Interdisciplinary applications of random matrix theory

2011/02/A/ST1/00119

Keywords

Descriptors

  • ST2_14: Zjawiska nieliniowe
  • ST6_7: Teoretyczne podstawy informatyki, w tym informatyka kwantowa
  • ST1_12: Fizyka matematyczna

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Uniwersytet Jagielloński, Wydział Fizyki, Astronomii i Informatyki Stosowanej

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Maciej Andrzej Nowak

Number of co-investigators in the project: 12

Call

MAESTRO 1 – announced on 2011-06-15

Amount awarded
1 939 800 PLN
Project start date
2012-04-26
Project end date
2017-09-26
Project duration
65 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Komputer stacjonarny.
  2. Komputer stacjonarny iMac (2 pcs). Cost: 14 000 PLN
  3. Komputer stacjonarny iMac (3 pcs). Cost: 21 000 PLN
  4. Mac Book.
  5. Mac Book. Cost: 5 000 PLN
  6. Mac Book (2 pcs). Cost: 10 000 PLN
  7. Notebook. Cost: 5 000 PLN
  8. Tablet (4 pcs). Cost: 12 000 PLN
  9. Zestaw komputera stacjonarnego. Cost: 7 000 PLN

Information in the final report

Publication in academic press/journals (55)

  1. The Accessibility of Convex Bodies and Derandomization of the Hit and Run Algorithm

    Authors:
    B. Collins, T.Kousha, R.Kulik, T.Szarek, K. Życzkowski
    Academic press:
    Journal of Convex Analysis (year: 2017, volume: 24, pages: 903-916), Publisher: Heldermann Verlag
    Status:
    Published
  2. Spectra of large time-lagged correlation matrices from Random Matrix Theory

    Authors:
    M. A. Nowak, W. Tarnowski
    Academic press:
    J. Stat. Mech. (year: 2017, volume: 2017, pages: 63405), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-5468/aa6504 – link to the publication
  3. Convex set of quantum states with positive partial transpose analysed by hit and run algorithm

    Authors:
    K.Szymański, B. Collins, T. Szarek, K. Życzkowski
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2017, volume: 50, pages: 255206), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa70f5 – link to the publication
  4. Quantum noise generated by local random Hamiltonians

    Authors:
    M. Markiewicz, Z. Puchała, A. de Rosier, W. Laskowski, K. Życzkowski
    Academic press:
    Physical Review A (year: 2017, volume: 95, pages: 32333), Publisher: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.95.032333 – link to the publication
  5. Disorder in the Sachdev-Yee-Kitaev Model

    Authors:
    Y. Liu, M. A. Nowak, I. Zahed
    Academic press:
    Phys. Lett. B (year: 2017, volume: 773, pages: 647-653), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2017.08.054 – link to the publication
  6. Time reversals of irreversible quantum maps

    Authors:
    Erik Aurell, Jakub Zakrzewski, Karol Życzkowski
    Academic press:
    Journal of Physics A Mathematical and Theoretical (year: 2015, volume: 48, pages: 38), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/48/38/38FT01 – link to the publication
  7. Hydrodynamics of the Polyakov line in SU(Nc) Yang–Mills

    Authors:
    Yizhuang Liu, Piotr Warchoł, Ismail Zahed
    Academic press:
    Physics Letters B (year: 2015, volume: 753, pages: 65-68), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2015.11.078 – link to the publication
  8. Unveiling the significance of eigenvectors in diffusing non-hermitian matrices by identifying the underlying Burgers dynamics

    Authors:
    Zdzisław Burda, Jacek Grela, Maciej A. Nowak, Wojciech Tarnowski, Piotr Warchoł
    Academic press:
    Nuclear Physics B (year: 2015, volume: 897, pages: 421), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nuclphysb.2015.06.002 – link to the publication
  9. What drives transient behavior in complex systems?

    Authors:
    J. Grela
    Academic press:
    Physical Review E (year: 2017, volume: 96, pages: 22316), Publisher: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevE.96.022316 – link to the publication
  10. Quaternionic R transform and non-hermitian random matrices

    Authors:
    Zdzisław Burda, Artur Święch
    Academic press:
    Physical Review E (year: 2015, volume: 92, pages: 52111), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.92.052111 – link to the publication
  11. Maximally Entangled Multipartite States: A Brief Survey

    Authors:
    M. Enríquez, I. Wintrowicz, K. Życzkowski
    Academic press:
    Journal of Physics: Conference Series (year: 2016, volume: 698, pages: 12003), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-6596/698/1/012003 – link to the publication
  12. Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem

    Authors:
    S. Belinschi, M. A. Nowak, R. Speicher, W. Tarnowski
    Academic press:
    Journal of Physics A (Mathematical and Theoretical) (year: 2017, volume: 50, pages: 105204), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa5451 – link to the publication
  13. Minimal Renyi-Ingarden-Urbanik entropy of multipartite quantum states

    Authors:
    Marco Enriquez, Zbigniew Puchała, Karol Życzkowski
    Academic press:
    Entropy (year: 2015, volume: 17, pages: 5063-5084), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/e17075063 – link to the publication
  14. How we move is universal: scaling in the average shape of human activity

    Authors:
    Dante R. Chialvo, Ana Maria Gonzalez Torrado, Ewa Gudowska-Nowak, Jeremi K. Ochab, Pedro Montoya, Maciej A. Nowak, Enzo Tagliazucchi
    Academic press:
    Papers in Physics (year: 2015, volume: 7, pages: 70017), Publisher: Instituto de Física de Líquidos y Sistemas Biológicos
    Status:
    Published
    DOI:
    10.4279/PIP.070017 – link to the publication
  15. Hydrodynamical Description of the QCD Dirac Spectrum at Finite Chemical Potential

    Authors:
    Yizhuang Liu, Piotr Warchoł, Ismail Zahed
    Academic press:
    Physical Review D (year: 2015, volume: 92, pages: 114020), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.92.114020 – link to the publication
  16. Diffusion method in Random Matrix Theory

    Authors:
    J. Grela
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2015, volume: 49, pages: 15201), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/49/1/015201 – link to the publication
  17. Chiral random matrix model at finite chemical potential: Characteristic determinant and edge universality

    Authors:
    Y. Liu, M. A. Nowak, I. Zahed
    Academic press:
    Nuclear Physics B (year: 2016, volume: 909, pages: 14-42), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nuclphysb.2016.04.040 – link to the publication
  18. Hydrodynamics of the Dirac spectrum

    Authors:
    Y. Liu, P. Warchoł, I. Zahed
    Academic press:
    Physics Letters B (year: 2016, volume: 753, pages: 303), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2015.12.032 – link to the publication
  19. Hydrodynamical spectral evolution for random matrices

    Authors:
    P. J. Forrester, J. Grela
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2016, volume: 49, pages: 85203), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/49/8/085203 – link to the publication
  20. Distinguishability of generic quantum states

    Authors:
    Z. Puchała, Ł. Pawela, K. Życzkowski
    Academic press:
    Physical Review A (year: 2016, volume: 93, pages: 62112), Publisher: APS Physics
    Status:
    Published
    DOI:
    10.1103/physreva.93.062112 – link to the publication
  21. Ornstein–Uhlenbeck diffusion of hermitian and non-hermitian matrices—unexpected links

    Authors:
    J.P Blaizot,. Grela, M. A. Nowak, W. Tarnowski, P. Warchoł
    Academic press:
    Journal of Statistical Mechanics: Theory and Experiment (year: 2016, volume: 2016, pages: 54037), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-5468/2016/05/054037 – link to the publication
  22. Seeking a fingerprint: analysis of point processes in actigraphy recording

    Authors:
    E. Gudowska-Nowak, J. K. Ochab, K. Oleś, E. Beldzik, D. R. Chialvo, A. Domagalik, . Fąfrowicz, T. Marek, M. A. Nowak, H. Ogińska, J. Szwed, J. Tyburczyk
    Academic press:
    Journal of Statistical Mechanics: Theory and Experiment (year: 2016, volume: 2016, pages: 54034), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-5468/2016/05/054034 – link to the publication
  23. Multipartite entanglement in heterogeneous systems

    Authors:
    D. Goyeneche, J. Bielawski, K. Życzkowski
    Academic press:
    Physical Review A (year: 2016, volume: 94, pages: 12346), Publisher: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.94.012346 – link to the publication
  24. Comparison of eigeninference based on one- and two-point Green's functions

    Authors:
    Zbigniew Drogosz, Jerzy Jurkiewicz, Grzegorz Łukaszewski, Maciej A. Nowak
    Academic press:
    Physical Review E (year: 2015, volume: 92, pages: 22111), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.92.022111 – link to the publication
  25. Gelfand-Raikov representation of Coxeter groups associated with positive definite norm functions

    Authors:
    Marek Bożejko, Takeshi Hirai
    Academic press:
    Probability and Mathematical Statistics (year: 2014, volume: 34, pages: 161-180), Publisher: Wydawnictwo Uniwersytetu Wrocławskiego
    Status:
    Published
    DOI:
    link to the publication
  26. Commutative law for products of infinitely large isotropic random matrices

    Authors:
    Z. Burda, G. Livan, A. Swiech
    Academic press:
    Physical Review (year: 2013, volume: E88, pages: 22107), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.88.022107 – link to the publication
  27. Jarzynski equality for quantum stochastic maps

    Authors:
    Alexey E. Rastegin, Karol Życzkowski
    Academic press:
    Physical Review (year: 2014, volume: E89, pages: 12127), Publisher: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevE.89.012127 – link to the publication
  28. Universal shocks in the Wishart random-matrix ensemble. II. Nontrivial initial conditions

    Authors:
    Jean-Paul Blaizot, Maciej A. Nowak, Piotr Warchoł
    Academic press:
    Physical Review (year: 2014, volume: E89, pages: 42130), Publisher: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevE.89.042130 – link to the publication
  29. A family of sequences of binomial type

    Authors:
    W. Młotkowski, A. Romanowicz
    Academic press:
    Probability and Mathematical Statistics (year: 2013, volume: 33, pages: 401-408), Publisher: Wydawnictwo Uniwersytetu Wrocławskiego
    Status:
    Published
    DOI:
    link to the publication
  30. On free infinitive divisibility for classical Meixner distribution

    Authors:
    M. Bożejko, T. Hasebe
    Academic press:
    Probability and Mathematical Statistics (year: 2013, volume: 33, pages: 363-275), Publisher: Wydawnictwo Uniwersytetu Wrocławskiego
    Status:
    Published
    DOI:
    link to the publication
  31. Collective Correlations of Brodmann Areas fMRI Study with RMT-Denoising

    Authors:
    Z. Burda, J. Kornelsen, M. A. Nowak, B. Porebski, U. Sboto-Frankenstein, B. Tomanek, J. Tyburczyk
    Academic press:
    Acta Physica Polonica B (year: 2013, volume: 44, pages: 1243), Publisher: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.44.1243 – link to the publication
  32. Free products of large random matrices - a short review of recent developments

    Authors:
    Z. Burda
    Academic press:
    Journal of Physics: Conference Series (year: 2013, volume: 473, pages: 12002), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-6596/473/1/012002 – link to the publication
  33. Dysonian dynamics of the Ginibre ensemble

    Authors:
    Zdzisław Burda, Jacek Grela, Maciej A. Nowak, Wojciech Tarnowski, Piotr Warchoł
    Academic press:
    Physical Review Letters (year: 2014, volume: 113, pages: 104102), Publisher: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.113.104102 – link to the publication
  34. Universal distribution of Lyapunov exponents for products of Ginibre matrices

    Authors:
    Gernot Akemann, Zdzisław Burda, Mario Kieburg
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2014, volume: 47, pages: 395202), Publisher: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8113/47/39/395202 – link to the publication
  35. Numerical range for random matrices

    Authors:
    Benoît Collins, Piotr Gawron, Alexander E. Litvak, Karol Życzkowski
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2014, volume: 418, pages: 516-533), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.03.072 – link to the publication
  36. Universal microscopic correlation functions for products of truncated unitary matrices

    Authors:
    Gernot Akemann, Zdzisław Burda, Mario Kieburg, Taro Nagao
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2014, volume: 47, pages: 255202), Publisher: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8113/47/25/255202 – link to the publication
  37. Generalized Gaussian processes and relations with random matrices and positive definite functions on permutation groups

    Authors:
    Marek Bożejko, Wojciech Bożejko
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics (year: 2015, volume: 18, pages: 1550020), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025715500204 – link to the publication
  38. Invariant sums of random matrices and the onset of level repulsion

    Authors:
    Zdzisław Burda, Giacomo Livan, Pierpaolo Vivo
    Academic press:
    Journal of Statistical Mechanics: Theory and Experiment (year: 2015, volume: 6, pages: P06024), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-5468/2015/06/P06024 – link to the publication
  39. Diagonal unitary entangling gates and contradiagonal quantum states

    Authors:
    Arul Lakshminarayan, Zbigniew Puchała, Karol Życzkowski
    Academic press:
    Physical Review A (year: 2014, volume: 90, pages: 32303), Publisher: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevA.90.032303 – link to the publication
  40. Scale-free Fluctuations in Behavioral Performance: Delineating Changes in Spontaneous Behavior of Humans with Induced Sleep Deficiency

    Authors:
    Jeremi K. Ochab, Jacek Tyburczyk, Ewa Beldzik, Dante R. Chialvo, Aleksandra Domagalik, Magdalena Fąfrowicz, Ewa Gudowska-Nowak, Tadeusz Marek, Maciej A. Nowak, Halszka Ogińska, Jerzy Szwed
    Academic press:
    PLoS One (year: 2014, volume: 9, pages: e107542), Publisher: Public Library of Science
    Status:
    Published
    DOI:
    10.1371/journal.pone.0107542 – link to the publication
  41. Complete diagrammatics of the single-ring theorem

    Authors:
    M. A. Nowak, W. Tarnowski
    Academic press:
    Physical Review E (year: 2017, volume: 96, pages: 42149), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.96.042149 – link to the publication
  42. Spectral relations between products and powers of isotropic random matrices

    Authors:
    Z. Burda, M.A. Nowak, A. Swiech
    Academic press:
    Physical Review (year: 2012, volume: E86, pages: 61137), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.86.061137 – link to the publication
  43. Universal micrsocopic correlation functions for products of independent Ginibre matrices

    Authors:
    G. Akemann, Z. Burda
    Academic press:
    Journal of Physics A (Mathematical Physics) (year: 2012, volume: 45, pages: 464201), Publisher: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8113/45/46/465201 – link to the publication
  44. Spectral density of generalized Wishart matrices and free multiplicative convolution

    Authors:
    Wojciech Młotkowski, Maciej A. Nowak, Karol A. Penson, Karol Życzkowski
    Academic press:
    Physical Review E (year: 2015, volume: 92, pages: 12121), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.92.012121 – link to the publication
  45. Universal spectral shocks in Random Matrix Theory - Lessons for QCD

    Authors:
    Jean-Paul Blaizot, Jacek Grela, Maciej A. Nowak, Piotr Warchoł
    Academic press:
    Acta Physica Polonica B (year: 2015, volume: 46, pages: 1785), Publisher: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.46.1785 – link to the publication
  46. Asymptotic entropic uncertainty relations

    Authors:
    R. Adamczak, R. Latała, Z. Puchała, K. Życzkowski
    Academic press:
    Journal of Mathematical Physics (year: 2016, volume: 57, pages: 32204), Publisher: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.4944425 – link to the publication
  47. Fock space associated to Coxeter group of type B

    Authors:
    M. Bożejko, W. Ejsmont, T. Hasebe
    Academic press:
    Journal Functional Analysis (year: 2015, volume: 269, pages: 209-227), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2015.06.026 – link to the publication
  48. Universal shocks in the Wishart random matrix ensemble

    Authors:
    J.-P. Blaizot, M.A. Nowak, P. Warchoł
    Academic press:
    Physical Review (year: 2013, volume: E87, pages: 52134), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.87.052134 – link to the publication
  49. Better Late than Never: Information Retrieval from Black Holes

    Authors:
    D.L. Braunstein, S. Pirandola, K. Życzkowski
    Academic press:
    Physical Review Letters (year: 2013, volume: 110, pages: 101301-5), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.110.101301 – link to the publication
  50. Chiral Disorder and Random Matrix Theory with Magnetism

    Authors:
    Maciej A. Nowak, Mariusz Sadzikowski, Ismail Zahed
    Academic press:
    Acta Physica Polonica B (year: 2016, volume: 47, pages: 2173), Publisher: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.47.2173 – link to the publication
  51. Densities of the Raney distributions

    Authors:
    W. Młotkowski, K.l A. Penson, K. Życzkowski
    Academic press:
    Documenta Mathematica (year: 2013, volume: 18, pages: 1573-1596), Publisher: DMV
    Status:
    Published
  52. Area law for random graph states

    Authors:
    B. Collins, I. Nechita, K. Życzkowski
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2013, volume: 46, pages: 305302), Publisher: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/46/30/305302 – link to the publication
  53. An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions

    Authors:
    Marek Bożejko, Eugene Lytvynov, Irina Rodionova
    Academic press:
    Russian Mathematical Surveys (year: 2015, volume: 70, pages: 857–899), Publisher: IOP
    Status:
    Published
    DOI:
    10.1070/RM2015v070n05ABEH004965 – link to the publication
  54. Burgers-like equation for spontaneous breakdown of the chiral symmetry in QCD

    Authors:
    J.-P. Blazoit, M.A. Nowak, P. Warchoł
    Academic press:
    Physics Letters B (year: 2013, volume: 724, pages: 170-175), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2013.06.022 – link to the publication
  55. Diffusion in the space of complex Hermitian matrices - microscopic properties of the averaged characteristic polynomial and the averaged inverse characteristic polynomial

    Authors:
    Jean-Paul Blaizot, Jacek Grela, Maciej A. Nowak, Piotr Warchoł
    Academic press:
    Acta Physica Polonica B (year: 2015, volume: 46, pages: 1801), Publisher: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.46.1801 – link to the publication

Articles in post-conference publications (1)

  1. Random Matrix Theory: Foundations and Applications

    Authors:
    Edytorzy: Maciej A. Nowak, Jeremi K. Ochab
    Conference:
    Random Matrix Theory: Foundations and Applications (year: 2015, pages: 1603-1906), Publisher: Uniwersytet Jagielloński
    Date:
    conference 1-6.07.2014
    Status:
    Published

Book publications / chapters in book publications (1)

  1. Teoria macierzy przypadkowych jako rachunek prawdopodobieństwa

    Authors:
    Maciej A. Nowak
    Book:
    Metody matematyczne w zastosowaniach (year: 2014, volume: 2, pages: 193-208), Publisher: Centrum Zastosowań Matematyki
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski