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Akira Shudo
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All published works
Action
Title
Year
Authors
+
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Classical transport in a maximally chaotic chain
2024
William Alderson
R. Dubertrand
Akira Shudo
+
On complex dynamics in a Suris's integrable map
2024
Yasutaka Hanada
Akira Shudo
+
PDF
Chat
On complex dynamics in a Suris's integrable map
2024
Yasutaka Hanada
Akira Shudo
+
PDF
Chat
Dynamical tunneling across the separatrix
2023
Yasutaka Hanada
Kensuke S. Ikeda
Akira Shudo
+
PDF
Chat
Escape-rate response to noise of all amplitudes in leaky chaos
2023
Makoto Ohshika
Domenico Lippolis
Akira Shudo
+
PDF
Chat
Uniform hyperbolicity of a class of scattering maps
2023
Hajime Yoshino
Normann Mertig
Akira Shudo
+
PDF
Chat
Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise
2023
Domenico Lippolis
Akira Shudo
+
Towards the resolution of a quantized chaotic phase space: The interplay of dynamics with noise
2023
Domenico Lippolis
Akira Shudo
+
Escape-rate response to noise of all amplitudes in leaky chaos
2023
Makoto Ohshika
Domenico Lippolis
Akira Shudo
+
Coupled HĂ©non Map, Part I: Topological Horseshoes and Uniform Hyperbolicity
2023
Keisuke Fujioka
Ryota Kogawa
Jizhou Li
Akira Shudo
+
Coupled HĂ©non Map, Part II: Doubly and Singly Folded Horseshoes in Four Dimensions
2023
Jizhou Li
Keisuke Fujioka
Akira Shudo
+
PDF
Chat
Escape-Rate Response to Noise of All Amplitudes in Leaky Chaos
2023
Makoto Ohshika
Domenico Lippolis
Akira Shudo
+
Uniform hyperbolicity of a class of scattering maps
2023
Hajime Yoshino
Normann Mertig
Akira Shudo
+
Sublinear diffusion in the generalized triangle map
2022
K. Yoshida
Giulio Casati
Shingo Watanabe
Akira Shudo
+
PDF
Chat
Spread of variants of epidemic disease based on the microscopic numerical simulations on networks
2022
Yutaka Okabe
Akira Shudo
+
PDF
Chat
Eigenfunctions of the PerronâFrobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps
2021
K. Yoshida
Hajime Yoshino
Akira Shudo
Domenico Lippolis
+
PDF
Chat
Scarring in classical chaotic dynamics with noise
2021
Domenico Lippolis
Akira Shudo
K. Yoshida
Hajime Yoshino
+
PDF
Chat
Microscopic Numerical Simulations of Epidemic Models on Networks
2021
Yutaka Okabe
Akira Shudo
+
PDF
Chat
A Mathematical Model of EpidemicsâA Tutorial for Students
2020
Yutaka Okabe
Akira Shudo
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PDF
Chat
Uniform Hyperbolicity of a Scattering Map with Lorentzian Potential
2019
Hajime Yoshino
Ryota Kogawa
Akira Shudo
+
PDF
Chat
Open quantum maps from complex scaling of kicked scattering systems
2018
Normann Mertig
Akira Shudo
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PDF
Chat
Riemann surfaces of complex classical trajectories and tunnelling splitting in one-dimensional systems
2017
Hiromitsu Harada
Amaury Mouchet
Akira Shudo
+
PDF
Chat
Origin of the enhancement of tunneling probability in the nearly integrable system
2015
Yasutaka Hanada
Akira Shudo
Kensuke S. Ikeda
+
PDF
Chat
Instanton-noninstanton transition in nonintegrable tunneling processes: A renormalized perturbation approach
2014
Akira Shudo
Yasutaka Hanada
Teruaki Okushima
Kensuke S. Ikeda
+
The Stokes geometry of the quantum Henon map in the horseshoe regime : Dedicated to Professor Takashi Aoki on the occasion of his 60th birthday (Exponential Analysis of Differential Equations and Related Topics)
2014
Akira Shudo
+
PDF
Chat
Chaos in JahnâTeller Rattling
2014
Takashi Hotta
Akira Shudo
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PDF
Chat
Semiclassical Quantization and Periodic Orbits of Dispersing Billiards
2013
Takahisa Harayama
Akira Shudo
Yasushi Shimizu
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PDF
Chat
Complex paths for regular-to-chaotic tunnelling rates
2013
Normann Mertig
Steffen Löck
Arnd BĂ€cker
Roland Ketzmerick
Akira Shudo
+
PDF
Chat
Weyl law for open systems with sharply divided mixed phase space
2012
Akihiro Ishii
Akira Akaishi
Akira Shudo
Henning Schomerus
+
Boundary element method and isospectrality in quantum billiards(Perspectives of Nonequilibrium Statistical Physics-The Memory of Professor Shuichi Tasaki-)
2011
Takahisa Harayama
Akira Shudo
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PDF
Chat
Meeting time distributions in Bernoulli systems
2011
Akira Akaishi
M. Hirata
Kenshi Yamamoto
Akira Shudo
+
26pTE-5 Fractal Weyl laws for open quantum mixed system
2010
Akihiro Ishii
Akira Shudo
Akiyuki Ishikawa
+
PDF
Chat
Dynamical Tunneling in Many-Dimensional Chaotic Systems
2010
Akiyuki Ishikawa
Atushi Tanaka
Akira Shudo
+
Accumulation of unstable periodic orbits and the stickiness in the two-dimensional piecewise linear map
2009
Akira Akaishi
Akira Shudo
+
PDF
Chat
Recovery of chaotic tunneling due to destruction of dynamical localization by external noise
2009
Akiyuki Ishikawa
Atushi Tanaka
Akira Shudo
+
Julia sets and chaotic tunneling: II
2009
Akira Shudo
Yutaka Ishii
Kensuke S. Ikeda
+
Julia sets and chaotic tunneling: I
2009
Akira Shudo
Yutaka Ishii
Kensuke S. Ikeda
+
A role of virtual turning points and new Stokes curves in Stokes geometry of the quantum HĂ©non map
2009
Akira Shudo
+
Algebraic Correlations of Hard Spheres in a Rectangular Box
2008
Akira Akaishi
Akira Shudo
Michio Tokuyama
Irwin Oppenheim
Hideya Nishiyama
+
Unstable Periodic Orbits Accumulating to the Boundary between Torus and Chaos in Sharply Divided Phase Space
2008
Akira Akaishi
Akira Shudo
Marko Robnik
Valery G. Romanovski
+
PDF
Chat
Quantum suppression of chaotic tunnelling
2007
Akiyuki Ishikawa
Atushi Tanaka
Akira Shudo
+
Complex dynamics and quantum tunneling in the presence of chaos(New Trends and Applications of Complex Asymptotic Analysis : around dynamical systems, summability, continued fractions)
2006
Akira Shudo
+
On the boundary element method for billiards with corners
2005
Yuichiro Okada
Akira Shudo
S. Tasaki
Takahisa Harayama
+
Stokes geometry for the quantized Henon map (éćçł»ăăăłăăŻăçł»ă«ăăăă«ăȘăčăšéç·ćœąćććŠ)
2005
Akira Shudo
+
Stokes geometry for the quantized Henon map in the horseshoe regime (Microlocal Analysis and Related Topics)
2005
Akira Shudo
+
Stokes geometry for the quantized Henon map (Recent Trends in Exponential Asymptotics)
2005
Akira Shudo
+
A background story and some know-how of virtual turning points (Recent Trends in Exponential Asymptotics)
2005
Takashi Aoki
Takahiro Kawai
Tatsuya Koike
Shunsuke Sasaki
Akira Shudo
Yoshitsugu Takei
+
PDF
Chat
Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations
2005
Takashi Aoki
Takahiro Kawai
Shunsuke Sasaki
Akira Shudo
Yoshitsugu Takei
+
Grammatical complexity for two-dimensional maps
2004
Ryouichi Hagiwara
Akira Shudo
+
An algorithm to prune the area-preserving HĂ©non map
2004
Ryouichi Hagiwara
Akira Shudo
+
PDF
Chat
Nambu-Hamiltonian Flows Associated with Discrete Maps
2004
Satoru Saito
Akira Shudo
Junichi Yamamoto
Katsuhiko Yoshida
+
PDF
Chat
Semiclassical study on tunneling processes via complex-domain chaos
2003
Tatsuya Onishi
Akira Shudo
Kensuke S. Ikeda
Kinâya Takahashi
+
PDF
Chat
Quantum Chaos in Mixed Phase Space and the Julia Set
2003
Akira Shudo
Kensuke S. Ikeda
+
PDF
Chat
Hamiltonian flow associated with a two-dimensional map
2002
Satoru Saito
Akira Shudo
Junichi Yamamoto
Katsuhiko Yoshida
+
PDF
Chat
Julia set describes quantum tunnelling in the presence of chaos
2002
Akira Shudo
Yutaka Ishii
Kensuke S. Ikeda
+
Hamiltonian Flows Associated with Discrete Maps
2001
Satoru Saito
Akira Shudo
Junichi Yamamoto
Katsuhiko Yoshida
+
PDF
Chat
Equivalence between isospectrality and isolength spectrality for a certain class of planar billiard domains
2001
Yuichiro Okada
Akira Shudo
+
PDF
Chat
Tunneling mechanism due to chaos in a complex phase space
2001
Tatsuya Onishi
Akira Shudo
Kensuke S. Ikeda
Kinâya Takahashi
+
Markov shifts of finite type for the Henon map with hyperbolicity
2001
Rento Hagiwara
Akira Shudo
+
PDF
Chat
An origin of slow relaxation of the system with internal degrees of freedom and the perturbation theory in Hamiltonian systems
2001
Akira Shudo
+
Equivalence between isospectrality and iso-length spectrality of a certain class of planar billiard domains
2001
Yuichiro Okada
Akira Shudo
+
PDF
Chat
Complex Trajectory Description for Chaotic Tunneling
2000
Akira Shudo
Kensuke S. Ikeda
+
Semiclassical Fredholm determinant for strongly chaotic billiards
1999
Takahisa Harayama
Akira Shudo
Shuichi Tasaki
+
Statistical Properties of Eigenfunctions for Quantum Billiards with and without Positive Lyapunov Exponent (Quantum and Chaos--How Incompatible?(Proceedings of the 5th Yukawa International Seminar))
1994
Yasushi Shimizu
Akira Shudo
+
Statistical Properties of Eigenfunctions for Quantum Billiards with and without Positive Lyapunov Exponent
1994
Yasushi Shimizu
Akira Shudo
+
PDF
Chat
On a Random System Which Reveals Anomalous Localization of Wave Functions
1991
Y. Aizawa
Akira Shudo
Kaoru Kurumi
Masaki GĂŽda
Hiroaki Yamada
Common Coauthors
Coauthor
Papers Together
Kensuke S. Ikeda
10
Domenico Lippolis
7
Hajime Yoshino
5
Akira Akaishi
5
Yasutaka Hanada
5
Takahisa Harayama
4
Akiyuki Ishikawa
4
Normann Mertig
4
Yutaka Ishii
3
Yuichiro Okada
3
Junichi Yamamoto
3
K. Yoshida
3
Katsuhiko Yoshida
3
Makoto Ohshika
3
Satoru Saito
3
Atushi Tanaka
3
Yasushi Shimizu
3
Yutaka Okabe
3
Ryota Kogawa
2
Akihiro Ishii
2
Takashi Aoki
2
Kinâya Takahashi
2
Takahiro Kawai
2
Ryouichi Hagiwara
2
Tatsuya Onishi
2
Keisuke Fujioka
2
Yoshitsugu Takei
2
Jizhou Li
2
Roland Ketzmerick
1
William Alderson
1
R. Dubertrand
1
Arnd BĂ€cker
1
Henning Schomerus
1
Hiroaki Yamada
1
Masaki GĂŽda
1
Giulio Casati
1
Steffen Löck
1
Valery G. Romanovski
1
Shingo Watanabe
1
Kaoru Kurumi
1
Marko Robnik
1
Hideya Nishiyama
1
Hiromitsu Harada
1
Teruaki Okushima
1
Takashi Hotta
1
Kenshi Yamamoto
1
Shunsuke Sasaki
1
Amaury Mouchet
1
Shunsuke Sasaki
1
Michio Tokuyama
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Resonance-Assisted Tunneling in Near-Integrable Systems
2001
Olivier Brodier
Peter Schlagheck
Denis Ullmo
11
+
PDF
Chat
Julia set describes quantum tunnelling in the presence of chaos
2002
Akira Shudo
Yutaka Ishii
Kensuke S. Ikeda
8
+
PDF
Chat
Complex Periodic Orbits and Tunneling in Chaotic Potentials
1996
Stephen C. Creagh
Niall D. Whelan
8
+
Julia sets and chaotic tunneling: II
2009
Akira Shudo
Yutaka Ishii
Kensuke S. Ikeda
8
+
PDF
Chat
Resonance-Assisted Tunneling
2002
Olivier Brodier
Peter Schlagheck
Denis Ullmo
7
+
PDF
Chat
Tunneling mechanism due to chaos in a complex phase space
2001
Tatsuya Onishi
Akira Shudo
Kensuke S. Ikeda
Kinâya Takahashi
7
+
PDF
Chat
Dynamical properties of plane polynomial automorphisms
1989
Shmuel Friedland
John Milnor
7
+
PDF
Chat
Leaking chaotic systems
2013
Eduardo G. Altmann
Jefferson S. E. Portela
TamĂĄs TĂ©l
6
+
PDF
Chat
A two-dimensional mapping with a strange attractor
1976
M. HĂ©non
6
+
Quantization of Anosov Maps
1995
M.B. Dematos
A.M.O. Dealmeida
6
+
PDF
Chat
Semiclassical Description of Tunneling in Mixed Systems: Case of the Annular Billiard
1995
E. Doron
Steffen D. Frischat
6
+
Julia sets and chaotic tunneling: I
2009
Akira Shudo
Yutaka Ishii
Kensuke S. Ikeda
6
+
Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits
1984
Eric J. Heller
5
+
PDF
Chat
Ruelle Perron Frobenius spectrum for Anosov maps
2002
Michael Blank
Gerhard Keller
Carlangelo Liverani
5
+
PDF
Chat
Real polynomial diffeomorphisms with maximal entropy: Tangencies
2004
Eric Bedford
John Smillie
5
+
PDF
Chat
Chaos-assisted tunneling with cold atoms
2001
Anne Mouchet
Christian Miniatura
Robin Kaiser
Benoßt Grémaud
Dominique Delande
5
+
On Decay of Correlations in Anosov Flows
1998
Dmitry Dolgopyat
4
+
Geometric bounds on the density of resonances for semiclassical problems
1990
Johannes Sjöstrand
4
+
Shift automorphisms in the Hïżœnon mapping
1979
Robert L. Devaney
Zbigniew Nitecki
4
+
PDF
Chat
Flooding of Chaotic Eigenstates into Regular Phase Space Islands
2005
Arnd BĂ€cker
Roland Ketzmerick
Alejandro Monastra
4
+
PDF
Chat
Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime
2010
Steffen Löck
Arnd BĂ€cker
Roland Ketzmerick
Peter Schlagheck
4
+
PDF
Chat
First Experimental Evidence for Chaos-Assisted Tunneling in a Microwave Annular Billiard
2000
C. Dembowski
H.-D. GrÀf
A. Heine
Ralph Hofferbert
H. Rehfeld
A. Richter
4
+
PDF
Chat
Eigenfunctions of the PerronâFrobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps
2021
K. Yoshida
Hajime Yoshino
Akira Shudo
Domenico Lippolis
4
+
PDF
Chat
Frontiers of chaotic advection
2017
Hassan Aref
John Blake
Marko BudiĆĄiÄ
Silvana S. S. Cardoso
Julyan H. E. Cartwright
H. J. H. Clercx
Kamal El Omari
Ulrike Feudel
Ramin Golestanian
Emmanuelle Gouillart
4
+
PDF
Chat
Scarring in classical chaotic dynamics with noise
2021
Domenico Lippolis
Akira Shudo
K. Yoshida
Hajime Yoshino
4
+
PDF
Chat
Eigenstates Ignoring Regular and Chaotic Phase-Space Structures
2002
Lars Hufnagel
Roland Ketzmerick
Marc-Felix Otto
Holger Schanz
4
+
Fair dice-like hyperbolic systems
2012
Leonid Bunimovich
4
+
Polynomial diffeomorphisms ofC 2
1992
Eric Bedford
John Smillie
4
+
PDF
Chat
Instantons re-examined: Dynamical tunneling and resonant tunneling
2010
Jérémy Le Deunff
Amaury Mouchet
4
+
PDF
Chat
Rare Events, Escape Rates and Quasistationarity: Some Exact Formulae
2009
Gerhard Keller
Carlangelo Liverani
4
+
Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyperbolicity
1991
Eric Bedford
John Smillie
4
+
PDF
Chat
Where to place a hole to achieve a maximal escape rate
2011
Leonid Bunimovich
Alex Yurchenko
4
+
PDF
Chat
Chaotic diffusion on periodic orbits: The perturbed Arnold cat map
2003
Itzhack Dana
V. E. Chernov
4
+
Instantons in quantum mechanics: Numerical evidence for a conjecture
1984
Jean ZinnâJustin
4
+
Introduction to the modern theory of dynamical systems
1996
Anatole Katok
Boris Hasselblatt
4
+
PDF
Chat
Direct regular-to-chaotic tunneling rates using the fictitious-integrable-system approach
2010
Arnd BĂ€cker
Roland Ketzmerick
Steffen Löck
4
+
Topological and metric properties of HĂ©non-type strange attractors
1988
Predrag CvitanoviÄ
Gemunu H. Gunaratne
Itamar Procaccia
4
+
PDF
Chat
Algebraic Analysis of Singular Perturbation Theory
2005
Takahiro Kawai
Yoshitsugu Takei
4
+
PDF
Chat
A model problem with the coexistence of stochastic and integrable behaviour
1981
Maciej P. Wojtkowski
3
+
PDF
Chat
Transmission and reflection in the stadium billiard: Time-dependent asymmetric transport
2011
Carl P. Dettmann
Orestis Georgiou
3
+
Bursts in average lifetime of transients for chaotic logistic map with a hole
1997
V. Paar
Nenad Pavin
3
+
On the complex analytic structure of the golden invariant curve for the standard map
1990
Alberto Berretti
Luigi Chierchia
3
+
PDF
Chat
Resonance- and Chaos-Assisted Tunneling in Mixed Regular-Chaotic Systems
2005
Christopher Eltschka
Peter Schlagheck
3
+
PDF
Chat
Long-time correlations in the stochastic regime
1983
Charles F. F. Karney
3
+
PDF
Chat
Semiclassical study on tunneling processes via complex-domain chaos
2003
Tatsuya Onishi
Akira Shudo
Kensuke S. Ikeda
Kinâya Takahashi
3
+
PDF
Chat
On contact Anosov flows
2004
Carlangelo Liverani
3
+
The estimation of the basic reproduction number for infectious diseases
1993
Klaus Dietz
3
+
PDF
Chat
Stochastic perturbations in open chaotic systems: Random versus noisy maps
2013
TamĂĄs BĂłdai
Eduardo G. Altmann
AntĂŽnio Endler
3
+
Iteration of Rational Functions
1991
Robert L. Devaney
Alan F. Beardon
3
+
Markov shifts in the HĂ©non family
1991
Michael J. Davis
Robert S. MacKay
Atsuro Sannami
3