FRAHM Klaus

Full Professor CNU29

Address: LPT, UMR5152, Université Paul Sabatier, 118, route de Narbonne 31062 Toulouse Cedex 9 - FRANCE

Quantum Coherence

klaus.frahm(at)irsamc.ups-tlse.fr

05 6155 7663

320 Building 3R1B4

Research topics
Publications
Teaching

Complex networks, Google matrix, reduced Google matrix, applcations to Wikipedia, protein (MetaCore, Signor) and other networks.
Thermalization and decoherence in quantum many body and nonlinear systems
Rand matrices, localization in disordered and quasi periodic systems (with and without interactions)
Quantum chaos systems
Coulomb pair formation in narrow and HTC systems.

Publications by Google Scholar: HERE

Publications by arxiv: HERE

Publications by Hal below:

47 documents

Journal articles44 document

Klaus M. Frahm, Dima L Shepelyansky. Relations of Society Concepts and Religions from Wikipedia Networks. Information, 2025, 16 (1), pp.33. ⟨10.3390/info16010033⟩. ⟨hal-04886817⟩
Klaus M. Frahm, Ekaterina Kotelnikova, Oksana Kunduzova, Dima Shepelyansky. Fibroblast-Specific Protein-Protein Interactions for Myocardial Fibrosis from MetaCore Network. Biomolecules, 2024, 14 (11), pp.1395. ⟨10.3390/biom14111395⟩. ⟨hal-04847963⟩
Klaus M. Frahm, Dima Shepelyansky. Random matrix model of Kolmogorov-Zakharov turbulence. Physical Review E , 2024, 109 (4), pp.044201. ⟨10.1103/PhysRevE.109.044201⟩. ⟨hal-04610795⟩
Klaus M. Frahm, Dima Shepelyansky. Goal quest for an intelligent surfer moving in a chaotic flow. Physical Review E , 2023, 108, pp.054212. ⟨10.1103/PhysRevE.108.054212⟩. ⟨hal-04159934⟩
Klaus M. Frahm, Dima Shepelyansky. Nonlinear perturbation of Random Matrix Theory. Physical Review Letters, 2023, 131 (7), pp.077201. ⟨10.1103/PhysRevLett.131.077201⟩. ⟨hal-03911596⟩
Klaus M. Frahm, Dima Shepelyansky. Cooper approach to pair formation in a tight-binding model of La-based cuprate superconductors. The European Physical Journal B: Condensed Matter and Complex Systems, 2022, 95 (11), pp.187. ⟨10.1140/epjb/s10051-022-00451-5⟩. ⟨hal-03878795⟩
Leonardo Ermann, Klaus M. Frahm, Dima Shepelyansky. Loschmidt echo and Poincare recurrences of entanglement. Journal of Physics A: Mathematical and Theoretical, 2022, 55 (23), pp.234004. ⟨10.1088/1751-8121/ac6af9⟩. ⟨hal-03519061⟩
Ekaterina Kotelnikova, Klaus M. Frahm, José Lages, Dima Shepelyansky. Statistical properties of the MetaCore network of protein-protein interactions. Applied Network Science, 2022, 7 (1), pp.7. ⟨10.1007/s41109-022-00444-4⟩. ⟨hal-03190065⟩
Ekaterina Kotelnikova, Klaus M. Frahm, Dima Shepelyansky, Oksana Kunduzova. Fibrosis Protein-Protein Interactions from Google Matrix Analysis of MetaCore Network. International Journal of Molecular Sciences, 2022, 23 (1), pp.67. ⟨10.3390/ijms23010067⟩. ⟨hal-03501843⟩
Klaus M. Frahm, Dima Shepelyansky. Chaotic Einstein-Podolsky-Rosen pairs, measurements and time reversal. The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2021, 75, pp.277. ⟨10.1140/epjd/s10053-021-00274-6⟩. ⟨hal-03252947⟩
Klaus M. Frahm, Dima Shepelyansky. Coulomb electron pairing in a tight-binding model of La-based cuprate superconductors. The European Physical Journal B: Condensed Matter and Complex Systems, 2021, 94 (29), ⟨10.1140/epjb/s10051-020-00035-1⟩. ⟨hal-02909891⟩
Klaus M. Frahm, Dima Shepelyansky. Google matrix analysis of bi-functional SIGNOR network of protein-protein interactions. Physica A: Statistical Mechanics and its Applications, 2020, 559, pp.125019. ⟨10.1016/j.physa.2020.125019⟩. ⟨hal-02297365⟩
Klaus M. Frahm, Dima Shepelyansky. Electron pairing by Coulomb repulsion in narrow band structures. Physical Review Research, 2020, 2 (2), pp.023354. ⟨10.1103/PhysRevResearch.2.023354⟩. ⟨hal-02482347⟩
Andrei Zinovyev, Urszula Czerwinska, Laura Cantini, Emmanuel Barillot, Klaus M. Frahm, et al.. Collective intelligence defines biological functions in Wikipedia as communities in the hidden protein connection network. PLoS Computational Biology, 2020, ⟨10.1371/journal.pcbi.1007652⟩. ⟨hal-02114063⟩
Denis Demidov, Klaus M. Frahm, Dima Shepelyansky. What is the central bank of Wikipedia?. Physica A, 2020, ⟨10.1016/j.physa.2019.123199⟩. ⟨hal-02045594⟩
Klaus M. Frahm, Leonardo Ermann, Dima Shepelyansky. Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap. Condensed Matter, 2019, 4, pp.76. ⟨10.3390/condmat4030076⟩. ⟨hal-02185995⟩
Klaus M. Frahm, Dima Shepelyansky. Ising-PageRank model of opinion formation on social networks. Physica A: Statistical Mechanics and its Applications, 2019, 526, pp.121069. ⟨10.1016/j.physa.2019.121069⟩. ⟨hal-01927647⟩
Klaus M. Frahm, Dima Shepelyansky. Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole. The European Physical Journal B: Condensed Matter and Complex Systems, 2018, 91, pp.257. ⟨10.1140/epjb/e2018-90296-0⟩. ⟨hal-01782656⟩
Samer El Zant, Katia Jaffrès-Runser, Klaus M. Frahm, Dima Shepelyansky. Interactions and influence of world painters from the reduced Google matrix of Wikipedia networks. IEEE Access, 2018, ⟨10.1109/ACCESS.2018.2867327⟩. ⟨hal-01829380⟩
Klaus M. Frahm, Dima Shepelyansky. Small world of Ulam networks for chaotic Hamiltonian dynamics. Physical Review E , 2018, 98 (3), pp.032205. ⟨10.1103/PhysRevE.98.032205⟩. ⟨hal-01839938⟩
Leonardo Ermann, Klaus M. Frahm, Dima Shepelyansky. Google matrix of Bitcoin network. The European Physical Journal B: Condensed Matter and Complex Systems, 2018, 91, pp.127. ⟨10.1140/epjb/e2018-80674-y⟩. ⟨hal-01653206⟩
Samer El Zant, Klaus M. Frahm, Katia Jaffrès-Runser, Dima Shepelyansky. Analysis of world terror networks from the reduced Google matrix of Wikipedia. The European Physical Journal B: Condensed Matter and Complex Systems, 2018, 91, pp.7. ⟨10.1140/epjb/e2017-80570-0⟩. ⟨hal-01614820⟩
Klaus M. Frahm, Samer El Zant, Katia Jaffrès-Runser, Dima Shepelyansky. Multi-cultural Wikipedia mining of geopolitics interactions leveraging reduced Google matrix analysis. Physics Letters A, 2017, 381 (33), pp.2677-2685. ⟨10.1016/j.physleta.2017.06.021⟩. ⟨hal-01422586⟩
Klaus M. Frahm, Katia Jaffrès-Runser, Dima Shepelyansky. Wikipedia mining of hidden links between political leaders. The European Physical Journal B: Condensed Matter and Complex Systems, 2016, 89, pp.269. ⟨10.1140/epjb/e2016-70526-3⟩. ⟨hal-01362129⟩
Klaus M. Frahm. Eigenfunction structure and scaling of two interacting particles in the one-dimensional Anderson model. The European Physical Journal B: Condensed Matter and Complex Systems, 2016, 89 (5), pp.115. ⟨10.1140/epjb/e2016-70114-7⟩. ⟨hal-01280114⟩
Klaus M. Frahm, Dima Shepelyansky. Delocalization of two interacting particles in the two-dimensional Harper model. The European Physical Journal B: Condensed Matter and Complex Systems, 2016, 89 (8), ⟨10.1140/epjb/e2015-60787-7⟩. ⟨hal-01212195⟩
Klaus M. Frahm, Dima Shepelyansky. Freed by interaction kinetic states in the Harper model. The European Physical Journal B: Condensed Matter and Complex Systems, 2015, 88 (337), ⟨10.1140/epjb/e2015-60733-9⟩. ⟨hal-01196586⟩
Leonardo Ermann, Klaus M. Frahm, Dima Shepelyansky. Google matrix analysis of directed networks. Reviews of Modern Physics, 2015, 87 (4), pp.1261-1310. ⟨10.1103/RevModPhys.87.1261⟩. ⟨hal-01059923⟩
Klaus M. Frahm, Young-Ho Eom, Dima Shepelyansky. Google matrix of the citation network of Physical Review. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 89 (5), pp.052814. ⟨10.1103/PhysRevE.89.052814⟩. ⟨hal-00875391⟩
Klaus M. Frahm, Dima Shepelyansky. Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks. The European Physical Journal B: Condensed Matter and Complex Systems, 2014, 87, pp.93. ⟨10.1140/epjb/e2014-50123-4⟩. ⟨hal-00959831⟩
Young-Ho Eom, Klaus M. Frahm, András Benczúr, Dima Shepelyansky. Time evolution of Wikipedia network ranking. The European Physical Journal B: Condensed Matter and Complex Systems, 2013, 86, pp.492. ⟨10.1140/epjb/e2013-40432-5⟩. ⟨hal-00817818⟩
Klaus M. Frahm, Dima Shepelyansky. Poincaré recurrences and Ulam method for the Chirikov standard map. The European Physical Journal B: Condensed Matter and Complex Systems, 2013, 86, pp.322. ⟨10.1140/epjb/e2013-40120-6⟩. ⟨hal-00787932⟩
Leonardo Ermann, Klaus M. Frahm, Dima Shepelyansky. Spectral properties of Google matrix of Wikipedia and other networks. The European Physical Journal B: Condensed Matter and Complex Systems, 2013, 86, pp.193. ⟨10.1140/epjb/e2013-31090-8⟩. ⟨hal-00761760⟩
Klaus M. Frahm, Dima Shepelyansky. Google matrix of Twitter. The European Physical Journal B: Condensed Matter and Complex Systems, 2012, 85, pp.355. ⟨10.1140/epjb/e2012-30599-6⟩. ⟨hal-00718415⟩
Klaus M. Frahm, A. D. Chepelianskii, Dima Shepelyansky. PageRank of integers. Journal of Physics A: Mathematical and Theoretical, 2012, 45, pp.405101. ⟨10.1088/1751-8113/45/40/405101⟩. ⟨hal-00702462⟩
Klaus M. Frahm, Dima Shepelyansky. Poincare recurrences of DNA sequence. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2012, 85, pp.016214. ⟨10.1103/PhysRevE.85.016214⟩. ⟨hal-00619051⟩
Klaus M. Frahm, Bertrand Georgeot, Dima Shepelyansky. Universal Emergence of PageRank. Journal of Physics A: Mathematical and Theoretical, 2011, 44, pp.465101. ⟨10.1088/1751-8113/44/46/465101⟩. ⟨hal-00591045⟩
Klaus M. Frahm, Dima Shepelyansky. Ulam method for the Chirikov standard map. The European Physical Journal B: Condensed Matter and Complex Systems, 2010, 76 (1), pp.57. ⟨10.1140/epjb/e2010-00190-6⟩. ⟨hal-00471997⟩
Klaus M. Frahm, Dima Shepelyansky. Diffusion and localization for the Chirikov typical map. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 80 (1), pp.016210. ⟨10.1103/PhysRevE.80.016210⟩. ⟨hal-00383744⟩
Ignacio Garcia-Mata, Klaus M. Frahm, Dima Shepelyansky. Shor’s factorization algorithm with a single control qubit and imperfections. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2008, 78 (6), pp.062323. ⟨10.1103/PhysRevA.78.062323⟩. ⟨hal-00325048⟩
Ignacio Garcia-Mata, Klaus M. Frahm, Dima Shepelyansky. Effects of imperfections for Shor’s factorization algorithm. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2007, 75, pp.052311. ⟨10.1103/PhysRevA.75.052311⟩. ⟨hal-00126356⟩
Klaus M. Frahm, Robert Fleckinger, Dima Shepelyansky. Quantum chaos and random matrix theoryfor fidelity decay in quantum computationswith static imperfections. The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2004, 29, pp.139. ⟨10.1140/epjd/e2004-00038-x⟩. ⟨hal-00000947v2⟩
Klaus M. Frahm, Jean-Louis Pichard. Brownian Motion Ensembles and Parametric Correlations of the Transmission Eigenvalues: Application to Coupled Quantum Billiards and to Disordered Wires. Journal de Physique I, 1995, 5 (7), pp.877-906. ⟨10.1051/jp1:1995111⟩. ⟨jpa-00247108⟩
Klaus M. Frahm, Jean-Louis Pichard. Magnetoconductance of Ballistic Chaotic Quantum Dots: A Brownian Motion Approach For the S-Matrix. Journal de Physique I, 1995, 5 (7), pp.847-876. ⟨10.1051/jp1:1995171⟩. ⟨jpa-00247107⟩

Conference papers1 document

Samer El Zant, Klaus M. Frahm, Katia Jaffrès-Runser, Dima Shepelyansky. Analyse des interactions géopolitiques par la matrice de Google réduite. ALGOTEL 2017 – 19èmes Rencontres Francophones sur les Aspects Algorithmiques des Télécommunications, May 2017, Quiberon, France. ⟨hal-01517092⟩

Preprints, Working Papers2 document

Klaus M. Frahm, Dima Shepelyansky. Linear response theory for Google matrix. 2019. ⟨hal-02270582⟩
Klaus M. Frahm, Dima Shepelyansky. Reduced Google matrix. 2016. ⟨hal-01271386⟩

Responsable OM4 (Outils Mathématiques 4, autumn) and OM3 (Outils Mathématiques 3, autumn and spring)
ON2 (Outils Numériques 2) Language Python (spring)
ON3 (Outils Numériques 3) Language C (autumn)
Statistical Physics (TD and numerical TP, spring since 2024/2025 and autumn until 2023/2024)

FRAHM Klaus

Quantum Coherence

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Journal articles44 document

Conference papers1 document

Preprints, Working Papers2 document