Akira Shudo

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All published works
Action Title Year Authors
+ PDF Chat 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 Perron–Frobenius 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 Epidemics—A Tutorial for Students 2020 Yutaka Okabe
Akira Shudo
+ 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
+ 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 Jahn–Teller Rattling 2014 Takashi Hotta
Akira Shudo
+ PDF Chat Semiclassical Quantization and Periodic Orbits of Dispersing Billiards 2013 Takahisa Harayama
Akira Shudo
Yasushi Shimizu
+ 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
+ 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 (é‡ć­çł»ăŠă‚ˆăłăƒžă‚Żăƒ­çł»ă«ăŠă‘ă‚‹ă‚«ă‚Șă‚čăšéžç·šćœąć‹•ćŠ›ć­Š) 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
Kin’ya 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
Kin’ya 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
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
Kin’ya 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 Perron–Frobenius 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 Budiơić
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 Zinn‐Justin
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 Cvitanović
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
Kin’ya 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