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2022
- Variance of voltages in a lattice Coulomb gas. J. Stat. Phys. 186 (1), 2022, Paper No. 16, 12 mehr… Volltext ( DOI )
- The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions. Latin American Journal of Probability and Mathematical Statistics 19 (2), 2022, 1629 mehr… Volltext ( DOI )
2021
- Random interlacements for vertex-reinforced jump processes. Ann. Inst. Henri Poincaré Probab. Stat. 57 (2), 2021, 1058--1080 mehr… Volltext ( DOI )
2019
- Dislocation lines in three-dimensional solids at low temperature. Ann. Henri Poincaré 20 (9), 2019, 3019--3057 mehr… Volltext ( DOI )
- Martingales and some generalizations arising from the supersymmetric hyperbolic sigma model. ALEA Lat. Am. J. Probab. Math. Stat. 16 (1), 2019, 179--209 mehr… Volltext ( DOI )
- Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model. Probab. Theory Related Fields 173 (3-4), 2019, 1349--1387 mehr… Volltext ( DOI )
2017
- A supersymmetric approach to martingales related to the vertex-reinforced jump process. ALEA Lat. Am. J. Probab. Math. Stat. 14 (1), 2017, 529--555 mehr… Volltext ( DOI )
2016
- A comparison of a nonlinear sigma model with general pinning and pinning at one point. Electron. J. Probab. 21, 2016, Paper No. 27, 16 mehr… Volltext ( DOI )
2014
- Localization for a nonlinear sigma model in a strip related to vertex reinforced jump processes. Comm. Math. Phys. 332 (2), 2014, 783--825 mehr… Volltext ( DOI )
- Spontaneous breaking of rotational symmetry in the presence of defects. Electron. J. Probab. 19, 2014, no. 111, 17 mehr… Volltext ( DOI )
2013
- Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures. Electron. J. Probab. 18, 2013, no. 92, 20 mehr… Volltext ( DOI )
2011
- Correlation inequalities for edge-reinforced random walk. Electron. Commun. Probab. 16, 2011, 753--763 mehr… Volltext ( DOI )
2009
- Uniqueness of the mixing measure for a random walk in a random environment on the positive integers. Electron. Commun. Probab. 14, 2009, 31--35 mehr… Volltext ( DOI )
- Edge-reinforced random walk on one-dimensional periodic graphs. Probab. Theory Related Fields 145 (3-4), 2009, 323--349 mehr… Volltext ( DOI )
- Recurrence of edge-reinforced random walk on a two-dimensional graph. Ann. Probab. 37 (5), 2009, 1679--1714 mehr… Volltext ( DOI )
- Spontaneous breaking of continuous rotational symmetry in two dimensions. Electron. J. Probab. 14, 2009, no. 57, 1705--1726 mehr… Volltext ( DOI )
2008
- Bounding a random environment for two-dimensional edge-reinforced random walk. Electron. J. Probab. 13, 2008, no. 19, 530--565 mehr… Volltext ( DOI )
- The `magic formula' for linearly edge-reinforced random walks. Statist. Neerlandica 62 (3), 2008, 345--363 mehr… Volltext ( DOI )
2007
- A random environment for linearly edge-reinforced random walks on infinite graphs. Probab. Theory Related Fields 138 (1-2), 2007, 157--176 mehr… Volltext ( DOI )
- Asymptotic behavior of edge-reinforced random walks. Ann. Probab. 35 (1), 2007, 115--140 mehr… Volltext ( DOI )
2006
- Bayesian analysis for reversible Markov chains. Ann. Statist. 34 (3), 2006, 1270--1292 mehr… Volltext ( DOI )
- Finding blocks and other patterns in a random coloring of $\Bbb Z$. Random Structures Algorithms 28 (1), 2006, 37--75 mehr… Volltext ( DOI )
- Retrieving random media. Probab. Theory Related Fields 136 (3), 2006, 469--507 mehr… Volltext ( DOI )
- Linearly edge-reinforced random walks. In: Dynamics & stochastics. Inst. Math. Statist., Beachwood, OH, 2006, 66--77 mehr… Volltext ( DOI )
- On the recurrence of edge-reinforced random walk on $\Bbb Z\times G$. Probab. Theory Related Fields 135 (2), 2006, 216--264 mehr… Volltext ( DOI )
2005
- Edge-reinforced random walk on a ladder. Ann. Probab. 33 (6), 2005, 2051--2093 mehr… Volltext ( DOI )
2004
- An infinite stochastic model of social network formation. Stochastic Process. Appl. 113 (1), 2004, 65--80 mehr… Volltext ( DOI )
2003
- Reconstructing a random scenery observed with random errors along a random walk path. Probab. Theory Related Fields 125 (4), 2003, 539--577 mehr… Volltext ( DOI )
- Reconstructing a piece of scenery with polynomially many observations. Stochastic Process. Appl. 107 (2), 2003, 289--300 mehr… Volltext ( DOI )
- How edge-reinforced random walk arises naturally. Probab. Theory Related Fields 126 (2), 2003, 243--260 mehr… Volltext ( DOI )
2002
- Tubular recurrence. Acta Math. Hungar. 97 (3), 2002, 207--221 mehr… Volltext ( DOI )
- Moderate deviations for longest increasing subsequences: the lower tail. J. Theoret. Probab. 15 (4), 2002, 1031--1047 mehr… Volltext ( DOI )
2000
- Edge-reinforced random walk on finite graphs. In: Infinite dimensional stochastic analysis (Amsterdam, 1999). R. Neth. Acad. Arts Sci., Amsterdam, 2000, 217--234 mehr…