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Prof. Dr. Jan Nagel

Prof. Dr. Jan Nagel
Raum M 628
Telefon (0231) 755-5935
(0231) 755-3062 (Sekretariat)
Telefax (0231) 755-3064
E-mail

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Research Interests

  • Random Walks in Random Environments
  • Random Matrices
  • Random Graphs

Lehrveranstaltungen Sommersemester 2025

  • Lineare Algebra I
  • Markovketten
  • Oberseminar Stochastik und Analysis

Weitere Lehrveranstaltungen 

  • Perkolationstheorie (SS 2024)
  • Markov-Ketten (SS 2022)
  • Zufällige Matrizen (WS 2021/2022)
  • Markov-Prozesse (SS 2021)
  • Stochastik II (WS 2020/2021, WS 2023/24)
  • Stochastik I (SS 2020, SS 2023)
  • Stochastische Analysis und Finanzstochastik (WS 2019/2020, SS 2024)
  • Risikotheorie (SS 2019, WS 2022/23)
  • Random Matrices and Random Schrödinger Operators (SS 2019)

Preprints

  • Nonstandard large and moderate deviations for the Laguerre ensemble
    arXiv:2503.15347 [math.PR]
    H. Götz and J. Nagel

  • Central limit theorem for a random walk on Galton-Watson trees with random conductances
    arXiv:2410.08768 [math.PR]
    T. Glatzel and J. Nagel

  • On some gateways between sum rules
    arXiv:2301.09473 [math.PR]
    F. Gamboa, J. Nagel and A. Rouault


Peer-Reviewed Articles

  • Sum rules via large deviations: extension to polynomial potentials and the multi-cut regime
    Journal of Functional Analysis, Vol. 282 (3), 109307 (2022)
    F. Gamboa, J. Nagel and A. Rouault

  • The speed of random walk on Galton-Watson trees with vanishing conductances
    Electronic Journal of Probability, Vol. 26, 1-19 (2021)
    T. Glatzel and J. Nagel

  • A functional CLT for partial traces of random matrices
    Journal of Theoretical Probability, Vol. 34, 953-974 (2021)
    J. Nagel


  • Random walk on barely supercritical branching random walk
    Probability Theory and Related Fields, Vol. 177, 1-53 (2020)
    R. van der Hofstad, T. Hulshof and J. Nagel

  • Modeling of viscoelastic structures with random material properties using time-separated stochastic mechanics
    International Journal for Numerical Methods in Engineering, Vol. 121 (2), 308-333 (2020)
    P. Junker and J. Nagel

  • Sum rules and large deviations for spectral matrix measures in the Jacobi ensemble
    Random Matrices: Theory and Applications, DOI: 10.1142/S2010326321500088 (2019)
    F. Gamboa, J. Nagel and A. Rouault

  • A relaxation approach to modeling the stochastic behavior of elastic materials
    European Journal of Mechanics-A/Solids, Vol. 73, 192-203 (2019)
    P. Junker and J. Nagel

  • Sum rules and large deviations for spectral matrix measures
    Bernoulli, Vol. 25 (1), 712-741 (2019)
    F. Gamboa, J. Nagel and A. Rouault

  • The speed of biased random walk among random conductances
    Annales de l'Institut Henri Poincaré: Probabilités et Statistiques, Vol. 55 (2), 862-881 (2019)
    N. Berger, N. Gantert and J. Nagel

  • An analytical approach to modeling the stochastic behavior of visco-elastic materials
    Journal of Applied Mathematics and Mechanics, DOI: 10.1002/zamm.201700257 (2018)
    P. Junker and J. Nagel

  • Einstein relation and steady states for the random conductance model
    Annals of Probability, Vol. 45 (4), 2533-2567 (2017)
    N. Gantert, X. Guo and J. Nagel

  • Sum rules and large deviations for spectral measures on the unit circle
    Random Matrices: Theory and Applications, DOI: 10.1142/S2010326317500058 (2017)
    F. Gamboa, J. Nagel and A. Rouault

  • Sum rules via large deviations
    Journal of Functional Analysis, Vol. 270 (2), 509-559 (2016)
    F. Gamboa, J. Nagel and A. Rouault

  • Nonstandard limit theorems and large deviations for the Jacobi beta ensemble
    Random Matrices: Theory and Applications, DOI: 10.1142/S2010326314500129 (2014)
    J. Nagel

  • Distributions on matrix moment spaces
    Journal of Multivariate Analysis, Vol. 131, 17-31 (2014)
    H. Dette, M. Guhlich and J. Nagel

  • Reconstructing the environment seen by a RWRE
    Electronic Communications in Probability, Vol. 19 (27), 1-9 (2014)
    N. Gantert and J. Nagel

  • Distributions on unbounded moment spaces and random moment sequences
    Annals of Probability, Vol. 40, 2690-2704 (2012)
    H. Dette and J. Nagel

  • Large deviations for random matricial moment problems
    Journal of Multivariate Analysis, Vol. 106, 17-35 (2012)
    F. Gamboa, J. Nagel, A. Rouault and J. Wagener

  • Matrix measures, random moments and Gaussian ensembles
    Journal of Theoretical probability, DOI: 10.1007/s10959-011-0370-7 (2011)
    H. Dette and J. Nagel

  • Random block matrices generalizing the classical Jacobi and Laguerre ensemble
    Journal of Multivariate Analysis, Vol. 101, 1884-1897 (2010)
    H. Dette, M. Guhlich and J. Nagel

  • Some asymptotic properties of the spectrum of the Jacobi ensemble
    SIAM Journal on Mathematical Analysis, Vol. 41, 1491-1507 (2009)
    H. Dette and J. Nagel


Proceedings

  • Time-separated stochastic mechanics for simulating the visco-elastic response of construction parts
    Proceedings in Applied Mathematics and Mechanics, PAMM, Vol. 20, e202000073 (2021)
    P. Junker and J. Nagel

  • An analytical approach to the accurate modeling of visco-elasticmaterials with stochastic microstructure
    Proceedings in Applied Mathematics and Mechanics, PAMM, Vol. 18, e201800045 (2018)
    P. Junker and J. Nagel

  • Modeling the behavior of elastic materials with stochastic microstructure
    Conference on Computational Plasticity, COMPLAS, 296-307 (2017)
    P. Junker and J. Nagel

  • On a relaxation approach tomodeling the stochastic behavior of elastic materials
    Proceedings in Applied Mathematics and Mechanics, PAMM, Vol. 17, 419-420 (2017)
    P. Junker and J. Nagel