理論とその応用」   20 Feb 2014   
Negativity of Lyapunov exponents in generic random dynamical systems of complex polynomials
SUMI Hiroki
2013 年度冬の力学系研究集会   11 Jan 2014   
Transversality family of expanding rational semigroups and contracting IFSs with overlaps
SUMI Hiroki
Measurable and Topological Dynamical Systems | Keio 2013   12 Dec 2013   
Negativity of Lyapunov Exponents in Generic Random Dynamical Systems of Complex Polynomials [Invited]
SUMI Hiroki
京都大学数理解析研究所研究集会「Geometry of Moduli Space of Low Dimensional Manifolds」   8 Nov 2013   
ランダム複素力学系におけるリアプノフ指数の負値性と乱雑性誘起現象 [Invited]
SUMI Hiroki
研究集会「力学系・カオス・複雑系のエルゴード論」   29 Aug 2013   
Negativity of Lyapunov exponents in generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
PRIMA 2013   24 Jun 2013   
Negativity of Lyapunov exponents of generic random dynamical systems of complex polynomials [Invited]
SUMI Hiroki
研究集会「複素解析的ベクトル場・葉層構造とその周辺」    9 Jun 2013   
ランダム複素力学系におけるランダム性誘起現象 [Invited]
SUMI Hiroki
金沢大学数学教室談話会   5 Jun 2013   
Random complex dynamics by holomorphic families of rational functions with non-empty kernel Julia sets
SUMI Hiroki
2012年度冬の力学系研究集会   12 Jan 2013   
Random complex dynamics by holomorphic families of rational functions with non-empty kernel Julia sets [Invited]
SUMI Hiroki
複素力学系の新展開   10 Dec 2012   
Random complex dynamics by holomorphic families of rational functions with non-empty kernel Julia sets
SUMI Hiroki
Ergodic Theory and Metric Number Theory   4 Dec 2012   
Stability, bifurcation and classification of minimal sets in random complex dynamics [Invited]
SUMI Hiroki
Workshop on Non-uniformly Hyperbolic and Neutral One-dimensional Dynamics   25 Apr 2012   
Randomness-induced phenomena in random complex dynamics [Invited]
SUMI Hiroki
Dynamics of Complex Systems   8 Mar 2012   
Stability, Bifurcation and Classication of Minimal Sets in Random Complex Dynamics
SUMI Hiroki
複素力学系の総合的研究   27 Jan 2012   
Stability and bifurcation in random complex dynamics [Invited]
SUMI Hiroki
miniworkshop ``Thermodynamic Formalism, Geometry and Stochastics   2 Jan 2012   
Cooperation principle and stability in random complex dynamics [Invited]
SUMI Hiroki
Automorphisms of algebraic varieties -- Dynamics and Arithmetic   19 Dec 2011   
Stability and bifurcation in random complex dynamics
SUMI Hiroki
The 19th International Conference on Finite or Innite Dimensional Complex Analysis and Applications   12 Dec 2011   
Stability and bifurcation in random complex dynamics
SUMI Hiroki
エルゴード理論とその周辺   8 Dec 2011   
Cooperation principle and stability in random complex dynamics [Invited]
SUMI Hiroki
Goettingen-Penn State International Summer School on Dynamical Systems   10 Aug 2011   
Cooperation principle and stability in random complex dynamics [Invited]
SUMI Hiroki
」Dynamics of Complex Systems 2011   9 Mar 2011   
Cooperation principle, stability and bifurcation in random complex dynamics
SUMI Hiroki
2010 年度冬の力学系研究集会   8 Jan 2011   
Cooperation principle and density of stable systems in random complex dynamics [Invited]
SUMI Hiroki
RIMS研究集会「複素力学系とその周辺分野の研究」   8 Dec 2010   
Cooperation principle, stability and bifurcation in random complex dynamics [Invited]
SUMI Hiroki
第53 回 函数論シンポジウム   23 Nov 2010   
ランダムな複素力学系における協調原理、安定性と分岐 [Invited]
SUMI Hiroki
慶応大学幾何セミナー   15 Nov 2010   
ランダムな複素力学系における協調原理、安定性と分岐(2) [Invited]
SUMI Hiroki
北海道大学第149 回複雑系セミナー2   26 Oct 2010   
ランダムな複素力学系における協調原理、安定性と分岐(1) [Invited]
SUMI Hiroki
北海道大学第149 回複雑系セミナー   25 Oct 2010   
Cooperation principle and disappearance of chaos in random complex dynamics
SUMI Hiroki
Stochastic Processes and Their Application   7 Sep 2010   
Cooperation principle and disappearance of chaos in random complex dynamics [Invited]
SUMI Hiroki
Conference on Complex Analysis   21 May 2010   
ランダムな複素力学系の極限状態に出現する複素平面上の特異関数 [Invited]
SUMI Hiroki
北海道大学 数学連携サロン第21 回、第142 回複雑系セミナー   27 Apr 2010   
ランダムな複素力学系における協調原理とカオスの消滅 [Invited]
SUMI Hiroki
北海道大学数学連携サロン第20 回、第141 回複雑系セミナー   26 Apr 2010   
ランダムな複素力学系における協調原理と複素平面上の特異関数 [Invited]
SUMI Hiroki
九州大学力学系セミナー   16 Feb 2010   
Cooperation principle in random complex dynamics and singular functions on the complex plane
SUMI Hiroki
2009 年度冬の力学系研究集会   10 Jan 2010   
Cooperation principle in random complex dynamics and singular functions on the complex plane [Invited]
SUMI Hiroki
複素力学系とその関連分野の総合的研究   16 Dec 2009   
Cooperation principle in random complex dynamics and singular functions on the complex plane
SUMI Hiroki
「エルゴード理論の最近の話題   7 Nov 2009   
ランダムな複素力学系における協調原理と複素平面上の特異関数
SUMI Hiroki
日本数学会秋季総合分科会   26 Sep 2009   
Random complex dynamics and singular functions on the complex plane [Invited]
SUMI Hiroki
Kyoto Dynamics Days 8,   12 Sep 2009   
Cooperation principle in random complex dynamics and singular functions on the complex plane
SUMI Hiroki
XXIst Rolf Nevanlinna Colloquium   10 Sep 2009   
Random complex dynamics and singular functions on the complex plane [Invited]
SUMI Hiroki
Advances in Low Dimensional Dynamics   10 Jun 2009   
Random complex dynamics and singular functions on the complex plane [Invited]
SUMI Hiroki
Dynamical Systems II   17 May 2009   
ランダムな複素力学系におけるカオスの消滅と複素平面上の特異関数 [Invited]
SUMI Hiroki
京都大学力学系セミナー   25 Apr 2009   
Random complex dynamics and singular functions on the complex plane [Invited]
SUMI Hiroki
UK-Japan Winter School Dynamics and Complexity   8 Jan 2009   
The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity
SUMI Hiroki
Moduli and invariants in complex analysis and algebraic geometry   27 Nov 2008   
Random complex dynamics and singular functions on the complex plane [Invited]
SUMI Hiroki
Complex dynamics and related topics,   1 Nov 2008   
Random complex dynamics and singular functions on the complex plane
SUMI Hiroki
Aspects of Transcendental Dynamics   18 Jun 2008   
Random complex dynamics and semigroups of holomorphic maps
SUMI Hiroki
007 年度冬の力学系研究集会   5 Jan 2008   
ランダムな複素力学系、有理半群と複素平面上の特異関数
SUMI Hiroki
力学系と微分方程式   9 Nov 2007   
Random Julia sets which are Jordan curves but not quasicircles
SUMI Hiroki
Colloquium in University of North Texas   21 Sep 2007   
Random complex dynamics and rational semigroups
SUMI Hiroki
複素力学系とその周辺分野の研究   Sep 2007   
Classication of polynomial semigroups and random Julia sets that are Jordan curves but not quasicircles 
SUMI Hiroki
15th International conference of nite and innite dimensional complex analysis and applications   Jul 2007   
Random dynamics of polynomials and singular functions in the complex plane
SUMI Hiroki
AMS meeting Special session Complex Dynamics and Complex Function Theory   16 Mar 2007   
The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity
SUMI Hiroki
Colloquium in University of North Texas   Feb 2007   
Random Julia sets that are Jordan curves but not quasicircles
SUMI Hiroki
力学系研究集会   6 Jan 2007   
Random Julia sets that are Jordan curves but not quasicircles
SUMI Hiroki
複素力学系とその周辺   Oct 2006   
有理半群、ランダムな複素力学系と複素平面上の特異関数 [Invited]
SUMI Hiroki
日本数学会 函数論分科会特別講演   20 Sep 2006   
「Random dynamics of polynomials and singular functions in the complex plane
SUMI Hiroki
Mathematics on Fractals 2006   Sep 2006   
Dynamics of polynomial semigroups, interaction cohomology and singular function in the complex plane [Invited]
SUMI Hiroki
第53回トポロジーシンポジウム   8 Aug 2006   
臨界値集合が有界な多項式半群の力学系と後方自己相似系の相互作用コホモロジー
SUMI Hiroki
日本数学会   Mar 2006   
The space of postcritically bounded 2-generator polynomial semigroups with hyperbolicity
SUMI Hiroki
複素力学系とその周辺分野の研究   25 Jan 2006   

Association Memberships

 
 

Research Grants & Projects

 
JSPS: JSPS Kakenhi Kibankenkyu (A) 18H03671
Project Year: Apr 2018 - Mar 2023    Investigator(s): Hiroshi Kokubu
JSPS: JSPS Kakenhi Kibankenkyu (C) 15K04899
Project Year: Apr 2015 - Mar 2018    Investigator(s): Hiroki Sumi
JSPS: JSPS Kakenhi Kiban Kenkyu (C) 24540211
Project Year: Apr 2012 - Mar 2015    Investigator(s): SUMI Hiroki
JSPS: JSPS Kakenhi Kibankenkyu (C) 21540216
Project Year: Apr 2009 - Mar 2012    Investigator(s): SUMI Hiroki
JSPS: JSPS Kakenhi Kibankenkyu (C) 18540216
Project Year: Apr 2006 - Mar 2009    Investigator(s): SUMI Hiroki
JSPS: Kakenhi Wakatekenkyu (B) 15740103
Project Year: Apr 2003 - Mar 2006    Investigator(s): SUMI Hiroki
JSPS: Kakenhi Wakatekenkyu (B) 13740112
Project Year: Apr 2001 - Mar 2003    Investigator(s): SUMI Hiroki
Dynamics of rational semigroups and fibered rational maps