Research

The following papers and research visits are supported by the Leverhulme International Network Grant 'Laplacians, Random Walks, Bose Gas, Quantum Spin Systems'.

Title: A numerical study of the 3D random interchange and random loop models

Authors: A Barp, EG Barp, F-X Briol, D Ueltschi

Link: https://arxiv.org/abs/1505.00983


Title: Heat flow in Riemannian manifolds with non-negative Ricci curvature.

Authors: M van den Berg

Link: https://arxiv.org/abs/1506.07063


Title: Heat content and in-radius for regions with a Brownian boundary

Authors: M van den Berg, E Bolthausen, F den Hollander

Link: https://arxiv.org/abs/1304.0579


Title: Torsional rigidity for regions with a Brownian boundary

Authors: M van den Berg, E Bolthausen, F den Hollander

Link: https://arxiv.org/abs/1604.07007


Title: Maximization of Neumann eigenvalues on rectangles

Authors: M van den Berg, D Bucur, K Gittins

Link: https://arxiv.org/abs/1512.00224


Title: On the heat content of a polygon

Authors: M van den Berg, K Gittins

Link: https://arxiv.org/abs/1504.04165


Title: Uniform bounds for the heat content of open sets in Euclidean space

Authors: M van den Berg, K Gittins

Link: https://arxiv.org/abs/1407.6139


Title: On the number of Courant sharp Dirichlet eigenvalues

Authors: M van den Berg, K Gittins

Link: https://arxiv.org/abs/1602.08376


Title: On Pólya's conjecture for torsional rigidity and first Dirichlet eigenvalue 

Authors: M van den Berg, C Nitsch, C Trombetti, V Ferone

Link: https://arxiv.org/abs/1602.04618


Title: A quenched large deviation principle in a continuous scenario

Authors: M Birkner, F den Hollander

Link: https://arxiv.org/abs/1312.2521


Title: Decay of transverse correlations in quantum Heisenberg models

Authors: JE Björnberg, D Ueltschi

Link: https://arxiv.org/abs/1501.02109


Title: A copolymer near a linear interface: variational characterization of the free energy

Authors: E Bolthausen, F den Hollander, AA Opoku

Link: Ann. Probab. 43: 875-933 (2015)


Title: Metastability -- a Potential-Theoretic Approach.

Authors: A Bovier, F den Hollander

Link: Grundlehren der mathematischen Wissenschaften 351, Springer, Berlin, 2015, xxi + 581 pp., ISBN 978-3-319-24775-5.


Title: Annealed scaling for a charged polymer

Authors: F Caravenna, F den Hollander, N Petrelis, J Poisat

Link: https://arxiv.org/abs/1509.02204


Title: C Benassi, B Lees, D Ueltschi

Authors: Correlation inequalities for the quantum XY model

Link: https://arxiv.org/abs/1510.03215


Title: Cluster growth in the dynamical Erdős-Rényi process with forest fires.

Authors: E Crane, N Freeman, B Tóth

Link: https://arxiv.org/abs/1405.5044


Title: Metastability for Glauber dynamics on random graphs

Authors: S Dommers, F den Hollander, O Jovanovski, FR Nardi

Link: https://arxiv.org/abs/1602.08900


Title: A quantitative Burton-Keane estimate under strong FKG condition

Authors: H Duminil-Copin, D Ioffe, Y Velenik

Link: https://arxiv.org/abs/1409.5199


Title: Singularity analysis for heavy-tailed random variables

Authors: NM Ercolani, S Jansen, D Ueltschi

Link: https://arxiv.org/abs/1509.05199


Title: The parabolic Anderson model in a dynamic random environment: space-time ergodicity for the quenched Lyapunov exponent.

Authors: D Erhard, F den Hollander, G Maillard

Link: https://arxiv.org/abs/1304.2274


Title: Parabolic Anderson model in a dynamic random environment: random conductances

Authors: D Erhard, F den Hollander, G Maillard

Link: https://arxiv.org/abs/1507.06008


Title: Some properties of correlations of quantum lattice systems in thermal equilibrium

Authors: J Fröhlich, D Ueltschi

Link: https://arxiv.org/abs/1412.2534


Title: Complexe netwerken vanuit fysisch perspectie

Authors: D Garlaschelli, F den Hollander, A Roccaverde

Link: Nieuw Archief voor Wiskunde 5/16: 207-209 (2015)


Title: Breaking of ensemble equivalence in networks

Authors: D Garlaschelli, F den Hollander, J de Mol, T Squirting

Link: https://arxiv.org/abs/1501.00388


Title: Ensemble nonequivalence in random graphs with modular structure

Authors: D Garlaschelli, F den Hollander, A Roccaverde

Link: https://arxiv.org/abs/1603.08759


Title: Random walk on random walks

Authors: M Hilario, F den Hollander, V Sidoravicius, R Soares dos Santos, A Teixeira

Link: https://arxiv.org/abs/1401.4498


Title: Berman-Konsowa principle for reversible Markov jump processes

Authors: F den Hollander, S Jansen

Link: https://arxiv.org/abs/1309.1305


Title: Phase diagram for a copolymer in a micro-emulsion.

Authors: F den Hollander, N. Petrelis

Link: https://arxiv.org/abs/1309.1635


Title: Gibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions

Authors: F den Hollander, F Redig, W van Zuijlen

Link: https://arxiv.org/abs/1312.3438


Title: Multidimensional random polymers: A renewal approach

Authors: D Ioffe

Link: https://arxiv.org/abs/1412.0229


Title: Interaction versus entropic repulsion for low temperature Ising polymers

Authors: D Ioffe, S Shlosman, FL Toninelli

Link: https://arxiv.org/abs/1407.3592


Title: An invariance principle to Ferrari-Spohn diffusions

Authors: D Ioffe, S Shlosman,Y Velenik

Link: https://arxiv.org/abs/1403.5073


Title: Dyson-Ferrari-Spohn diffusions and ordered walks under area tilts

Authors: D Ioffe,Y Velenik,V Wachtel

Link: https://arxiv.org/abs/1601.04444


Title: The random interchange process on the hypercube

Authors: R Kotecký, P Miłoś, D Ueltschi

Link: https://arxiv.org/abs/1509.02067


Title: Central limit theorem for random walks in divergence-free random drift field: $H_{-1}$ suffices

Authors: G Kozma, B Tóth

Link: https://arxiv.org/abs/1411.4171


Title: Condensation and symmetry-breaking in the zero-range process with weak site disorder

Authors: C Mailler, P Mörters, D Ueltschi

Link: https://arxiv.org/abs/1509.07672


Title: Superdiffusion in the periodic Lorentz gas

Authors: J Marklof, B Toth

Link: https://arxiv.org/abs/1403.6024


Title: J Marklof, B Toth

Authors: J Marklof, B Toth

Link: https://arxiv.org/abs/1506.03619


Title: Ferromagnetism, antiferromagnetism, and the curious nematic phase of S=1 quantum spin systems

Authors: D Ueltschi

Link: https://arxiv.org/abs/1406.2366

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