Prof. Dr. Nina Gantert

Prof. Dr. Nina Gantert Institute of Mathematical Statistics Einsteinstrasse 62 48149 Münster Germany Phone: 0049 -(0)251-83-32671 E-mail: gantert@math.uni-muenster.de Room 218 Area of research Probability theory, in particular: stochastic processes, large deviations, random media

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Group

Preprints and publications

Note: Unless otherwise stated, these are not final versions but only preprints. Final published versions differ. The copyright of the final versions has been assigned to the respective journal or publisher.

• Random walks on Galton-Watson trees with random conductances.
  (with Sebastian Müller, Serguei Popov and Marina Vachkovskaia)
  Preprint.

• Einstein relation for reversible diffusions in random environment.
  (with Pierre Mathieu and Andrey Piatnitski)
  Preprint.

• Trap models with vanishing drift: Scaling limits and ageing regimes.
  (with Peter Mörters and Vitali Wachtel)
  ALEA, Vol 7 (2010), S. 477–501.

• Maximal displacement for bridges of random walk in a random environment.
  (with Jonathon Peterson)
  To appear in: Annales de l'Institut Henri Poincaré Prob. et Stat.
  

• Survival and growth of a branching random walk in random environment.
  (with Christian Bartsch and Michael Kochler)
  Markov Processes and Related Fields, Vol 15 (2009), S. 525–548.

• Asymptotics for the survival probability in a killed branching random walk.
  (with Yueyun Hu and Zhan Shi)
  Annales de l'Institut Henri Poincaré Prob. et Stat., Vol 47, No 1 (2011), S. 111–129.

• Survival of branching random walks in random environment.
  (with Sebastian Müller, Serguei Popov and Marina Vachkovskaia)
  Journal of Theoretical Probability 23 (2010), pp. 1002–1014.

• Biased random walks on Galton-Watson trees with leaves.
  (with Gérard Ben Arous, Alexander Fribergh and Alan Hammond)
  To appear in: Annals of Probability.
  

• On slowdown and speedup of transient random walk in random environment.
  (with Alexander Fribergh und Serguei Popov)
  Probability Theory and Related Fields 147 (2010), pp. 43–88.

• Survival time of random walk in random environment among soft obstacles.
  (with Serguei Popov und Marina Vachkovskaia)
  Electronic Journal of Probability 14 (2009), pp. 569–593.

• Recurrence for the frog model with drift on Z.
  (with Philipp Schmidt)
  Markov Processes and Related Fields 15 (2009), pp. 51–58.

• The infinite valley for a recurrent random walk in random environment.
  (with Yuval Peres and Zhan Shi)
  Annales de l'Institut Henri Poincaré Prob. et Stat. Vol 46, No 2 (2010), pp. 525–536.

• Valleys and the maximal local time for random walk in random environment.
  (with Amir Dembo, Yuval Peres and Zhan Shi)
  Probability Theory and Related Fields 137 (2007), pp. 443–473.

• Annealed deviations of random walk in random scenery.
  (with Wolfgang König and Zhan Shi)
  Annales de l'Institut Henri Poincaré Prob. et Stat., Vol 43, No 1 (2007), pp. 147–176.

• The critical Branching Markov Chain is transient.
  (with Sebastian Müller)
  Markov Processes and Related Fields 12 (2006), pp. 805–814.

• Deviations of a random walk in a random scenery with stretched exponential tails.
  (with Remco van der Hofstad and Wolfgang König)
  Stochastic Processes and their Applications 116 (2006), pp. 480–492.

• The voter model with antivoter bonds.
  (with Matthias Löwe and Jeffrey Steif)
  Annales de l'Institut Henri Poincaré, Prob. et Stat., Vol 41, No 4 (2005), pp. 767–780.

• The speed of biased random walk on percolation clusters.
  (with Noam Berger and Yuval Peres)
  Probability Theory and Related Fields 126 (2003), pp. 221–242.

• Large deviations for random walks in random environment with holding times.
  (with Amir Dembo and Ofer Zeitouni)
  Annals of Probability, Vol 32, No 1 (2004), pp. 996–1029.

• Many visits to a single site for a transient random walk in random environment.
  (with Zhan Shi)
  Stochastic Processes and their Applications 99 (2002), pp. 159–176.

• Large deviations for random walks on Galton-Watson trees: averaging and uncertainty.
  (with Amir Dembo, Yuval Peres and Ofer Zeitouni)
  Probability Theory and Related Fields, Vol 122 (2002), pp. 241–288.

• Subexponential tail-asymptotics for a random walk with randomly placed one-way nodes.
  Annales de l'Institut Henri Poincaré, Prob. et Stat., Vol 38, No 1 (2002), pp. 687–704.

• Galton-Watson trees as random environments.
  In: Milieux aleatoires, Panoramas et syntheses, No 12 (2001), edited by Francis Comets and Étienne Pardoux, pp. 37–51.

• The maximum of a branching random walk with semiexponential increments.
  Annals of Probability, Vol 28, No 3 (2000), pp. 1219–1229.

• Quenched, annealed and functional large deviations for one-dimensional random walk in random environment.
  (with Francis Comets and Ofer Zeitouni)
  Probability Theory and Related Fields, Vol 118 (2000), pp. 65–114.

• A note on logarithmic tail asymptotics and mixing.
  Statistics and Probability Letters 49 (2000), pp. 113–118.

• Large deviations for one-dimensional random walk in a random environment - a survey.
  (with Ofer Zeitouni)
  Random Walks, Bolyai Mathematical Studies Vol 8, Editors: P. Revesz and B. Toth, (1999), pp. 127–165.

• Functional Erdös-Renyi laws for semiexponential random variables.
  Annals of Probability, Vol 26, No 3 (1998), pp. 1356–1369.

• Quenched sub-exponential tail-estimates for one-dimensional random walk in random environment.
  (with Ofer Zeitouni)
  Communications in Mathematical Physics, 194 (1998), pp. 177–190.

• Large and moderate deviations for the local time of a recurrent Markov chain.
  (with Ofer Zeitouni)
  Annales de l'Institut Henri Poincaré, Prob. et Stat., Vol 34, No 5 (1998), pp. 687–704.

• Schrödinger bridges and entropy minimization in infinite dimensions.
  (with Hans Föllmer)
  Annals of Probability, Vol 25, No 2 (1997), pp. 901–926.

• Large deviation principle for random fields on a binary tree.
  Trees, Birkhäuser Progress in Probability. Editors: B. Chauvin, S. Cohen, A. Rouault (1996), pp. 141–147.

• Self-similarity of Brownian motion and a large deviation principle for random fields on a binary tree.
  Probability Theory and Related Fields, Vol 98 (1994), pp. 7–20.

• Laws of large numbers for the annealing algorithm.
  Stochastic Processes and their Applications 35 (1990), pp. 309–313.

Coauthors

Supervised master theses (in German)

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