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Linear response theory for Google matrix

Klaus M. Frahm , Dima Shepelyansky
2019
Pré-publication, Document de travail hal-02270582v1

Electron pairing by Coulomb repulsion in narrow band structures

Klaus M. Frahm , Dima Shepelyansky
Physical Review Research, 2020, 2 (2), pp.023354. ⟨10.1103/PhysRevResearch.2.023354⟩
Article dans une revue hal-02482347v1
Image document

Brownian Motion Ensembles and Parametric Correlations of the Transmission Eigenvalues: Application to Coupled Quantum Billiards and to Disordered Wires

Klaus M. Frahm , Jean-Louis Pichard
Journal de Physique I, 1995, 5 (7), pp.877-906. ⟨10.1051/jp1:1995111⟩
Article dans une revue jpa-00247108v1

Cooper approach to pair formation in a tight-binding model of La-based cuprate superconductors

Klaus M. Frahm , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2022, 95 (11), pp.187. ⟨10.1140/epjb/s10051-022-00451-5⟩
Article dans une revue hal-03878795v1

Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks

Klaus M. Frahm , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2014, 87, pp.93. ⟨10.1140/epjb/e2014-50123-4⟩
Article dans une revue hal-00959831v1

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

Ignacio Garcia-Mata , Klaus M. Frahm , Dima Shepelyansky
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2008, 78 (6), pp.062323. ⟨10.1103/PhysRevA.78.062323⟩
Article dans une revue hal-00325048v1

Chaotic Einstein-Podolsky-Rosen pairs, measurements and time reversal

Klaus M. Frahm , Dima Shepelyansky
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2021, 75, pp.277. ⟨10.1140/epjd/s10053-021-00274-6⟩
Article dans une revue hal-03252947v1

Nonlinear perturbation of Random Matrix Theory

Klaus M. Frahm , Dima Shepelyansky
Physical Review Letters, 2023, 131 (7), pp.077201. ⟨10.1103/PhysRevLett.131.077201⟩
Article dans une revue hal-03911596v1

Google matrix of Twitter

Klaus M. Frahm , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2012, 85, pp.355. ⟨10.1140/epjb/e2012-30599-6⟩
Article dans une revue hal-00718415v1

Freed by interaction kinetic states in the Harper model

Klaus M. Frahm , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2015, 88 (337), ⟨10.1140/epjb/e2015-60733-9⟩
Article dans une revue hal-01196586v1

Diffusion and localization for the Chirikov typical map

Klaus M. Frahm , Dima Shepelyansky
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 80 (1), pp.016210. ⟨10.1103/PhysRevE.80.016210⟩
Article dans une revue hal-00383744v1

Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole

Klaus M. Frahm , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2018, 91, pp.257. ⟨10.1140/epjb/e2018-90296-0⟩
Article dans une revue hal-01782656v1

Universal Emergence of PageRank

Klaus M. Frahm , Bertrand Georgeot , Dima Shepelyansky
Journal of Physics A: Mathematical and Theoretical, 2011, 44, pp.465101. ⟨10.1088/1751-8113/44/46/465101⟩
Article dans une revue hal-00591045v1
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Google matrix analysis of bi-functional SIGNOR network of protein-protein interactions

Klaus M. Frahm , Dima Shepelyansky
Physica A: Statistical Mechanics and its Applications, 2020, 559, pp.125019. ⟨10.1016/j.physa.2020.125019⟩
Article dans une revue hal-02297365v1
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Analyse des interactions géopolitiques par la matrice de Google réduite

Samer El Zant , Klaus M. Frahm , Katia Jaffrès-Runser , Dima Shepelyansky
ALGOTEL 2017 - 19èmes Rencontres Francophones sur les Aspects Algorithmiques des Télécommunications, May 2017, Quiberon, France
Communication dans un congrès hal-01517092v1
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Magnetoconductance of Ballistic Chaotic Quantum Dots: A Brownian Motion Approach For the S-Matrix

Klaus M. Frahm , Jean-Louis Pichard
Journal de Physique I, 1995, 5 (7), pp.847-876. ⟨10.1051/jp1:1995171⟩
Article dans une revue jpa-00247107v1
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Statistical properties of the MetaCore network of protein-protein interactions

Ekaterina Kotelnikova , Klaus M. Frahm , José Lages , Dima Shepelyansky
Applied Network Science, 2022, 7 (1), pp.7. ⟨10.1007/s41109-022-00444-4⟩
Article dans une revue hal-03190065v1

Interactions and influence of world painters from the reduced Google matrix of Wikipedia networks

Samer El Zant , Katia Jaffrès-Runser , Klaus M. Frahm , Dima Shepelyansky
Article dans une revue hal-01829380v1

Spectral properties of Google matrix of Wikipedia and other networks

Leonardo Ermann , Klaus M. Frahm , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2013, 86, pp.193. ⟨10.1140/epjb/e2013-31090-8⟩
Article dans une revue hal-00761760v1
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Multi-cultural Wikipedia mining of geopolitics interactions leveraging reduced Google matrix analysis

Klaus M. Frahm , Samer El Zant , Katia Jaffrès-Runser , Dima Shepelyansky
Physics Letters A, 2017, 381 (33), pp.2677-2685. ⟨10.1016/j.physleta.2017.06.021⟩
Article dans une revue hal-01422586v1
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Quantum chaos and random matrix theoryfor fidelity decay in quantum computationswith static imperfections

Klaus M. Frahm , Robert Fleckinger , Dima Shepelyansky
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2004, 29, pp.139. ⟨10.1140/epjd/e2004-00038-x⟩
Article dans une revue hal-00000947v2

Ulam method for the Chirikov standard map

Klaus M. Frahm , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2010, 76 (1), pp.57. ⟨10.1140/epjb/e2010-00190-6⟩
Article dans une revue hal-00471997v1

Wikipedia mining of hidden links between political leaders

Klaus M. Frahm , Katia Jaffrès-Runser , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2016, 89, pp.269. ⟨10.1140/epjb/e2016-70526-3⟩
Article dans une revue hal-01362129v1
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Ising-PageRank model of opinion formation on social networks

Klaus M. Frahm , Dima Shepelyansky
Physica A: Statistical Mechanics and its Applications, 2019, 526, pp.121069. ⟨10.1016/j.physa.2019.121069⟩
Article dans une revue hal-01927647v1

Small world of Ulam networks for chaotic Hamiltonian dynamics

Klaus M. Frahm , Dima Shepelyansky
Physical Review E , 2018, 98 (3), pp.032205. ⟨10.1103/PhysRevE.98.032205⟩
Article dans une revue hal-01839938v1

Effects of imperfections for Shor's factorization algorithm

Ignacio Garcia-Mata , Klaus M. Frahm , Dima Shepelyansky
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2007, 75, pp.052311. ⟨10.1103/PhysRevA.75.052311⟩
Article dans une revue hal-00126356v1

Google matrix analysis of directed networks

Leonardo Ermann , Klaus M. Frahm , Dima Shepelyansky
Reviews of Modern Physics, 2015, 87 (4), pp.1261-1310. ⟨10.1103/RevModPhys.87.1261⟩
Article dans une revue hal-01059923v1
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Collective intelligence defines biological functions in Wikipedia as communities in the hidden protein connection network

Andrei Zinovyev , Urszula Czerwinska , Laura Cantini , Emmanuel Barillot , Klaus M. Frahm , et al.
PLoS Computational Biology, 2020, ⟨10.1371/journal.pcbi.1007652⟩
Article dans une revue hal-02114063v1

PageRank of integers

Klaus M. Frahm , A. D. Chepelianskii , Dima Shepelyansky
Journal of Physics A: Mathematical and Theoretical, 2012, 45, pp.405101. ⟨10.1088/1751-8113/45/40/405101⟩
Article dans une revue hal-00702462v1

Analysis of world terror networks from the reduced Google matrix of Wikipedia

Samer El Zant , Klaus M. Frahm , Katia Jaffrès-Runser , Dima Shepelyansky
The European Physical Journal B: Condensed Matter and Complex Systems, 2018, 91, pp.7. ⟨10.1140/epjb/e2017-80570-0⟩
Article dans une revue hal-01614820v1