Note: Unless otherwise stated, these are not final versions but only preprints. Published versions differ. The copyright of the final versions has been assigned to the respective journal or publisher
- Large deviation principles for lacunary sums
(with Christoph Aistleitner, Zakhar Kabluchko , Joscha Prochno and Kavita Ramanan )
Trans. Amer. Math. Soc. 376 (2023), Paper No. 1, pp. 507–553. - The extremal point process for branching random walk with stretched exponential displacements
(with Piotr Dyszewski)
Preprint - (with Achim Klenke)J. Stat. Phys. 188 (2022), No. 3, Paper No. 27, pp. 20
- Sharp concentration for the largest and smallest fragment in a k-regular self-similar fragmentation(with Piotr Dyszewski, Samuel G.G. Johnston, Joscha Prochno and Dominik Schmid)Ann. Probab. 50 (2022), Paper No. 3, pp. 1173–1203
- Large Deviation Principles for Lacunary Sums
(with Christoph Aistleitner, Zakhar Kabluchko, Joscha Prochno and Kavita Ramanan)
Trans. Amer. Math. Soc. 376 (2023), Paper No. 1, pp. 507–553. - The TASEP on Galton-Watson trees
(with Nicos Georgiou and Dominik Schmid)
Electron. J. Probab. 26 (2021), Paper No. 159, pp. 38. - The maximum of a branching random walk with stretched exponential tails
(with Piotr Dyszewski and Thomas Höfelsauer)
Preprint - Mixing times for the simple exclusion process with open boundaries
(with Evita Nestoridi and Dominik Schmid)
Preprint - Ancestral lineages in spatial population models with local regulation
(with Matthias Birkner)
Probabilistic structures in evolution, pp. 291–310, EMS Ser. Congr. Rep., EMS Press, Berlin (2021). - Absolute continuity of the martingale limit in branching processes in random environment
(with Ewa Damek and Konrad Kolesko)
Electron. Commun. Probab. 24 (2019), Paper No. 42 - Strictly weak consensus in the uniform compass model on Z
(with Markus Heydenreich and Timo Hirscher)
Bernoulli 26 (2020),Paper No. 2, pp. 1269–1293. - Ergodicity of some dynamics of DNA sequences
(with Ellen Saada and Mikael Falconnet)
Markov Process. Related Fields 26 (2020), Paper No. 4, pp. 567–612 - The speed of the tagged particle in the exclusion process on Galton-Watson trees
(with Dominik Schmid)
Electron. J. Probab. 25 (2020), Paper No. 71, 27 pp. - Einstein relation for random walk in a one-dimensional percolation model
(with Matthias Meiners and Sebastian Müller)
J. Stat. Phys. 176 (2019), Paper No. 4, pp. 737–772. - Coalescing directed random walks on the backbone of a 1 +1-dimensional oriented percolation cluster converge to the Brownian web
(with Sebastian Steiber and Matthias Birkner)
ALEA Lat. Am. J. Probab. Math. Stat. 16 (2019), Paper No. 2, pp. 1029–1054. - Arbitrary many walkers meet infinitely often in a subballistic random environment
(with Alexis Devulder and Françoise Pène)
Electronic Journal of Probability 2019, Vol. 24, Paper No. 100, 1-25. - Limit theorems for the tagged particle in exclusion processes on regular trees
(with Dayue Chen, Peng Chen and Dominik Schmid)
Electron. Commun. Probab. Volume 24 (2019), Paper No. 2, pp. 10 - Collisions of several walkers in recurrent random environments
(with Alexis Devulder and Françoise Pène)
Electron. J. Probab. 23 (2018), Paper No. 90, pp. 1-34 - On the range of a two-dimensional conditioned simple random walk
(with Serguei Popov and Marina Vachkovskaia)
Ann. H. Lebesgue 2 (2019), pp. 349–368. - Large deviations for the maximum of a branching random walk
(with Thomas Höfelsauer)
Electron. Commun. Probab. Vol. 23 (2018), Paper No. 34, pp. 1-12 - Recurrence and Transience of Frogs with Drift on Zd
(with Christian Döbler, Thomas Höfelsauer, Serguei Popov and Felizitas Weidner)
Electron. J. Probab. Vol. 23 (2018), Paper No. 88, pp. 1-23 - Einstein relation and linear response in one-dimensional Mott variable-range hopping
(with Alessandra Faggionato and Michele Salvi)
Ann. Inst. Henri Poincaré Probab. Stat. 55 (2019), Paper No. 3, pp 1477–1508 - The speed of biased random walk among random conductances
(with Noam Berger and Jan Nagel)
Annales de l’Institut Henri Poincaré-Prob. et Stat. 55 (2019), Paper No. 2, pp 862–881 - Regularity of the speed of biased random walk in a one-dimensional percolation model
(with Matthias Meiners and Sebastian Müller)
J. Stat. Phys. 170 (2018), no. 6, 1123-1160. pp.82B41. - A branching random walk among disasters
(with Stefan Junk)
Electron. J. Probab. Vol. 22 (2017), Paper No. 67, pp. 1-34. - The velocity of 1D Mott variable range hopping with external field
(with Alessandra Faggionato and Michele Salvi)
Annales de l’Institut Henri Poincaré - Prob. et Stat. Vol. 54 (2018), Paper No. 3, pp. 1165–1203 - Large deviations for random projections of lp balls
(with Steven Soojin Kim and Kavita Ramanan)
Ann. Probab. Vol. 45 (2017), no. 6B, pp. 4419–4476. - Einstein relation and steady states for the random conductance model
(with Xiaoqin Guo and Jan Nagel)
Ann. Probab. Vol. 45 (2017), no. 4, pp. 2533–2567. - Cramer's Theorem is atypical
(with Steven Soojin Kim und Kavita Ramanan)
Mathematical sciences, pp. 253–270, Assoc. Women Math. Ser., 6, Springer, [Cham], 2016 - Routing on trees
(with Maria Deijfen)
J. Appl. Probab. Vol. 53 (2016), no. 2, pp. 475-488 - On the recurrence of some random walks in random environment
(with Michael Kochler und Francoise Pène)
ALEA Lat. Am. J. Probab. Math. Stat./, Vol 11, No. 1, (2014), pp. 483-502 - Large deviations for weighted sums of stretched exponential random variables
(with Kavita Ramanan und Franz Rembart)
Electronic Communications in Probability,Vol 19 (2014), no. 41, pp. 1-14 - Reconstructing the environment seen by a RWRE
(with Jan Nagel)
Electronic Communications in Probability, Vol.19 (2014), no. 27, pp. 1-9 - Galton-Watson trees with vanishing martingale limit
(with Nathanaël Berestycki, Peter Mörters and Nadia Sidorova)
Journal of Statistical Physics. 155 (2014), no. 4, pp. 737 - 762. - A conditional quenched CLT for random walks among random conductances on Zd
(with Christophe Gallesco, Serguei Popov and Marina Vachkovskaia)
Markov Processes and Related Fields, Vol 20 (2014), no. 2, pp. 287-328. - Cutoff and mixing time for transient random walks in random environment
(with Thomas Kochler)
ALEA Lat. Am. J. Probab. Math. Stat., Vol. 10 (2013), no. 1,pp. 449–484 - Directed random walk on the backbone of an oriented percolation cluster
(with Matthias Birkner, Jiří Černý and Andrej Depperschmidt)
Electronic Journal of Probability, Vol. 18 (2013), no. 80, pp. 1–35. - Random walks on Galton-Watson trees with random conductances
(with Sebastian Müller, Serguei Popov and Marina Vachkovskaia)
Stochastic processes and their applications, Vol. 122 (2012), no. 4, pp. 1652–1671. - Einstein relation for reversible diffusions in random environment
(with Pierre Mathieu and Andrey Piatnitski)
Communications on Pure and Applied Mathematics Vol. 65, (2012) Vol. LXV, no. 2,pp. 187–228. - Biased random walks on Galton-Watson trees with leaves
(with Gérard Ben Arous, Alexander Fribergh and Alan Hammond)
Annals of Probability, Vol. 40 (2012), no 1, pp. 280–338. - Maximal displacement for bridges of random walk in a random environment
(with Jonathon Peterson)
Annales de l'Institut Henri Poincaré, Prob. et Stat. Vol. 47, No 3 (2011), pp. 663–678. - 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), pp. 111–129. - Survival of branching random walks in random environment
(with Sebastian Müller, Serguei Popov and Marina Vachkovskaia)
Journal of Theoretical Probability, Vol 23, No 4 (2010), pp. 1002–1014. - On slowdown and speedup of transient random walk in random environment
(with Alexander Fribergh and Serguei Popov)
Probability Theory and Related Fields 147 (2010), pp. 43–88. - Trap models with vanishing drift: Scaling limits and ageing regimes
(with Peter Mörters and Vitali Wachtel)
ALEA, Vol 7 (2010), pp. 477–501. - 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. - 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), pp. 525–548. - Survival time of random walk in random environment among soft obstacles
(with Serguei Popov and 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, Vol 15 (2009), pp. 51–58. - 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, Vol 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.
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. - Entropy minimization and Schrödinger processes in infinite dimensions
(with Hans Föllmer)
Annals of Probability, Vol 25, No 2 (1997), pp. 901–926. - Large deviation principle for random fieldson 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. - An inversion of Strassen's law of the iterated logarithm for small time
Ann. Probab. 21 (1993), no. 2, 1045–1049. - Laws of large numbers for the annealing algorithm.
Stochastic Processes and their Applications 35 (1990), pp. 309–313.