Publications and Preprints
- with F. Merkl and P. Tarrès:
Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model. Submitted.
Preprint on arxiv
- with M. Disertori and F. Merkl:
A supersymmetric approach to martingales related to the vertex-reinforced jump process.
ALEA Lat. Am. J. Probab. Math. Stat., 14, 529-555, 2017. Article
- with M. Disertori and F. Merkl:
A comparison of the nonlinear sigma model with general pinning and pinning at one point.
Electronic Journal of probability, 21, Paper no. 27, 1-16, 2016. Article .
- with M. Heydenreich and F. Merkl:
Spontaneous breaking of rotational symmetry in the presence of defects.
Electronic Journal of probability, 19, Paper no. 111, 1-17, 2014. Article .
- with M. Disertori and F. Merkl:
Localization for a nonlinear sigma model in a strip related to vertex reinforced jump processes.
Communications in Mathematical Physics December 2014, Volume 332, Issue 2, 783-825. Article Preprint on arxiv
- with F. Merkl:
Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures.
Electronic Journal of probability, 18, Paper no. 92, 1-20, 2013. Article .
- with F. Merkl:
Correlation inequalities for edge-reinforced random walk.
Electronic Communications in Probability, 16, Paper no. 66, 753-763, 2011. Article - with F. Merkl:
Spontaneous breaking of continuous rotational symmetry in two dimensions.
Electronic Journal of Probability, 14, Paper no. 57, 1705-1726, 2009. Article - with M. Eckhoff:
Uniqueness of the mixing measure for a random walk in a random environment on the positive integers.
Electronic communications in probability, 14, 31-35, 2009. Article - with F. Merkl:
Recurrence of edge-reinforced random walk on a two-dimensional graph.
The Annals of Probability, 37 (2009) 5, 1679-1714. Article - with F. Merkl:
Edge-reinforced random walk on one-dimensional periodic graphs.
Probability Theory and Related Fields, 145 (2009) 3-4, 323-349. Article - with F. Merkl and A. Öry:
The "magic formula" for linearly edge-reinforced random walks.
Statistica Neerlandica (2008) Volume 62, nr. 3, 345-363. Article - with F. Merkl:
Bounding a random environment for two-dimensional edge-reinforced random walk.
Electronic Journal of Probability, 530-565, 2008. Article - with F. Merkl:
A random environment for linearly edge-reinforced random walks on infinite graphs.
Probability Theory and Related Fields, 138 (2007) 1-2, 157-176. Article - with F. Merkl:
Asymptotic behavior of edge-reinforced random walks.
The Annals of Probability, 35 (2007) 1, 115-140. Article - with H. Matzinger:
Retrieving random media.
Probability Theory and Related Fields, 136 (2006), 3, 469-507. Article - with P. Diaconis:
Bayesian analysis for reversible Markov chains.
The Annals of Statistics, 34 (2006), 3, 1270-1292. Article - with F. Merkl:
Linearly edge-reinforced random walks.
Dynamics and Stochastics: Festschrift in the honor of Michael Keane. IMS Lecture Notes-Monograph Series Vol. 48 (2006) 66-77. Article - On the recurrence of edge-reinforced random walk on Z x G.
Probability Theory and Related Fields 135 (2006) 2, 216-264. Article - with H. Matzinger:
Finding blocks and other patterns in a random coloring of Z.
Random Structures and Algorithms 28 (2006) 1, 37-75. Article - with F. Merkl:
Edge-reinforced random walk on a ladder.
The Annals of Probability 33 (2005) 6, 2051-2093. Article - with T.M. Liggett:
An Infinite Stochastic Model of Social Network Formation.
Stochastic Processes and their Applications 113 (2004) 1, 65-80. Article - How edge-reinforced random walk arises naturally.
Probability Theory and Related Fields 126 (2003) 2, 243-260. Article - with H. Matzinger:
Reconstructing a piece of scenery with polynomially many observations.
Stochastic Processes and their Applications 107 (2003) 2, 289-300. Article - with H. Matzinger:
Reconstructing a random scenery observed with random errors along a random walk path.
Probability Theory and Related Fields 125 (2003) 4, 539-577. Article - with Matthias Löwe and Franz Merkl:
Moderate Deviations for longest increasing subsequences: The lower tail.
Journal of Theoretical Probability 15 (2002), no. 4, 1031-1047. Article - with M.S. Keane:
Tubular recurrence.
Acta Mathematica Hungarica 97 (2002), no. 3, 207-221. Article - with M.S. Keane:
Edge-reinforced random walk on finite graphs.
In P. Clement, F. den Hollander, J. van Neerven, and B. de Pagter, editors, Infinite dimensional stochastic analysis, pages 217-234. Koninklijke Nederlandse Akademie van Wetenschappen, 2000. Article
