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Lista de obras de Dima L. Shepelyansky

100-photon microwave ionization of Rydberg atoms in a static electric field

A Solid-State Model for Photonic Localization in Molecular Quasi-Continua

A quantum transition from localized to extended states in a classically chaotic system

A theory of modulational diffusion

Adiabatic destruction of Anderson localization

artículo científico publicado en 1995

Algebraic Statistics of Poincaré Recurrences in a DNA Molecule ⬇️

artículo científico publicado en 2015

Analytical determination of stable configurations in doubly excited atoms and ions

Anderson Transition in a One-Dimensional System with Three Incommensurate Frequencies

scientific article published on 01 January 1989

Anderson transition for Google matrix eigenstates ⬇️

scholarly article by O. V. Zhirov & D. L. Shepelyansky published 16 March 2015 in Annalen der Physik

Applications of quantum chaos to realistic quantum computations and sound treatment on quantum computers

Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space

Benvenuto, Casati, and Shepelyansky Reply:

artículo científico publicado en 1995

Boris Valerianovich Chirikov

Breakdown of Universality in Renormalization Dynamics for Critical Invariant Torus

Breaking of Analyticity in 2 Coupled Frenkel-Kontorova Chains

Breit-Wigner Width and Inverse Participation Ratio in Finite Interacting Fermi Systems

Breit-Wigner Width for Two Interacting Particles in a One-Dimensional Random Potential

Capturing the influence of geopolitical ties from Wikipedia with reduced Google matrix

artículo científico publicado en 2018

Chaos and Interaction of Atoms with Self-Consistent Fields in the Case of Small Coupling Constants

artículo científico publicado en 1986

Chaos in a quasiclassical hadronic atom

artículo científico publicado en 1996

Chaotic Landau Level Mixing in Classical and Quantum Wells

artículo científico publicado en 1995

Chaotic and ballistic dynamics for two-dimensional electrons in periodic magnetic fields

article

Chaotic autoionization of molecular Rydberg states

artículo científico publicado en 1994

Chaotic dynamics of a Bose-Einstein condensate coupled to a qubit.

artículo científico publicado en 2009

Chaotic enhancement in microwave ionization of Rydberg atoms

scholarly article in European Physical Journal D, vol. 5 no. 3, February 1999

Chaotic enhancement of dark matter density in binary systems ⬇️

artículo científico publicado en 2015

Chaotic enhancement of hydrogen-atom excitation in magnetic and microwave fields

Chirikov and Shepelyansky Reply:

Classical chaos, quantum localization and fluctuations: A unified view

Classical stabilization of the hydrogen atom in a monochromatic field

artículo científico publicado en 1993

Coherent Propagation of Two Interacting Particles in a Random Potential

scientific article published on 01 November 1994

Collective intelligence defines biological functions in Wikipedia as communities in the hidden protein connection network

scientific article published on 18 February 2020

Compressibility crossover and quantum opening of a gap for two-dimensional disordered clusters with Coulomb repulsion

Confrontation of Capitalism and Socialism in Wikipedia Networks

artículo científico publicado en 2024

Cooling by Time Reversal of Atomic Matter Waves

scientific article published in Physical Review Letters

Cooper problem in the vicinity of the Anderson transition

scholarly article in Physical Review B, vol. 62 no. 13, October 2000

Correlation properties of dynamical chaos in Hamiltonian systems

Dark matter chaos in the Solar system

artículo científico publicado en 2013

Delocalization induced by nonlinearity in systems with disorder.

artículo científico publicado en 2009

Delocalization of quantum chaos by weak nonlinearity

artículo científico publicado en 1993

Delocalization of two interacting particles in the 2D Harper model ⬇️

article

Delocalization of two-particle ring near the Fermi level of 2d Anderson model

Delocalization transition for the Google matrix

artículo científico publicado en 2009

Delocalizing effect of the Hubbard repulsion for electrons on a two-dimensional disordered lattice

scholarly article in Physical Review B, vol. 67 no. 20, May 2003

Destruction of Anderson Localization by a Weak Nonlinearity

artículo científico publicado en 2008

Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions ⬇️

Destruction of classical cantori in the quantum Frenkel-Kontorova model

artículo científico publicado en 1990

Diffusion and localization for the Chirikov typical map

artículo científico publicado en 2009

Diffusion over localized adiabatic states in a modulated quantum kicked rotator

Directing transport by polarized radiation in the presence of chaos and dissipation

scholarly article in Physical Review B, vol. 71 no. 5, February 2005

Disorder and superconductivity: a new phase of bi-particle localized states

Dissipative Quantum Chaos: Transition from Wave Packet Collapse to Explosion

scientific article published in Physical Review Letters

Dissipative decoherence in the Grover algorithm

scholarly article in European Physical Journal D, vol. 38 no. 2, March 2006

Double Butterfly Spectrum for Two Interacting Particles in the Harper Model

artículo científico publicado en 1996

Dynamical Stability of Quantum "Chaotic" Motion in a Hydrogen Atom

scientific article published on 01 June 1986

Dynamical localization and repeated measurements in a quantum computation process.

artículo científico publicado en 2004

Dynamical localization in Josephson junctions

artículo científico publicado en 1991

Dynamical localization simulated on a few-qubit quantum computer

Dynamical localization: Hydrogen atoms in magnetic and microwave fields

Dynamical thermalization in Bose-Hubbard systems ⬇️

artículo científico publicado en 2016

Dynamical thermalization in isolated quantum dots and black holes ⬇️

artículo científico publicado en 2017

Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium ⬇️

Dynamical thermalization of disordered nonlinear lattices

artículo científico publicado en 2009

Dynamical turbulent flow on the Galton board with friction

scientific article published on 28 June 2001

Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap ⬇️

Early chaos theory

Ecological analysis of world trade

Effect of noise for two interacting particles in a random potential

Effects of imperfections for Shor’s factorization algorithm ⬇️

Efficient Quantum Computing of Complex Dynamics

artículo científico publicado en 2001

Eigenstates of an operating quantum computer: hypersensitivity to static imperfections

scholarly article in European Physical Journal D, vol. 20 no. 2, August 2002

Emergence of Fermi-Dirac thermalization in the quantum computer core

Emergence of Quantum Chaos in Finite Interacting Fermi Systems

Emergence of Quantum Ergodicity in Rough Billiards

Emergence of quantum chaos in the quantum computer core and how to manage it

artículo científico publicado en 2000

Enhancement of localization length for two interacting kicked rotators

Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos

Erratum: Effects of imperfections for Shor’s factorization algorithm [Phys. Rev. A75, 052311 (2007)]

scholarly article published in Physical Review A

Exponential gain in quantum computing of quantum chaos and localization

artículo científico publicado en 2001

Exponential photonic localization for the hydrogen atom in a monochromatic field

scientific article published on 01 October 1987

Fast delocalization in a model of quantum kicked rotator

article

Few interacting particles in a random potential

Fractal Weyl law for Linux Kernel architecture

Fractal Weyl law for quantum fractal eigenstates.

artículo científico publicado en 2008

Fractal spectrum and anomalous diffusion in the kicked Harper model

artículo científico publicado en 1992

Fractal spin glass properties of low energy configurations in the Frenkel-Kontorova chain

artículo científico publicado en 2002

Fractal structures for the Jacobi Hamiltonian of restricted three-body problem ⬇️

Freed by interaction kinetic states in the Harper model ⬇️

Frenkel-Kontorova model with cold trapped ions

scholarly article in European Physical Journal D, vol. 41 no. 2, September 2006

Geopolitical interactions from reduced Google matrix analysis of Wikipedia

artículo científico publicado en 2018

Georgeot and Shepelyansky Reply:

Google matrix analysis of C.elegans neural network

scholarly article by V. Kandiah & D.L. Shepelyansky published May 2014 in Physics Letters

Google matrix analysis of DNA sequences

artículo científico publicado en 2013

Google matrix analysis of directed networks ⬇️

scholarly article by Leonardo Ermann et al published 2 November 2015 in Reviews of Modern Physics

Google matrix analysis of the multiproduct world trade network ⬇️

scholarly article by Leonardo Ermann & Dima L. Shepelyansky published April 2015 in European Physical Journal B

Google matrix and Ulam networks of intermittency maps

artículo científico publicado en 2010

Google matrix of Twitter

scholarly article by K. M. Frahm & D. L. Shepelyansky published October 2012 in European Physical Journal B

Google matrix of business process management

scholarly article by M. W. Abel & D. L. Shepelyansky published 1 February 2011 in European Physical Journal B

Google matrix of the citation network of Physical Review

artículo científico publicado en 2014

Google matrix of the world network of economic activities ⬇️

scholarly article by Vivek Kandiah et al published July 2015 in European Physical Journal B

Google matrix, dynamical attractors, and Ulam networks

artículo científico publicado en 2010

Ground-state properties of the two-dimensional disordered Hubbard model

scholarly article in Physical Review B, vol. 62 no. 16, October 2000

Hidden Breit-Wigner Distribution and Other Properties of Random Matrices with Preferential Basis

artículo científico publicado en 1995

Highlighting entanglement of cultures via ranking of multilingual Wikipedia articles

artículo científico publicado en 2013

Hydrogen atom in monochromatic field: chaos and dynamical photonic localization

Imperfection effects for multiple applications of the quantum wavelet transform.

artículo científico publicado en 2003

Importance and Interactions of World Universities from 24 Wikipedia Editions

artículo científico publicado en 2018

Incommensurate standard map

scientific article published on 01 January 2019

Inferring hidden causal relations between pathway members using reduced Google matrix of directed biological networks

artículo científico publicado en 2018

Integrability and Quantum Chaos in Spin Glass Shards

Interactions and Influence of World Painters From the Reduced Google Matrix of Wikipedia Networks

artículo científico publicado en 2018

Interactions of cultures and top people of Wikipedia from ranking of 24 language editions ⬇️

artículo científico publicado en 2015

Interactions of pharmaceutical companies with world countries, cancers and rare diseases from Wikipedia network analysis

scientific article published on 04 December 2019

Interdependence of Sectors of Economic Activities for World Countries from the Reduced Google Matrix Analysis of WTO Data

artículo científico publicado en 2020

Kolmogorov Turbulence Defeated by Anderson Localization for a Bose-Einstein Condensate in a Sinai-Oscillator Trap

artículo científico publicado en 2017

Kolmogorov turbulence, Anderson localization and KAM integrability

Kramers-map approach for stabilization of a hydrogen atom in a monochromatic field

artículo científico publicado en 1994

Localization and level statistics in a one-dimensional solid state model with periodically modulated potential

Localization of diffusive excitation in multi-level systems

Localization of diffusive excitation in the two-dimensional hydrogen atom in a monochromatic field.

artículo científico publicado en 1987

Localization of quasienergy eigenfunctions in action space

artículo científico publicado en 1986

Low-energy chaos in the Fermi - Pasta - Ulam problem

Low-energy transition in spectral statistics of two-dimensional interacting fermions

scholarly article in Physical Review B, vol. 61 no. 23, June 2000

Magnetic field effect for two electrons in a two-dimensional random potential

scholarly article in Physical Review B, vol. 63 no. 23, May 2001

Magnetization of ballistic quantum dots induced by a linear-polarized microwave field

Manifestation of Localization in Noise-Induced Ionization and Dissociation

Manifestations of classical and quantum chaos in nonlinear wave propagation

artículo científico publicado en 1991

Microwave control of transport through a chaotic mesoscopic dot

Microwave stabilization of edge transport and zero-resistance states

scholarly article in Physical Review B, vol. 80 no. 24, December 2009

Model of a deterministic detector and dynamical decoherence

Multi-cultural Wikipedia mining of geopolitics interactions leveraging reduced Google matrix analysis

artículo científico publicado en 2016

New Photoelectric Ionization Peak in the Hydrogen Atom

artículo científico publicado en 1986

Nonequilibrium stationary states with ratchet effect

artículo científico publicado en 2005

Nonlinear delocalization on disordered Stark ladder

Opinion formation driven by PageRank node influence on directed networks ⬇️

PageRank model of opinion formation on Ulam networks

article

PageRank model of opinion formation on social networks

article

PageRank of integers

Particle propagation in a random and quasi-periodic potential

Phase diagram for the Grover algorithm with static imperfections

scholarly article in European Physical Journal D, vol. 31 no. 1, October 2004

Photogalvanic current in artificial asymmetric nanostructures

Poincaré recurrences and Ulam method for the Chirikov standard map

Poincaré recurrences in Hamiltonian systems with a few degrees of freedom ⬇️

artículo científico publicado el 22 de noviembre de 2010

Poincaré recurrences of DNA sequences ⬇️

artículo científico publicado el 27 de enero de 2012

Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks ⬇️

scholarly article by Klaus M. Frahm & Dima L. Shepelyansky published April 2014 in European Physical Journal B

Quantum Chaos and Quantum Computers

Quantum Evolution in a Dynamical Quasi-Crystal

Quantum Gibbs distribution from dynamical thermalization in classical nonlinear lattices

Quantum Limitations for Chaotic Excitation of the Hydrogen Atom in a Monochromatic Field

Quantum Localization in Rough Billiards

Quantum Poincaré Recurrences

Quantum Poincaré Recurrences for a Hydrogen Atom in a Microwave Field

artículo científico publicado en 2000

Quantum Ratchets in Dissipative Chaotic Systems

artículo científico publicado en 2005

Quantum chaos algorithms and dissipative decoherence with quantum trajectories

artículo científico publicado en 2005

Quantum chaos and random matrix theory for fidelity decay in quantum computations with static imperfections

scholarly article in European Physical Journal D, vol. 29 no. 1, April 2004

Quantum chaos border for quantum computing ⬇️

artículo científico publicado en 2000

Quantum chaos: Localization vs. ergodicity

Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment.

artículo científico publicado en 2005

Quantum computation of the Anderson transition in the presence of imperfections

scholarly article by A. A. Pomeransky & D. L. Shepelyansky published 12 January 2004 in Physical Review A

Quantum computer inverting time arrow for macroscopic systems

scholarly article in European Physical Journal D, vol. 19 no. 2, May 2002

Quantum computing of delocalization in small-world networks.

artículo científico publicado en 2005

Quantum computing of quantum chaos and imperfection effects.

artículo científico publicado en 2001

Quantum computing of quantum chaos in the kicked rotator model

artículo científico publicado en 2003

Quantum effects in the Frenkel-Kontorova model

artículo científico publicado en 1989

Quantum ergodicity for electrons in two dimensions

Quantum error correction of coherent errors by randomization

scholarly article in European Physical Journal D, vol. 32 no. 1, January 2005

Quantum fractal eigenstates

Quantum localization, chaos and nonlinear interactions

Quantum phase estimation algorithm in presence of static imperfections

scholarly article in European Physical Journal D, vol. 47 no. 1, March 2008

Quantum phase transition in the Frenkel-Kontorova chain: From pinned instanton glass to sliding phonon gas

scientific article published on 19 May 2003

Quantum synchronization

scholarly article in European Physical Journal D, vol. 38 no. 2, January 2006

Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator

scholarly article in Physical Review B, vol. 80 no. 1, July 2009

Quantum vacuum of strongly nonlinear lattices ⬇️

artículo científico publicado el 3 de enero de 2011

Ratchet transport of interacting particles

artículo científico publicado en 2008

Regular and anomalous quantum diffusion in the Fibonacci kicked rotator

artículo científico publicado en 2001

Relativistic graphene ratchet on semidisk Galton board

Renormalization Chaos and Motion Statistical Properties

artículo científico publicado en 1988

Repulsive trap for two electrons in a magnetic field

scholarly article in Physical Review B, vol. 63 no. 16, April 2001

Rydberg stabilization of atoms in strong fields: the ?magic mountain? in the chaotic sea

Shnirelman Peak in Level Spacing Statistics

scientific article published on 01 January 1995

Shor’s factorization algorithm with a single control qubit and imperfections

Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers

article published in 2002

Some statistical properties of simple classically stochastic quantum systems

article by D.L. Shepelyansky published July 1983 in Physica D

Spectral Variety in the Kicked Harper Model

article

Spectral properties of Google matrix of Wikipedia and other networks

artículo científico publicado en 2013

Spectral properties of the Google matrix of the World Wide Web and other directed networks

artículo científico publicado en 2010

Spin-Polarized Ground State for Interacting Electrons in Two Dimensions

artículo científico publicado en 2001

Stability of Rydberg atoms in a strong laser field

artículo científico publicado en 1992

Stable quantum computation of unstable classical chaos

artículo científico publicado en 2001

Statistical analysis of Nomao customer votes for spots of France ⬇️

article

Statistical properties of eigenvalues for an operating quantum computer with static imperfections

scholarly article in European Physical Journal D, vol. 22 no. 2, February 2003

Statistics of quantum lifetimes in a classically chaotic system

scientific article published on 01 April 1991

Strange attractor simulated on a quantum computer

scholarly article in European Physical Journal D, vol. 22 no. 1, January 2003

Strong and Weak Chaos in Weakly Nonintegrable Many-Body Hamiltonian Systems

Superinsulator as a phase of bi-particle localized states

Suppression of quantum chaos in a quantum computer hardware

artículo científico publicado en 2006

Symmetry breaking for ratchet transport in the presence of interactions and a magnetic field.

artículo científico publicado en 2013

Synchronization and Bistability of a Qubit Coupled to a Driven Dissipative Oscillator

scientific article published on 09 January 2008

Synchronization mechanism of sharp edges in rings of Saturn

scholarly article

Synchronization, zero-resistance states and rotating Wigner crystal

The Arnold cat map, the Ulam method and time reversal

The Kicked Rotator as a Limit of the Kicked Top

Theory of photogalvanic effect in asymmetric nanostructure arrays

Theory of resonant photon drag in monolayer graphene

scholarly article in Physical Review B, vol. 81 no. 16, April 2010

Thermoelectricity of Wigner crystal in a periodic potential

Three-dimensional Anderson transition for two electrons in two dimensions

scholarly article in Physical Review B, vol. 61 no. 7, February 2000

Time evolution of Wikipedia network ranking

artículo científico publicado en 2013

Time reversal of Bose-Einstein condensates.

artículo científico publicado en 2008

Toward two-dimensional search engines

Towards Google matrix of brain

scholarly article by D.L. Shepelyansky & O.V. Zhirov published July 2010 in Physics Letters

Towards a synchronization theory of microwave-induced zero-resistance states

scholarly article in Physical Review B, vol. 88 no. 3, July 2013

Transition to an insulating phase induced by attractive interactions in the disordered three-dimensional Hubbard model

scholarly article in Physical Review B, vol. 66 no. 17, November 2002

Two Interacting Quasiparticles Above the Fermi Sea

Two interacting Hofstadter butterflies

article by Armelle Barelli et al published 15 April 1997 in Physical Review B

Two interacting particles in the Harper model

artículo científico publicado en 1996

Two-dimensional ranking of Wikipedia articles

artículo científico publicado en 2010

Ulam method and fractal Weyl law for Perron-Frobenius operators

Ulam method for the Chirikov standard map

article by K. M. Frahm & D. L. Shepelyansky published 24 June 2010 in European Physical Journal B

Universal Diffusion near the Golden Chaos Border

scientific article published on 01 April 1996

Universal emergence of PageRank

What is the central bank of Wikipedia? ⬇️

artículo científico publicado en 2019

Wigner crystal in snaked nanochannels

Wigner crystal in snaked nanochannels: Outlook

Wikipedia mining of hidden links between political leaders ⬇️

scholarly article by Klaus M. Frahm et al published December 2016 in European Physical Journal B

Wikipedia network analysis of cancer interactions and world influence

scientific article published on 19 September 2019

Wikipedia ranking of world universities ⬇️

scholarly article by José Lages et al published March 2016 in European Physical Journal B

World Influence of Infectious Diseases From Wikipedia Network Analysis

artículo científico publicado en 2019

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