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Department of Mathematics

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  1. Home
  2. Mathematical Stochastics
  3. Prof. Dr. Torben Krüger
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Publications

In page navigation: Mathematical Stochastics
  • Teaching
  • Seminar Stochastics and Data Science
  • Prof. Dr. Torben Krüger
    • Teaching
    • DAV Correspondent
    • Projects
    • Publications
  • Prof. Dr. Andreas Greven
  • Prof. Dr. Gerhard Keller
  • Prof. Dr. Christoph Richard
  • Dr. Markus Ebke

Publications

  • Erdos L., Krüger T., Renfrew D.:
    RANDOMLY COUPLED DIFFERENTIAL EQUATIONS WITH ELLIPTIC CORRELATIONS
    In: Annals of Applied Probability 33 (2023), p. 3098-3144
    ISSN: 1050-5164
    DOI: 10.1214/22-AAP1886
    BibTeX: Download

  • Alt J., Krueger T.:
    Inhomogeneous circular law for correlated matrices
    In: Journal of Functional Analysis 281 (2021), Article No.: 109120
    ISSN: 0022-1236
    DOI: 10.1016/j.jfa.2021.109120
    BibTeX: Download
  • Erdos L., Krueger T., Nemish Y.:
    Scattering in Quantum Dots via Noncommutative Rational Functions
    In: Annales Henri Poincaré (2021)
    ISSN: 1424-0637
    DOI: 10.1007/s00023-021-01085-6
    BibTeX: Download

  • Erdos L., Krueger T., Nemish Y.:
    Local laws for polynomials of Wigner matrices
    In: Journal of Functional Analysis 278 (2020), Article No.: 108507
    ISSN: 0022-1236
    DOI: 10.1016/j.jfa.2020.108507
    BibTeX: Download
  • Erdos L., Krueger T., Schroeder D.:
    Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
    In: Communications in Mathematical Physics 378 (2020), p. 1203-1278
    ISSN: 0010-3616
    DOI: 10.1007/s00220-019-03657-4
    BibTeX: Download

  • Ajanki OH., Erdos L., Krueger T.:
    Stability of the matrix Dyson equation and random matrices with correlations
    In: Probability Theory and Related Fields 173 (2019), p. 293-373
    ISSN: 0178-8051
    DOI: 10.1007/s00440-018-0835-z
    BibTeX: Download
  • Alt J., Erdos L., Krueger T., Nemish Y.:
    Location of the spectrum of Kronecker random matrices
    In: Annales de l'Institut Henri Poincaré - Probabilités Et Statistiques 55 (2019), p. 661-696
    ISSN: 0246-0203
    DOI: 10.1214/18-AIHP894
    BibTeX: Download

  • Alt J., Erdos L., Krueger T.:
    Local inhomogeneous circular law
    In: Annals of Applied Probability 28 (2018), p. 148-203
    ISSN: 1050-5164
    DOI: 10.1214/17-AAP1302
    BibTeX: Download
  • Erdos L., Krueger T., Renfrew D.:
    Power law decay for systems of randomly coupled differential equations
    In: SIAM Journal on Mathematical Analysis 50 (2018), p. 3271-3290
    ISSN: 0036-1410
    DOI: 10.1137/17M1143125
    BibTeX: Download
  • Huber L., Suzuki R., Frey E., Bausch AR., Krueger T.:
    Emergence of coexisting ordered states in active matter systems
    In: Science 361 (2018), p. 255-258
    ISSN: 0036-8075
    DOI: 10.1126/science.aao5434
    BibTeX: Download

  • Ajanki O., Erdos L., Krueger T.:
    Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half-Plane
    In: Communications on Pure and Applied Mathematics 70 (2017), p. 1672-1705
    ISSN: 0010-3640
    DOI: 10.1002/cpa.21639
    BibTeX: Download
  • Ajanki OH., Erdos L., Krueger T.:
    Universality for general Wigner-type matrices
    In: Probability Theory and Related Fields 169 (2017), p. 667-727
    ISSN: 0178-8051
    DOI: 10.1007/s00440-016-0740-2
    BibTeX: Download
  • Alt J., Erdos L., Krueger T.:
    Local law for random gram matrices
    In: Electronic Journal of Probability 22 (2017), Article No.: 25
    ISSN: 1083-6489
    DOI: 10.1214/17-EJP42
    BibTeX: Download

  • Ajanki OH., Erdos L., Krueger T.:
    Local Spectral Statistics of Gaussian Matrices with Correlated Entries
    In: Journal of Statistical Physics 163 (2016), p. 280-302
    ISSN: 0022-4715
    DOI: 10.1007/s10955-016-1479-y
    BibTeX: Download

  • Knebel J., Weber MF., Krueger T., Frey E.:
    Evolutionary games of condensates in coupled birth-death processes
    In: Nature Communications 6 (2015), Article No.: 6977
    ISSN: 2041-1723
    DOI: 10.1038/ncomms7977
    BibTeX: Download

  • Ajanki O., Erdos L., Krueger T.:
    Local semicircle law with imprimitive variance matrix
    In: Electronic Communications in Probability 19 (2014)
    ISSN: 1083-589X
    DOI: 10.1214/ECP.v19-3121
    BibTeX: Download

  • Knebel J., Krueger T., Weber MF., Frey E.:
    Coexistence and survival in conservative lotka-volterra networks
    In: Physical Review Letters 110 (2013), Article No.: 168106
    ISSN: 0031-9007
    DOI: 10.1103/PhysRevLett.110.168106
    BibTeX: Download
Friedrich-Alexander-Universität
Department of Mathematics

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