Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Interdisciplinary applications of random matrix theory

2011/02/A/ST1/00119

Keywords:

random matrix theories novel interdisciplinary applications

Descriptors:

  • ST2_14: Non-linear phenomena
  • ST6_7: Artificial intelligence, intelligent systems, multi-agent systems
  • ST1_12: Mathematical methods of physics

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

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Maciej 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 (Y-m-d): 2012-04-26

Project end date (Y-m-d): 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 szt.) (14 000 PLN)
  3. Komputer stacjonarny iMac (3 szt.) (21 000 PLN)
  4. Mac Book (2 szt.) (10 000 PLN)
  5. Notebook (5 000 PLN)
  6. Tablet (4 szt.) (12 000 PLN)
  7. Mac Book (5 000 PLN)
  8. Mac Book.
  9. Zestaw komputera stacjonarnego (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (55)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (1)
  1. A family of sequences of binomial type
    Authors:
    W. Młotkowski, A. Romanowicz
    Academic press:
    Probability and Mathematical Statistics (rok: 2013, tom: 33, strony: 401-408), Wydawca: Wydawnictwo Uniwersytetu Wrocławskiego
    Status:
    Published
    DOI:
    brak - link to the publication
  2. Asymptotic entropic uncertainty relations
    Authors:
    R. Adamczak, R. Latała, Z. Puchała, K. Życzkowski
    Academic press:
    Journal of Mathematical Physics (rok: 2016, tom: 57, strony: 32204), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.4944425 - link to the publication
  3. 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 (rok: 2013, tom: 724, strony: 170-175), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2013.06.022 - link to the publication
  4. 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 (rok: 2017, tom: 50, strony: 255206), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa70f5 - link to the publication
  5. 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 (rok: 2016, tom: 2016, strony: 54037), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-5468/2016/05/054037 - link to the publication
  6. 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 (rok: 2015, tom: 92, strony: 12121), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.92.012121 - link to the publication
  7. Spectral relations between products and powers of isotropic random matrices
    Authors:
    Z. Burda, M.A. Nowak, A. Swiech
    Academic press:
    Physical Review (rok: 2012, tom: E86, strony: 61137), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.86.061137 - link to the publication
  8. 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 (rok: 2015, tom: 70, strony: 857–899), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1070/RM2015v070n05ABEH004965 - link to the publication
  9. 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 (rok: 2016, tom: 909, strony: 14-42), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nuclphysb.2016.04.040 - link to the publication
  10. 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 (rok: 2013, tom: 44, strony: 1243), Wydawca: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.44.1243 - link to the publication
  11. 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 (rok: 2015, tom: 92, strony: 22111), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.92.022111 - link to the publication
  12. Complete diagrammatics of the single-ring theorem
    Authors:
    M. A. Nowak, W. Tarnowski
    Academic press:
    Physical Review E (rok: 2017, tom: 96, strony: 42149), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.96.042149 - link to the publication
  13. Diagonal unitary entangling gates and contradiagonal quantum states
    Authors:
    Arul Lakshminarayan, Zbigniew Puchała, Karol Życzkowski
    Academic press:
    Physical Review A (rok: 2014, tom: 90, strony: 32303), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevA.90.032303 - link to the publication
  14. Distinguishability of generic quantum states
    Authors:
    Z. Puchała, Ł. Pawela, K. Życzkowski
    Academic press:
    Physical Review A (rok: 2016, tom: 93, strony: 62112), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/physreva.93.062112 - link to the publication
  15. Hydrodynamics of the Polyakov line in SU(Nc) Yang–Mills
    Authors:
    Yizhuang Liu, Piotr Warchoł, Ismail Zahed
    Academic press:
    Physics Letters B (rok: 2015, tom: 753, strony: 65-68), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2015.11.078 - link to the publication
  16. Jarzynski equality for quantum stochastic maps
    Authors:
    Alexey E. Rastegin, Karol Życzkowski
    Academic press:
    Physical Review (rok: 2014, tom: E89, strony: 12127), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevE.89.012127 - link to the publication
  17. Numerical range for random matrices
    Authors:
    Benoît Collins, Piotr Gawron, Alexander E. Litvak, Karol Życzkowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2014, tom: 418, strony: 516-533), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.03.072 - link to the publication
  18. On free infinitive divisibility for classical Meixner distribution
    Authors:
    M. Bożejko, T. Hasebe
    Academic press:
    Probability and Mathematical Statistics (rok: 2013, tom: 33, strony: 363-275), Wydawca: Wydawnictwo Uniwersytetu Wrocławskiego
    Status:
    Published
    DOI:
    brak - link to the publication
  19. Quantum noise generated by local random Hamiltonians
    Authors:
    M. Markiewicz, Z. Puchała, A. de Rosier, W. Laskowski, K. Życzkowski
    Academic press:
    Physical Review A (rok: 2017, tom: 95, strony: 32333), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.95.032333 - link to the publication
  20. 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) (rok: 2017, tom: 50, strony: 105204), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa5451 - link to the publication
  21. 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 (rok: 2017, tom: 24, strony: 903-916), Wydawca: Heldermann Verlag
    Status:
    Published
    DOI:
    brak - link to the publication
  22. 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 (rok: 2014, tom: 47, strony: 395202), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8113/47/39/395202 - link to the publication
  23. Diffusion method in Random Matrix Theory
    Authors:
    J. Grela
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2015, tom: 49, strony: 15201), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/49/1/015201 - link to the publication
  24. Fock space associated to Coxeter group of type B
    Authors:
    M. Bożejko, W. Ejsmont, T. Hasebe
    Academic press:
    Journal Functional Analysis (rok: 2015, tom: 269, strony: 209-227), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2015.06.026 - link to the publication
  25. 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 (rok: 2015, tom: 18, strony: 1550020), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025715500204 - link to the publication
  26. Maximally Entangled Multipartite States: A Brief Survey
    Authors:
    M. Enríquez, I. Wintrowicz, K. Życzkowski
    Academic press:
    Journal of Physics: Conference Series (rok: 2016, tom: 698, strony: 12003), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-6596/698/1/012003 - link to the publication
  27. 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 (rok: 2016, tom: 2016, strony: 54034), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-5468/2016/05/054034 - link to the publication
  28. Time reversals of irreversible quantum maps
    Authors:
    Erik Aurell, Jakub Zakrzewski, Karol Życzkowski
    Academic press:
    Journal of Physics A Mathematical and Theoretical (rok: 2015, tom: 48, strony: 38), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/48/38/38FT01 - link to the publication
  29. Universal shocks in the Wishart random matrix ensemble
    Authors:
    J.-P. Blaizot, M.A. Nowak, P. Warchoł
    Academic press:
    Physical Review (rok: 2013, tom: E87, strony: 52134), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.87.052134 - link to the publication
  30. 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 (rok: 2015, tom: 897, strony: 421), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nuclphysb.2015.06.002 - link to the publication
  31. Dysonian dynamics of the Ginibre ensemble
    Authors:
    Zdzisław Burda, Jacek Grela, Maciej A. Nowak, Wojciech Tarnowski, Piotr Warchoł
    Academic press:
    Physical Review Letters (rok: 2014, tom: 113, strony: 104102), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.113.104102 - link to the publication
  32. 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 (rok: 2015, tom: 6, strony: P06024), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-5468/2015/06/P06024 - link to the publication
  33. Area law for random graph states
    Authors:
    B. Collins, I. Nechita, K. Życzkowski
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2013, tom: 46, strony: 305302), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/46/30/305302 - link to the publication
  34. Better Late than Never: Information Retrieval from Black Holes
    Authors:
    D.L. Braunstein, S. Pirandola, K. Życzkowski
    Academic press:
    Physical Review Letters (rok: 2013, tom: 110, strony: 101301-5), Wydawca: APS
    Status:
    Published
    DOI:
    10.101301 - link to the publication
  35. Chiral Disorder and Random Matrix Theory with Magnetism
    Authors:
    Maciej A. Nowak, Mariusz Sadzikowski, Ismail Zahed
    Academic press:
    Acta Physica Polonica B (rok: 2016, tom: 47, strony: 2173), Wydawca: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.47.2173 - link to the publication
  36. Densities of the Raney distributions
    Authors:
    W. Młotkowski, K.l A. Penson, K. Życzkowski
    Academic press:
    Documenta Mathematica (rok: 2013, tom: 18, strony: 1573-1596), Wydawca: DMV
    Status:
    Published
    DOI:
    brak - link to the publication
  37. Gelfand-Raikov representation of Coxeter groups associated with positive definite norm functions
    Authors:
    Marek Bożejko, Takeshi Hirai
    Academic press:
    Probability and Mathematical Statistics (rok: 2014, tom: 34, strony: 161-180), Wydawca: Wydawnictwo Uniwersytetu Wrocławskiego
    Status:
    Published
    DOI:
    brak - link to the publication
  38. Hydrodynamical Description of the QCD Dirac Spectrum at Finite Chemical Potential
    Authors:
    Yizhuang Liu, Piotr Warchoł, Ismail Zahed
    Academic press:
    Physical Review D (rok: 2015, tom: 92, strony: 114020), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.92.114020 - link to the publication
  39. Hydrodynamical spectral evolution for random matrices
    Authors:
    P. J. Forrester, J. Grela
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2016, tom: 49, strony: 85203), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/49/8/085203 - link to the publication
  40. Hydrodynamics of the Dirac spectrum
    Authors:
    Y. Liu, P. Warchoł, I. Zahed
    Academic press:
    Physics Letters B (rok: 2016, tom: 753, strony: 303), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2015.12.032 - link to the publication
  41. Minimal Renyi-Ingarden-Urbanik entropy of multipartite quantum states
    Authors:
    Marco Enriquez, Zbigniew Puchała, Karol Życzkowski
    Academic press:
    Entropy (rok: 2015, tom: 17, strony: 5063-5084), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e17075063 - link to the publication
  42. Multipartite entanglement in heterogeneous systems
    Authors:
    D. Goyeneche, J. Bielawski, K. Życzkowski
    Academic press:
    Physical Review A (rok: 2016, tom: 94, strony: 12346), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.94.012346 - link to the publication
  43. Quaternionic R transform and non-hermitian random matrices
    Authors:
    Zdzisław Burda, Artur Święch
    Academic press:
    Physical Review E (rok: 2015, tom: 92, strony: 52111), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.92.052111 - link to the publication
  44. 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 (rok: 2014, tom: 9, strony: e107542), Wydawca: Public Library of Science
    Status:
    Published
    DOI:
    10.1371/journal.pone.0107542 - link to the publication
  45. Universal micrsocopic correlation functions for products of independent Ginibre matrices
    Authors:
    G. Akemann, Z. Burda
    Academic press:
    Journal of Physics A (Mathematical Physics) (rok: 2012, tom: 45, strony: 464201), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8113/45/46/465201 - link to the publication
  46. What drives transient behavior in complex systems?
    Authors:
    J. Grela
    Academic press:
    Physical Review E (rok: 2017, tom: 96, strony: 22316), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevE.96.022316 - link to the publication
  47. Commutative law for products of infinitely large isotropic random matrices
    Authors:
    Z. Burda, G. Livan, A. Swiech
    Academic press:
    Physical Review (rok: 2013, tom: E88, strony: 22107), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.88.022107 - link to the publication
  48. 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 (rok: 2015, tom: 46, strony: 1801), Wydawca: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.46.1801 - link to the publication
  49. Disorder in the Sachdev-Yee-Kitaev Model
    Authors:
    Y. Liu, M. A. Nowak, I. Zahed
    Academic press:
    Phys. Lett. B (rok: 2017, tom: 773, strony: 647-653), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2017.08.054 - link to the publication
  50. Free products of large random matrices - a short review of recent developments
    Authors:
    Z. Burda
    Academic press:
    Journal of Physics: Conference Series (rok: 2013, tom: 473, strony: 12002), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-6596/473/1/012002 - link to the publication
  51. 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 (rok: 2015, tom: 7, strony: 70017), Wydawca: Instituto de Física de Líquidos y Sistemas Biológicos
    Status:
    Published
    DOI:
    10.4279/PIP.070017 - link to the publication
  52. Spectra of large time-lagged correlation matrices from Random Matrix Theory
    Authors:
    M. A. Nowak, W. Tarnowski
    Academic press:
    J. Stat. Mech. (rok: 2017, tom: 2017, strony: 63405), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1742-5468/aa6504 - link to the publication
  53. 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 (rok: 2014, tom: 47, strony: 255202), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8113/47/25/255202 - link to the publication
  54. 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 (rok: 2014, tom: E89, strony: 42130), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevE.89.042130 - link to the publication
  55. 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 (rok: 2015, tom: 46, strony: 1785), Wydawca: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.5506/APhysPolB.46.1785 - link to the publication
  1. Random Matrix Theory: Foundations and Applications
    Authors:
    Edytorzy: Maciej A. Nowak, Jeremi K. Ochab
    Conference:
    Random Matrix Theory: Foundations and Applications (rok: 2015, ), Wydawca: Uniwersytet Jagielloński
    Data:
    konferencja 1-6.07.2014
    Status:
    Published
  1. Teoria macierzy przypadkowych jako rachunek prawdopodobieństwa
    Authors:
    Maciej A. Nowak
    Book:
    Metody matematyczne w zastosowaniach (rok: 2014, tom: 2, strony: 193-208), Wydawca: Centrum Zastosowań Matematyki
    Status:
    Published

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