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Negativity of Lyapunov Exponents and Convergence of Generic Random Polynomial Dynamical Systems and Random Relaxed Newton’s Methods

Communications in mathematical physics, 2021-06, Vol.384 (3), p.1513-1583

Sumi, Hiroki

2021

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The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics

Advances in mathematics (New York. 1965), 2016-02, Vol.290, p.809-859

Sumi, Hiroki

2016

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Cooperation principle, stability and bifurcation in random complex dynamics

Advances in mathematics (New York. 1965), 2013-10, Vol.245, p.137-181

Sumi, Hiroki

2013

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Spectral Gap Property for Random Dynamics on the Real Line and Multifractal Analysis of Generalised Takagi Functions

Communications in mathematical physics, 2020-07, Vol.377 (1), p.1-36

2020

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Random complex dynamics and semigroups of holomorphic maps

Proceedings of the London Mathematical Society, 2011-01, Vol.102 (1), p.50-112

Sumi, Hiroki

2011

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Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method

Transactions of the American Mathematical Society, 2017-09, Vol.369 (9), p.6147-6187

2017

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Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions

Journal of difference equations and applications, 2020-01, Vol.26 (1), p.104-121

2020

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Dynamics of postcritically bounded polynomial semigroups I: Connected components of the Julia sets

Discrete and continuous dynamical systems. Series A, 2011, Vol.29 (3), p.1205-1244

Sumi, Hiroki

2011

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Hereditarily non uniformly perfect non-autonomous Julia sets

Discrete and continuous dynamical systems. Series A, 2020, Vol.40 (1), p.33

2020

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Uniformly perfect and hereditarily non uniformly perfect analytic and conformal non-autonomous attractor sets

Dynamical systems (London, England), 2021-10, Vol.36 (4), p.631-655

2021

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Investigation of the sulfurization process of Cu2SnS3 thin films and estimation of band offsets of Cu2SnS3-related solar cell structure

Physica status solidi. C, 2015-06, Vol.12 (6), p.757-760

2015

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Random dynamics of polynomials and devil’s-staircase-like functions in the complex plane

Applied mathematics and computation, 2007-04, Vol.187 (1), p.489-500

Sumi, Hiroki

2007

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Random backward iteration algorithm for Julia sets of rational semigroups

Discrete and continuous dynamical systems. Series A, 2015-05, Vol.35 (5), p.2165-2175

2015

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Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups

Transactions of the American Mathematical Society, 2011-10, Vol.363 (10), p.5293-5319

2011

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Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions

Journal of difference equations and applications, 2024-08, p.1-16

2024

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Erratum: Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy (2022 Nonlinearity 35 1857)

Nonlinearity, 2023-05, Vol.36 (5), p.C1-C2

2023

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Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy

Nonlinearity, 2022-04, Vol.35 (4), p.1857-1875

2022

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Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line

Journal of mathematical analysis and applications, 2020-11, Vol.491 (2), p.124246, Article 124246

2020

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Random complex dynamics and devil's coliseums

Nonlinearity, 2015-04, Vol.28 (4), p.1135-1161

Sumi, Hiroki

2015

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Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity

Nonlinearity, 2019-10, Vol.32 (10), p.3742-3771

2019

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Pointwise Hölder exponents of the complex analogues of the Takagi function in random complex dynamics

Advances in mathematics (New York. 1965), 2017-06, Vol.313, p.839-874

2017

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Dimensions of Julia sets of expanding rational semigroups

Kodai mathematical journal, 2005, Vol.28 (2), p.390-422

Sumi, Hiroki

2005

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Random complex dynamics and semigroups of holomorphic maps

Proceedings of the London Mathematical Society, 2011-01, Vol.102 (1), p.50-112

Sumi, Hiroki

2011

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Real analyticity of Hausdorff dimension for expanding rational semigroups

Ergodic theory and dynamical systems, 2010-04, Vol.30 (2), p.601-633

2010

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Rational semigroups, random complex dynamics, and singular functions on the complex plane

SUGAKU, 2009, Vol.61(2), pp.133-161

Sumi, Hiroki

2009

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Negativity of Lyapunov Exponents and Convergence of Generic Random Polynomial Dynamical Systems and Random Relaxed Newton’s Methods

The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics

Cooperation principle, stability and bifurcation in random complex dynamics

Spectral Gap Property for Random Dynamics on the Real Line and Multifractal Analysis of Generalised Takagi Functions

Random complex dynamics and semigroups of holomorphic maps

Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method

Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions

Dynamics of postcritically bounded polynomial semigroups I: Connected components of the Julia sets

Hereditarily non uniformly perfect non-autonomous Julia sets

Uniformly perfect and hereditarily non uniformly perfect analytic and conformal non-autonomous attractor sets

Investigation of the sulfurization process of Cu2SnS3 thin films and estimation of band offsets of Cu2SnS3-related solar cell structure

Random dynamics of polynomials and devil’s-staircase-like functions in the complex plane

Random backward iteration algorithm for Julia sets of rational semigroups

Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups

Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions

Erratum: Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy (2022 Nonlinearity 35 1857)

Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy

Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line

Random complex dynamics and devil's coliseums

Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity

Pointwise Hölder exponents of the complex analogues of the Takagi function in random complex dynamics

Dimensions of Julia sets of expanding rational semigroups

Random complex dynamics and semigroups of holomorphic maps

Real analyticity of Hausdorff dimension for expanding rational semigroups

Rational semigroups, random complex dynamics, and singular functions on the complex plane

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