Dipartimento di Matematica
Guido Castelnuovo

arxiv-id: 2402.15488v1 [Abstract, pdf]
Perturbative criteria for the ergodicity of interacting dissipative quantum lattice systems
Lorenzo Bertini, Alberto De Sole, Gustavo Posta, Carlo Presilla
Published: 2024-02-23

arxiv-id: 2211.02593v2 [Abstract, pdf]
Large deviations for diffusions: Donsker-Varadhan meet Freidlin-Wentzell
Lorenzo Bertini, Davide Gabrielli, Claudio Landim
Published: 2022-11-04

arxiv-id: 2206.11923v2 [Abstract, pdf]
Trace distance ergodicity for quantum Markov semigroups
Lorenzo Bertini, Alberto De Sole, Gustavo Posta
Published: 2022-06-23
Journal Reference: Journal of Functional Analysis, 286, Issue 7 (2024)

arxiv-id: 2202.07311v2 [Abstract, pdf]
Asymptotic probability of energy increasing solutions to the homogeneous Boltzmann equation
Giada Basile, Dario Benedetto, Lorenzo Bertini, Emanuele Caglioti
Published: 2022-02-15

arxiv-id: 2111.12439v1 [Abstract, pdf]
Large deviations for a binary collision model: energy evaporation
Giada Basile, Dario Benedetto, Lorenzo Bertini, Emanuele Caglioti
Published: 2021-11-24

arxiv-id: 1906.03876v2 [Abstract, pdf]
Propagation of chaos for a General Balls into Bins dynamics
Nicoletta Cancrini, Gustavo Posta
Published: 2019-06-10
Journal Reference: Electron. J. Probab. 26(none): 1-20 (2021)

arxiv-id: 1809.08019v2 [Abstract, pdf]
Propagation of Chaos for a Balls into Bins Model
Nicoletta Cancrini, Gustavo Posta
Published: 2018-09-21
Journal Reference: Electron. Comm. in Probab. Volume 24 (2019), paper no. 1

arxiv-id: 1802.04194v1 [Abstract, pdf]
On large deviations of interface motions for statistical mechanics models
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Published: 2018-02-12
Journal Reference: Ann. Henri Poincar\'e 20 (2019), pp. 1785-1821

arxiv-id: 1707.09204v3 [Abstract, pdf]
A gradient flow approach to linear Boltzmann equations
Giada Basile, Dario Benedetto, Lorenzo Bertini
Published: 2017-07-28

arxiv-id: 1702.02797v1 [Abstract, pdf]
Boundary driven Brownian gas
Lorenzo Bertini, Gustavo Posta
Published: 2017-02-09
Journal Reference: ALEA, Lat. Am. J. Probab. Math. Stat. 16, 361-388 (2019)

arxiv-id: 1604.02064v2 [Abstract, pdf]
Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Published: 2016-04-07
Journal Reference: Arch. Ration. Mech. Anal. Vol. 224 (2017), pp. 659-707

arxiv-id: 1512.08736v2 [Abstract, pdf]
Stochastic Allen-Cahn equation with mobility
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Published: 2015-12-29
Journal Reference: Nonlinear Differ. Equ. Appl. 24: 54 (2017)

arxiv-id: 1403.1708v1 [Abstract, pdf]
Front fluctuations for the stochastic Cahn-Hilliard equation
L. Bertini, S. Brassesco, P. Buttà
Published: 2014-03-07
Journal Reference: Braz. J. Probab. Stat. 29 (2015), 336-371

arxiv-id: 1310.5829v2 [Abstract, pdf]
Donsker-Varadhan asymptotics for degenerate jump Markov processes
Giada Basile, Lorenzo Bertini
Published: 2013-10-22
Journal Reference: ALEA, 12 (1), 1-23 (2015)

arxiv-id: 1211.1626v2 [Abstract, pdf]
Drift of phase fluctuations in the ABC model
L. Bertini, P. Buttà
Published: 2012-11-07
Journal Reference: J. Stat. Phys. 152 (2013), pp. 15-36

arxiv-id: 1101.0475v1 [Abstract, pdf]
Boundary effects in the gradient theory of phase transitions
L. Bertini, P. Buttà, A. Garroni
Published: 2011-01-03
Journal Reference: SIAM J. Math. Anal. 44 (2012), 926-945

arxiv-id: math-ph/0611077v1 [Abstract, pdf]
Dobrushin states in the φ^4_1 model
L. Bertini, S. Brassesco, P. Buttà
Published: 2006-11-27
Journal Reference: Arch. Ration. Mech. Anal. 190 (2008), 477-516

arxiv-id: math-ph/0611076v1 [Abstract, pdf]
Soft and hard wall in a stochastic reaction diffusion equation
L. Bertini, S. Brassesco, P. Buttà
Published: 2006-11-27
Journal Reference: Arch. Ration. Mech. Anal. 190 (2008), 307-345

arxiv-id: math/0512394v1 [Abstract, pdf]
Large deviations of the empirical current in interacting particle systems
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2005-12-16
Journal Reference: Theory Probab. Appl. (2007) 51, 2-27

arxiv-id: cond-mat/0506664v1 [Abstract, pdf]
Non equilibrium current fluctuations in stochastic lattice gases
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2005-06-24
Journal Reference: J. Stat. Phys. (2006) 123, 237-276

arxiv-id: cond-mat/0407161v2 [Abstract, pdf]
Macroscopic current fluctuations in stochastic lattice gases
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2004-07-07
Journal Reference: Phys. Rev. Lett. (2005) 94, 030601

arxiv-id: cond-mat/0310072v1 [Abstract, pdf]
Minimum dissipation principle in stationary non equilibrium states
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2003-10-03
Journal Reference: J. Statist. Phys. (2004) 116, 831-841

arxiv-id: cond-mat/0307280v1 [Abstract, pdf]
Large deviations for the boundary driven symmetric simple exclusion process
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2003-07-11
Journal Reference: Math. Phys. Anal. Geom. (2003) 6, 231-267

arxiv-id: cond-mat/0108040v2 [Abstract, pdf]
Macroscopic fluctuation theory for stationary non equilibrium states
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2001-08-02
Journal Reference: J. Stat. Phys. 107 (2002), 635-675

arxiv-id: cond-mat/0104153v1 [Abstract, pdf]
Fluctuations in Stationary non Equilibrium States
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2001-04-09
Journal Reference: Phys. Rev. Lett. 87 (2001), 040601