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
Principal investigator (from the host institution)
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]
- Komputer stacjonarny.
- Komputer stacjonarny iMac (2 pcs). Cost: 14 000 PLN
- Komputer stacjonarny iMac (3 pcs). Cost: 21 000 PLN
- Mac Book.
- Mac Book. Cost: 5 000 PLN
- Mac Book (2 pcs). Cost: 10 000 PLN
- Notebook. Cost: 5 000 PLN
- Tablet (4 pcs). Cost: 12 000 PLN
- Zestaw komputera stacjonarnego. Cost: 7 000 PLN
Information in the final report
Publication in academic press/journals (55)
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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)
-
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)
-
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