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Prof. Dr. Matthias Meiners

Matthias Meiners

Professor of Stochastics

 

Contact

Mathematisches Institut

Arndtstraße 2
35392 Gießen
Room 216

Phone: 0641 99-32100
Fax: 0641 99-32179
Secretary: 0641 99-32171

Email: Matthias.Meiners@math.uni-giessen.de
Group: Stochastics


Research interests

Asymptotic statistics, branching processes, limit theorems, random walk (in random environment), regenerative processes, renewal theory, statistical mechanics


Short CV

  • since 09/2020: Professor of Stochastics, University of Gießen, Germany
  • 02/2017 - 08/20: Professor of Stochastics, University of Innsbruck, Austria
  • 09/2013 - 01/17: Assistant professor of Probability Theory, Technical University of Darmstadt, Germany
  • 01/09 - 08/13: Postdoctoral researcher at the Universities of Münster and Uppsala (Sweden), resp.
  • 02/06 - 12/08: PhD student in Mathematics, University of Münster, Germany
  • 10/01 - 01/06: Student of Mathematics, University of Münster, Germany

 


Publications - Matthias Meiners

Preprints

  • Asymptotic fluctuations in supercritical Crump-Mode-Jagers processes
    joint work with Alexander Iksanov and Konrad Kolesko
    Submitted. arxiv

2021

  • Gaussian fluctuations and a law of the iterated logarithm for Nerman's martingale in the supercritical general branching process
    joint work with Alexander Iksanov and Konrad Kolesko
    Electron. J. Probab. Volume 26 (2021), paper no. 160, 22 pp. projecteuclid
  • A fundamental problem of hypothesis testing with finite inventory in e-commerce
    joint work with Dennis Bohle and Alexander Marynych
    Appl. Stoch. Models Bus. Ind. Volume 37 (2021), Issue 3, 454-474, Layman's abstract onlinewiley
  • Self-similar solutions to kinetic-type evolution equations: beyond the boundary case
    joint work with Dariusz Buraczewski and Konrad Kolesko
    Electron. J. Probab. Volume 26 (2021), paper no. 2, 18 pp. projecteuclid

2020

  • Fluctuations of Biggins' martingales at complex parameters
    joint work with Konrad Kolesko and Alexander Iksanov
    Ann. Inst. Henri Poincaré Probab. Stat. 56 (2020), no. 4, 2445–2479. arxiv projecteuclid

2019

  • Stable-like fluctuations of Biggins' martingales
    joint work with Konrad Kolesko and Alexander Iksanov
    Stochastic Process. Appl. 129 (2019), 4480-4499. arxiv sciencedirect
  • Einstein relation for random walk in a one-dimensional percolation model
    joint work with Nina Gantert and Sebastian Müller
    J. Stat. Phys. 176 (2019), 737-772. arxiv springerlink
  • The speed of critically biased random walk in a one-dimensional percolation model.
    joint work with Jan-Erik Lübbers
    Electron. J. Probab., Vol. 24, paper no. 23, 1-29. ecpejp

2018

  • Regularity of the speed of biased random walk in a one-dimensional percolation model
    joint work with Nina Gantert and Sebastian Müller
    J. Stat. Phys. 170 (2018), 1123-1160. springerlink

2017

  • Solutions to complex smoothing equations
    joint work with Sebastian Mentemeier
    Probab. Theory Related Fields 168 (2017), 199–268. arxiv springerlink
  • Convergence of complex martingales in the branching random walk: the boundary
    joint work with Konrad Kolesko
    Electron. Commun. Probab. 15 (2017). arxiv ecpejp
  • Asymptotics of random processes with immigration II: convergence to stationarity
    joint work with Alexander Iksanov and Alexander Marynych
    Bernoulli. 23 (2017), 1279-1298. arxiv projecteuclid
  • Asymptotics of random processes with immigration I: scaling limits
    joint work with Alexander Iksanov and Alexander Marynych
    Bernoulli. 23 (2017), 1233-1278. arxiv projecteuclid

2016

  • Moment convergence of first-passage times in renewal theory
    joint work with Alexander Iksanov and Alexander Marynych
    Statist. Probab. Lett. 119 (2016), 134-143. arxiv sciencedirect

2015

  • Exponential moments of first passage times and related quantities for Lévy processes
    joint work with Frank Aurzada and Alexander Iksanov
    Math. Nachr. 288 (2015), No. 17–18, 1921–1938. arxiv onlinelibrary.wiley
  • Fixed points of multivariate smoothing transforms with scalar weights
    joint work with Alexander Iksanov
    ALEA 12 (2015), 69-114. ALEA
  • Power and exponential moments of the number of visits and related quantities for perturbed random walks
    joint work with Gerold Alsmeyer and Alexander Iksanov
    J. Theor. Probab. 28 (2015), Issue 1, 1-40. arxiv springerlink
  • Rate of convergence in the law of large numbers for supercritical general multi-type branching processes
    joint work with Alexander Iksanov
    Stochastic Process. Appl. 125 (2015), no. 2, 708–738. arxiv sciencedirect

2014

  • Limit theorems for renewal shot noise processes with eventually decreasing response functions
    joint work with Alexander Iksanov and Alexander Marynych
    Stochastic Process. Appl. 124 (2014), no. 6 , 2132–2170. sciencedirect arxiv

2013

  • Fixed points of the smoothing transform: two-sided solutions
    joint work with Gerold Alsmeyer
    Probab. Theory Related Fields 155 (2013), no. 1-2, 165–199. arxiv springerlink

2012

  • The functional equation of the smoothing transform
    joint work with Gerold Alsmeyer and J.D. Biggins
    Ann. Probab. 40 (2012), no. 5, 2069-2105. pdf arxiv projecteuclid
  • Fixed points of inhomogeneous smoothing transforms
    joint work with Gerold Alsmeyer
    J. Difference Equ. Appl. 18 (2012), no. 8, 1287–1304. arxiv tandfonline

2010

  • Exponential moments of first passage times and related quantities for random walks
    joint work with Alexander Iksanov
    Electron. Commun. Probab. 15 (2010), 365–375. arxiv ecpejp
  • An almost-sure renewal theorem for branching random walks on the line
    J. Appl. Probab. 47 (2010), no. 3, 811–825. Preprint projecteuclid
  • Exponential rate of almost-sure convergence of intrinsic martingales in supercritical branching random walks
    joint work with Alexander Iksanov
    J. Appl. Probab. 47 (2010), no. 2, 513–525. arxiv projecteuclid

2009

  • A min-type stochastic fixed-point equation related to the smoothing transformation
    joint work with Gerold Alsmeyer
    Theory Stoch. Process. 15 (2009), no. 2, 19–41. pdf arxiv
  • Weighted branching and a pathwise renewal equation
    Stochastic Process. Appl. 119 (2009), no. 8, 2579–2597. sciencedirect

2008

  • A note on the transience of critical branching random walks on the line
    joint work with Gerold Alsmeyer
    Fifth Colloquium on Mathematics and Computer Science (2008), 421–435. pdf

2007

  • A stochastic maximin fixed-point equation related to game tree evaluation
    joint work with Gerold Alsmeyer
    J. Appl. Probab. 44 (2007), no. 3, 586–606. projecteuclid

 

Coauthors

Gerold Alsmeyer, Frank Aurzada, John D. Biggins, Dennis Bohle, Dariusz Buraczewski, Nina Gantert, Alexander M. Iksanov, Konrad Kolesko, Jan-Erik Lübbers, Alexander Marynych, Sebastian Mentemeier, Sebastian Müller