A5021815654- Stochastic processes and statistical mechanics
- Theoretical and Computational Physics
- Markov Chains and Monte Carlo Methods
- Random Matrices and Applications
- Material Dynamics and Properties
- Spectral Theory in Mathematical Physics
- Quantum chaos and dynamical systems
- Numerical methods in inverse problems
- Advanced Mathematical Modeling in Engineering
- Bayesian Methods and Mixture Models
- Advanced Thermodynamics and Statistical Mechanics
- Topological and Geometric Data Analysis
- Mathematical Dynamics and Fractals
- advanced mathematical theories
- Formal Methods in Verification
- Information and Cyber Security
- Complex Network Analysis Techniques
- Point processes and geometric inequalities
- Opinion Dynamics and Social Influence
- Complex Systems and Time Series Analysis
- Quantum many-body systems
- Distributed systems and fault tolerance
- Cold Atom Physics and Bose-Einstein Condensates
- Graph theory and applications
- Liquid Crystal Research Advancements
Roma Tre University
2015-2024
Laboratoire de Physique de l'ENS de Lyon
2024
École Normale Supérieure de Lyon
2024
Confederazione Nazionale dell'Artigianato e Della Piccola e Media Impresa
2023
Centre National de la Recherche Scientifique
1999-2018
Institute of Informatics and Telematics
2004-2018
Sorbonne Université
1985-2018
Consorzio Roma Ricerche
2012-2018
National Research Council
2012-2017
University of California, Berkeley
2006-2015
Using very recent results on ergodic theorems for superadditive processes Rd, the authors prove existence of density states a wide class random Schrodinger operators. In particular, new non-asymptotic estimates are obtained and examples discussed.
Research Article| May 01, 2013 CRISIS2008: A Flexible Tool to Perform Probabilistic Seismic Hazard Assessment M. Ordaz; Ordaz aInstituto de Ingeniería, Universidad Nacional Autonóma México, Mexico City, Mexicomordazs@iingen.unam.mx Search for other works by this author on: GSW Google Scholar F. Martinelli; Martinelli bIstituto Nazionale di Geofisica e Vulcanologia, Via della Faggiola 32, 56126 Pisa, Italyfrancesco.martinelli@pi.ingv.it V. D'Amico; D'Amico C. Meletti Author and Article...
Abstract We study the mixing time of Glauber dynamics for general spin systems on regular tree, including Ising model, hard‐core model (independent sets), and antiferromagnetic Potts at zero temperature (colorings). generalize a framework, developed in our recent paper (Martinelli, Sinclair, Weitz, Tech. Report UCB//CSD‐03‐1256, Dept. EECS, UC Berkeley, July 2003) context establishing O ( n log ), which ties this property closely to phase transitions underlying model. use framework obtain...
We considerably improve upon the recent result of [37] on mixing time Glauber dynamics for 2D Ising model in a box side L at low temperature and with random boundary conditions whose distribution \mathbf P stochastically dominates extremal plus phase. An important special case is when concentrated homogeneous all-plus configuration, where T_{\mathrm{MIX}} conjectured to be polynomial . In it was shown that large enough inverse-temperature \beta any \varepsilon >0 there exists...
We study the Glauber dynamics for $(2+1)\mathrm{D}$ Solid-On-Solid model above a hard wall and below far away ceiling, on an $L\times L$ box of $\mathbb{Z}^{2}$ with zero boundary conditions, at large inverse-temperature $\beta$. It was shown by Bricmont, El Mellouki Fröhlich [J. Stat. Phys. 42 (1986) 743–798] that floor constraint induces entropic repulsion effect which lifts surface to average height $H\asymp(1/\beta)\log L$. As essential step in understanding we determine equilibrium $H$...