Prof. Dr. Matthias Meiners
Prof. Dr. Matthias Meiners

Prof. Dr. Matthias Meiners
Professur für Stochastik
Mathematisches Institut
Arndtstr. 2
35392 Gießen
Raum: 216
Tel.: 0641 99-32100
Fax: 0641 99-32179
Sekretariat: 0641 99-32171
Forschung
Research interests
Asymptotic statistics, branching processes, limit theorems, random walk (in random environment), regenerative processes, renewal theory, statistical mechanics
Publications - Matthias Meiners
2024
- Active Brownian particle under stochastic orientational resetting
joint work with Yanis Baouche, Thomas Franosch and Christina Kurzthaler
New J. Phys. 26 (2024), Paper No. 073041, 20 pp. article - Asymptotic fluctuations in supercritical Crump-Mode-Jagers processes
joint work with Alexander Iksanov and Konrad Kolesko
Ann. Probab. 52 (2024), no. 4, 1538-1606 article arxiv
2023
- Speed function for biased random walks with traps
joint work with Volker Betz and Ivana Tomic
Statist. Probab. Lett. 195 (2023). article
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, Yanis Baouche, Volker Betz, John D. Biggins, Dennis Bohle, Dariusz Buraczewski, Thomas Franosch, Nina Gantert, Alexander M. Iksanov, Konrad Kolesko, Christina Kurzthaler Jan-Erik Lübbers, Alexander Marynych, Sebastian Mentemeier, Sebastian Müller, Ivana Tomic