Bertini, Lorenzo; De Sole, Alberto; Posta, Gustavo Trace distance ergodicity for quantum Markov semigroups. (English) Zbl 07807081 J. Funct. Anal. 286, No. 7, Article ID 110340, 46 p. (2024). MSC: 81S22 47A35 17B10 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Funct. Anal. 286, No. 7, Article ID 110340, 46 p. (2024; Zbl 07807081) Full Text: DOI arXiv
Bertini, Lorenzo; De Sole, Alberto; Posta, Gustavo; Presilla, Carlo Perturbative criteria for the ergodicity of interacting dissipative quantum lattice systems. arXiv:2402.15488 Preprint, arXiv:2402.15488 [math-ph] (2024). MSC: 81S22 82C10 81V74 47B44 BibTeX Cite \textit{L. Bertini} et al., ``Perturbative criteria for the ergodicity of interacting dissipative quantum lattice systems'', Preprint, arXiv:2402.15488 [math-ph] (2024) Full Text: arXiv OA License
Basile, Giada; Benedetto, Dario; Caglioti, Emanuele; Bertini, Lorenzo Large deviations for a binary collision model: energy evaporation. (English) Zbl 07817636 Math. Eng. (Springfield) 5, No. 1, Paper No. 1, 12 p. (2023). MSC: 82-XX 60-XX PDFBibTeX XMLCite \textit{G. Basile} et al., Math. Eng. (Springfield) 5, No. 1, Paper No. 1, 12 p. (2023; Zbl 07817636) Full Text: DOI arXiv
Bertini, Lorenzo; Gabrielli, Davide; Landim, Claudio Concurrent Donsker-Varadhan and hydrodynamical large deviations. (English) Zbl 1518.60035 Ann. Probab. 51, No. 4, 1298-1341 (2023). MSC: 60F10 60K35 82C22 82C70 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Probab. 51, No. 4, 1298--1341 (2023; Zbl 1518.60035) Full Text: DOI arXiv
Bertini, Lorenzo; Gabrielli, Davide; Landim, Claudio Large deviations for diffusions: Donsker-Varadhan meet Freidlin-Wentzell. arXiv:2211.02593 Preprint, arXiv:2211.02593 [math.PR] (2022). MSC: 60J60 60F10 82C31 BibTeX Cite \textit{L. Bertini} et al., ``Large deviations for diffusions: Donsker-Varadhan meet Freidlin-Wentzell'', Preprint, arXiv:2211.02593 [math.PR] (2022) Full Text: arXiv OA License
Bertini, L.; Gabrielli, D.; Landim, C. Metastable \(\Gamma\)-expansion of finite state Markov chains level two large deviations rate functions. arXiv:2207.02588 Preprint, arXiv:2207.02588 [math.PR] (2022). BibTeX Cite \textit{L. Bertini} et al., ``Metastable $\Gamma$-expansion of finite state Markov chains level two large deviations rate functions'', Preprint, arXiv:2207.02588 [math.PR] (2022) Full Text: arXiv OA License
Basile, Giada; Benedetto, Dario; Bertini, Lorenzo; Caglioti, Emanuele Asymptotic probability of energy increasing solutions to the homogeneous Boltzmann equation. arXiv:2202.07311 Preprint, arXiv:2202.07311 [math-ph] (2022). MSC: 35Q20 60F10 82C40 BibTeX Cite \textit{G. Basile} et al., ``Asymptotic probability of energy increasing solutions to the homogeneous Boltzmann equation'', Preprint, arXiv:2202.07311 [math-ph] (2022) Full Text: arXiv OA License
Bertini, Lorenzo; Cancrini, Nicoletta; Posta, Gustavo Quantitative ergodicity for the symmetric exclusion process with stationary initial data. (English) Zbl 1477.60134 Electron. Commun. Probab. 26, Paper No. 53, 9 p. (2021). MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{L. Bertini} et al., Electron. Commun. Probab. 26, Paper No. 53, 9 p. (2021; Zbl 1477.60134) Full Text: DOI arXiv
Basile, Giada; Benedetto, Dario; Bertini, Lorenzo; Orrieri, Carlo Large deviations for Kac-like walks. (English) Zbl 1477.35111 J. Stat. Phys. 184, No. 1, Paper No. 10, 27 p. (2021). MSC: 35Q20 82C40 60F10 PDFBibTeX XMLCite \textit{G. Basile} et al., J. Stat. Phys. 184, No. 1, Paper No. 10, 27 p. (2021; Zbl 1477.35111) Full Text: DOI arXiv
Basile, Giada; Benedetto, Dario; Bertini, Lorenzo A gradient flow approach to linear Boltzmann equations. (English) Zbl 1473.35386 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 943-975 (2020). MSC: 35Q20 82C40 49Q20 76P05 35R06 PDFBibTeX XMLCite \textit{G. Basile} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 943--975 (2020; Zbl 1473.35386) Full Text: DOI arXiv
Bertini, Lorenzo; Buttà, Paolo; Pisante, Adriano On large deviations of interface motions for statistical mechanics models. (English) Zbl 1417.82023 Ann. Henri Poincaré 20, No. 6, 1785-1821 (2019). MSC: 82C24 60F10 82C20 60K35 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Henri Poincaré 20, No. 6, 1785--1821 (2019; Zbl 1417.82023) Full Text: DOI arXiv
Bertini, Lorenzo; Posta, Gustavo Boundary driven Brownian gas. (English) Zbl 1488.60226 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 361-388 (2019). MSC: 60K35 60J70 82B21 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{G. Posta}, ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 361--388 (2019; Zbl 1488.60226) Full Text: arXiv Link
Bertini, Lorenzo; Chetrite, Raphael; Faggionato, Alessandra; Gabrielli, Davide Level 2.5 large deviations for continuous-time Markov chains with time periodic rates. (English) Zbl 1400.82126 Ann. Henri Poincaré 19, No. 10, 3197-3238 (2018). MSC: 82C05 60J25 60F10 60J75 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Henri Poincaré 19, No. 10, 3197--3238 (2018; Zbl 1400.82126) Full Text: DOI arXiv
Bertini, Lorenzo; Buttà, Paolo; Pisante, Adriano Stochastic Allen-Cahn equation with mobility. (English) Zbl 1386.35497 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 5, Paper No. 54, 38 p. (2017). MSC: 35R60 60H15 35Q82 PDFBibTeX XMLCite \textit{L. Bertini} et al., NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 5, Paper No. 54, 38 p. (2017; Zbl 1386.35497) Full Text: DOI arXiv
Bertini, Lorenzo; Buttà, Paolo; Pisante, Adriano Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound. (English) Zbl 1366.35193 Arch. Ration. Mech. Anal. 224, No. 2, 659-707 (2017). MSC: 35Q82 82C31 60F10 82C26 82C24 PDFBibTeX XMLCite \textit{L. Bertini} et al., Arch. Ration. Mech. Anal. 224, No. 2, 659--707 (2017; Zbl 1366.35193) Full Text: DOI arXiv
Bertini, Lorenzo; De Sole, Alberto; Gabrielli, Davide; Jona-Lasinio, Giovanni; Landim, Claudio Quantitative analysis of the Clausius inequality. (English) Zbl 1456.80008 J. Stat. Mech. Theory Exp. 2015, No. 10, Paper No. P10018, 19 p. (2015). MSC: 80A10 82C70 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Mech. Theory Exp. 2015, No. 10, Paper No. P10018, 19 p. (2015; Zbl 1456.80008) Full Text: DOI arXiv
Bertini, Lorenzo; Di Gesù, Giacomo Small noise asymptotic of the Gallavotti-Cohen functional for diffusion processes. (English) Zbl 1331.60051 ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 2, 743-763 (2015). MSC: 60F10 60J60 82C05 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{G. Di Gesù}, ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 2, 743--763 (2015; Zbl 1331.60051) Full Text: arXiv Link
Bertini, Lorenzo; Faggionato, Alessandra; Gabrielli, Davide Large deviations of the empirical flow for continuous time Markov chains. (English. French summary) Zbl 1323.60045 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 867-900 (2015). MSC: 60F10 60J27 82C05 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 867--900 (2015; Zbl 1323.60045) Full Text: DOI arXiv Euclid
Bertini, Lorenzo; Brassesco, Stella; Buttà, Paolo Front fluctuations for the stochastic Cahn-Hilliard equation. (English) Zbl 1318.82033 Braz. J. Probab. Stat. 29, No. 2, 336-371 (2015). MSC: 82C31 35Q35 35R60 82B24 PDFBibTeX XMLCite \textit{L. Bertini} et al., Braz. J. Probab. Stat. 29, No. 2, 336--371 (2015; Zbl 1318.82033) Full Text: DOI arXiv Euclid
Bertini, Lorenzo; Faggionato, Alessandra; Gabrielli, Davide Flows, currents, and cycles for Markov chains: large deviation asymptotics. (English) Zbl 1321.60044 Stochastic Processes Appl. 125, No. 7, 2786-2819 (2015). MSC: 60F10 60J27 82C05 PDFBibTeX XMLCite \textit{L. Bertini} et al., Stochastic Processes Appl. 125, No. 7, 2786--2819 (2015; Zbl 1321.60044) Full Text: DOI arXiv
Basile, Giada; Bertini, Lorenzo Bertini Donsker-Varadhan asymptotics for degenerate jump Markov processes. (English) Zbl 1327.60065 ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 1-23 (2015). MSC: 60F10 60J75 74A25 PDFBibTeX XMLCite \textit{G. Basile} and \textit{L. B. Bertini}, ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 1--23 (2015; Zbl 1327.60065) Full Text: arXiv Link
Bertini, L.; Faggionato, A.; Gabrielli, D. From level 2.5 to level 2 large deviations for continuous time Markov chains. (English) Zbl 1310.60022 Markov Process. Relat. Fields 20, No. 3, 545-562 (2014). MSC: 60F10 60J27 82C05 PDFBibTeX XMLCite \textit{L. Bertini} et al., Markov Process. Relat. Fields 20, No. 3, 545--562 (2014; Zbl 1310.60022) Full Text: arXiv
Bertini, Lorenzo; Giacomin, Giambattista; Poquet, Christophe Synchronization and random long time dynamics for mean-field plane rotators. (English) Zbl 1309.60093 Probab. Theory Relat. Fields 160, No. 3-4, 593-653 (2014). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60K35 60F15 35Q84 82C26 82C31 37N25 92B20 PDFBibTeX XMLCite \textit{L. Bertini} et al., Probab. Theory Relat. Fields 160, No. 3--4, 593--653 (2014; Zbl 1309.60093) Full Text: DOI arXiv
Bertini, Lorenzo; Buttà, Paolo Drift of phase fluctuations in the ABC model. (English) Zbl 1281.82020 J. Stat. Phys. 152, No. 1, 15-36 (2013). MSC: 82C26 82C41 82C20 82C27 35C07 35Q35 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{P. Buttà}, J. Stat. Phys. 152, No. 1, 15--36 (2013; Zbl 1281.82020) Full Text: DOI arXiv
Bertini, Lorenzo; Faggionato, Alessandra; Gabrielli, Davide Large deviation principles for nongradient weakly asymmetric stochastic lattice gases. (English) Zbl 1315.60106 Ann. Appl. Probab. 23, No. 1, 1-65 (2013). MSC: 60K35 60F10 82C22 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Appl. Probab. 23, No. 1, 1--65 (2013; Zbl 1315.60106) Full Text: DOI arXiv Euclid
Bertini, Lorenzo; Gabrielli, Davide; Jona-Lasinio, Giovanni; Landim, Claudio Thermodynamic transformations of nonequilibrium states. (English) Zbl 1268.82026 J. Stat. Phys. 149, No. 5, 773-802 (2012). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C35 82C05 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 149, No. 5, 773--802 (2012; Zbl 1268.82026) Full Text: DOI arXiv
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo Convergence of the one-dimensional Cahn-Hilliard equation. (English) Zbl 1277.35197 SIAM J. Math. Anal. 44, No. 5, 3458-3480 (2012). Reviewer: Dirk Blömker (Augsburg) MSC: 35K35 49J45 80A22 35K58 PDFBibTeX XMLCite \textit{G. Bellettini} et al., SIAM J. Math. Anal. 44, No. 5, 3458--3480 (2012; Zbl 1277.35197) Full Text: DOI arXiv
Bertini, Lorenzo; Buttà, Paolo; Garroni, Adriana Boundary effects in the gradient theory of phase transitions. (English) Zbl 1260.82027 SIAM J. Math. Anal. 44, No. 2, 926-945 (2012). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B26 49J45 35J20 82B24 PDFBibTeX XMLCite \textit{L. Bertini} et al., SIAM J. Math. Anal. 44, No. 2, 926--945 (2012; Zbl 1260.82027) Full Text: DOI arXiv
Bertini, Lorenzo; Ponsiglione, Marcello A variational approach to the stationary solutions of the Burgers equation. (English) Zbl 1257.35004 SIAM J. Math. Anal. 44, No. 2, 682-698 (2012). Reviewer: Aleksander Pankov (Baltimore) MSC: 35A15 34B40 82B24 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{M. Ponsiglione}, SIAM J. Math. Anal. 44, No. 2, 682--698 (2012; Zbl 1257.35004) Full Text: DOI arXiv
Bertini, Lorenzo; Cancrini, Nicoletta; Posta, Gustavo On the dynamical behavior of the ABC model. (English) Zbl 1230.82017 J. Stat. Phys. 144, No. 6, 1284-1307 (2011). MSC: 82B26 82B21 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 144, No. 6, 1284--1307 (2011; Zbl 1230.82017) Full Text: DOI arXiv
Bertini, Lorenzo; De Sole, Alberto; Gabrielli, Davide; Jona-Lasinio, Giovanni; Landim, Claudio Action functional and quasi-potential for the Burgers equation in a bounded interval. (English) Zbl 1220.82079 Commun. Pure Appl. Math. 64, No. 5, 649-696 (2011). Reviewer: Václav Burjan (Praha) MSC: 82C26 49J40 35Q53 PDFBibTeX XMLCite \textit{L. Bertini} et al., Commun. Pure Appl. Math. 64, No. 5, 649--696 (2011; Zbl 1220.82079) Full Text: DOI arXiv
Bertini, Lorenzo; Giacomin, Giambattista; Pakdaman, Khashayar Dynamical aspects of mean field plane rotators and the Kuramoto model. (English) Zbl 1187.82067 J. Stat. Phys. 138, No. 1-3, 270-290 (2010). MSC: 82C05 37N20 60J65 82C22 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 138, No. 1--3, 270--290 (2010; Zbl 1187.82067) Full Text: DOI arXiv
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo \(\Gamma\)-entropy cost for scalar conservation laws. (English) Zbl 1191.35172 Arch. Ration. Mech. Anal. 195, No. 1, 261-309 (2010). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L65 35B25 35Q93 PDFBibTeX XMLCite \textit{G. Bellettini} et al., Arch. Ration. Mech. Anal. 195, No. 1, 261--309 (2010; Zbl 1191.35172) Full Text: DOI arXiv
Bertini, Lorenzo; Landim, Claudio; Mourragui, Mustapha Dynamical large deviations for the boundary driven weakly asymmetric exclusion process. (English) Zbl 1187.82083 Ann. Probab. 37, No. 6, 2357-2403 (2009). MSC: 82C22 60F10 82C35 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Probab. 37, No. 6, 2357--2403 (2009; Zbl 1187.82083) Full Text: DOI arXiv
Bertini, Lorenzo; Brassesco, Stella; Buttà, Paolo Boundary effects on the interface dynamics for the stochastic Allen-Cahn equation. (English) Zbl 1179.35163 Sidoravičius, Vladas (ed.), New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5–11, 2006. Dordrecht: Springer (ISBN 978-90-481-2809-9/hbk; 978-90-481-2810-5/ebook). 87-93 (2009). MSC: 35K57 35R60 35B40 PDFBibTeX XMLCite \textit{L. Bertini} et al., in: New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5--11, 2006. Dordrecht: Springer. 87--93 (2009; Zbl 1179.35163) Full Text: DOI
Bertini, L.; De Sole, A.; Gabrielli, D.; Jona-Lasinio, G.; Landim, C. Towards a nonequilibrium thermodynamics: A Self-contained macroscopic description of driven diffusive systems. (English) Zbl 1175.82044 J. Stat. Phys. 135, No. 5-6, 857-872 (2009). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C35 82C05 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 135, No. 5--6, 857--872 (2009; Zbl 1175.82044) Full Text: DOI arXiv
Bertini, Lorenzo; Gabrielli, Davide; Landim, Claudio Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process. (English) Zbl 1167.82349 Commun. Math. Phys. 289, No. 1, 311-334 (2009). MSC: 82C22 60K35 35Q53 PDFBibTeX XMLCite \textit{L. Bertini} et al., Commun. Math. Phys. 289, No. 1, 311--334 (2009; Zbl 1167.82349) Full Text: DOI arXiv
Bertini, Lorenzo; Brassesco, Stella; Buttà, Paolo Dobrushin states in the \(\phi^4_1\) model. (English) Zbl 1161.82007 Arch. Ration. Mech. Anal. 190, No. 3, 477-516 (2008). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B26 82C26 82C22 82B31 PDFBibTeX XMLCite \textit{L. Bertini} et al., Arch. Ration. Mech. Anal. 190, No. 3, 477--516 (2008; Zbl 1161.82007) Full Text: DOI arXiv
Bertini, Lorenzo; Brassesco, Stella; Buttà, Paolo Soft and hard wall in a stochastic reaction diffusion equation. (English) Zbl 1155.60023 Arch. Ration. Mech. Anal. 190, No. 2, 307-345 (2008). MSC: 60H15 35K57 82C31 PDFBibTeX XMLCite \textit{L. Bertini} et al., Arch. Ration. Mech. Anal. 190, No. 2, 307--345 (2008; Zbl 1155.60023) Full Text: DOI arXiv
Bertini, L.; De Sole, A.; Gabrielli, D.; Jona-Lasinio, G.; Landim, C. Stochastic interacting particle systems out of equilibrium. (English) Zbl 1456.82649 J. Stat. Mech. Theory Exp. 2007, No. 7, Paper No. P07014, 35 p. (2007). MSC: 82C22 60K35 82-02 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Mech. Theory Exp. 2007, No. 7, Paper No. P07014, 35 p. (2007; Zbl 1456.82649) Full Text: DOI arXiv
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo Perturbative analysis of disordered Ising models close to criticality. (English) Zbl 1153.82023 J. Stat. Phys. 126, No. 4-5, 987-1006 (2007). MSC: 82D30 82D40 82D60 82C20 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 126, No. 4--5, 987--1006 (2007; Zbl 1153.82023) Full Text: DOI arXiv
Bertini, L.; De Sole, A.; Gabrielli, D.; Jona-Lasinio, G.; Landim, C. Large deviations of the empirical current in interacting particle systems. (English) Zbl 1190.82027 Theory Probab. Appl. 51, No. 1, 2-27 (2007); translation from Teor. Veroyatn. Primen. 51, No. 1, 144-170 (2006). MSC: 82C22 60K35 60F10 PDFBibTeX XMLCite \textit{L. Bertini} et al., Theory Probab. Appl. 51, No. 1, 2--27 (2007; Zbl 1190.82027); translation from Teor. Veroyatn. Primen. 51, No. 1, 144--170 (2006) Full Text: DOI arXiv
Bertini, Lorenzo; De Sole, Alberto; Gabrielli, Davide; Jona-Lasinio, Giovanni; Landim, Claudio Large deviation approach to non-equilibrium processes in stochastic lattice gases. (English) Zbl 1109.60325 Bull. Braz. Math. Soc. (N.S.) 37, No. 4, 611-643 (2006). MSC: 60K35 60F10 82C05 82C31 PDFBibTeX XMLCite \textit{L. Bertini} et al., Bull. Braz. Math. Soc. (N.S.) 37, No. 4, 611--643 (2006; Zbl 1109.60325) Full Text: DOI arXiv
Bertini, L.; De Sole, A.; Gabrielli, D.; Jona-Lasinio, G.; Landim, C. Non equilibrium current fluctuations in stochastic lattice gases. (English) Zbl 1097.82016 J. Stat. Phys. 123, No. 2, 237-276 (2006). MSC: 82C22 60K35 60F10 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 123, No. 2, 237--276 (2006; Zbl 1097.82016) Full Text: DOI arXiv
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo Renormalization group in the uniqueness region: weak Gibbsianity and convergence. (English) Zbl 1130.82309 Commun. Math. Phys. 261, No. 2, 323-378 (2006). MSC: 82B28 82B20 PDFBibTeX XMLCite \textit{L. Bertini} et al., Commun. Math. Phys. 261, No. 2, 323--378 (2006; Zbl 1130.82309) Full Text: DOI arXiv
Bertini, Lorenzo; Gabrielli, Davide; Lebowitz, Joel L. Large deviations for a stochastic model of heat flow. (English) Zbl 1127.82034 J. Stat. Phys. 121, No. 5-6, 843-885 (2005). MSC: 82C05 60F10 82C31 82C35 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 121, No. 5--6, 843--885 (2005; Zbl 1127.82034) Full Text: DOI arXiv
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo Graded cluster expansion for lattice systems. (English) Zbl 1084.82003 Commun. Math. Phys. 258, No. 2, 405-443 (2005). Reviewer: A. C. D. van Enter (Groningen) MSC: 82B28 82B44 82D30 60K35 PDFBibTeX XMLCite \textit{L. Bertini} et al., Commun. Math. Phys. 258, No. 2, 405--443 (2005; Zbl 1084.82003) Full Text: DOI arXiv
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo A combinatorial proof of tree decay of semi-invariants. (English) Zbl 1157.82303 J. Stat. Phys. 115, No. 1-2, 395-413 (2004). MSC: 82B05 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 115, No. 1--2, 395--413 (2004; Zbl 1157.82303) Full Text: DOI arXiv
Bertini, L.; De Sole, A.; Gabrielli, D.; Jona-Lasinio, G.; Landim, C. Minimum dissipation principle in stationary non-equilibrium states. (English) Zbl 1142.82343 J. Stat. Phys. 116, No. 1-4, 831-841 (2004). MSC: 82C05 82C35 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 116, No. 1--4, 831--841 (2004; Zbl 1142.82343) Full Text: DOI arXiv
Bertini, Lorenzo; Toninelli, Cristina Exclusion processes with degenerate rates: convergence to equilibrium and tagged particle. (English) Zbl 1113.82047 J. Stat. Phys. 117, No. 3-4, 549-580 (2004). MSC: 82C22 60K35 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{C. Toninelli}, J. Stat. Phys. 117, No. 3--4, 549--580 (2004; Zbl 1113.82047) Full Text: DOI arXiv
Bertini, L.; Cirillo, E. N. M.; Olivieri, E. Gibbsian properties and convergence of the iterates for the block averaging transformation. (English) Zbl 1210.82026 Markov Process. Relat. Fields 10, No. 3, 381-394 (2004). Reviewer: Fabio L. Toninelli (Lyon) MSC: 82B28 82B44 60K35 PDFBibTeX XMLCite \textit{L. Bertini} et al., Markov Process. Relat. Fields 10, No. 3, 381--394 (2004; Zbl 1210.82026) Full Text: arXiv
Bertini, L.; De Sole, A.; Gabrielli, D.; Jona-Lasinio, G.; Landim, C. Large deviations for the boundary driven symmetric simple exclusion process. (English) Zbl 1031.82039 Math. Phys. Anal. Geom. 6, No. 3, 231-267 (2003). Reviewer: Hiroshi Tamura (Kanazawa) MSC: 82C35 82C22 60F10 PDFBibTeX XMLCite \textit{L. Bertini} et al., Math. Phys. Anal. Geom. 6, No. 3, 231--267 (2003; Zbl 1031.82039) Full Text: DOI arXiv
Bertini, L.; Buttà, P.; Presutti, E.; Saada, E. Interface fluctuations in a conserved system: Derivation and long time behaviour. (English) Zbl 1021.60047 Markov Process. Relat. Fields 9, No. 1, 1-34 (2003). Reviewer: Isamu Dôku (Urawa) MSC: 60H15 60K35 82C44 82C24 PDFBibTeX XMLCite \textit{L. Bertini} et al., Markov Process. Relat. Fields 9, No. 1, 1--34 (2003; Zbl 1021.60047)
Bertini, L. Dynamic fluctuations for Kac and related models. (English) Zbl 1103.82307 Markov Process. Relat. Fields 8, No. 2, 365-379 (2002). MSC: 82B20 60K35 82-02 82B24 82B26 PDFBibTeX XMLCite \textit{L. Bertini}, Markov Process. Relat. Fields 8, No. 2, 365--379 (2002; Zbl 1103.82307)
Bertini, L.; Brassesco, S.; Buttà, P.; Presutti, E. Stochastic phase field equations: Existence and uniqueness. (English) Zbl 0996.82049 Ann. Henri Poincaré 3, No. 1, 87-98 (2002). MSC: 82C31 60H15 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Henri Poincaré 3, No. 1, 87--98 (2002; Zbl 0996.82049) Full Text: DOI
Bertini, L.; Brassesco, S.; Buttà, P.; Presutti, E. Front fluctuations in one dimensional stochastic phase field equations. (English) Zbl 0996.82048 Ann. Henri Poincaré 3, No. 1, 29-86 (2002). MSC: 82C31 60H15 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Henri Poincaré 3, No. 1, 29--86 (2002; Zbl 0996.82048) Full Text: DOI
Bertini, L.; De Sole, A.; Gabrielli, D.; Jona-Lasinio, G.; Landim, C. Macroscopic fluctuation theory for stationary nonequilibrium states. (English) Zbl 1031.82038 J. Stat. Phys. 107, No. 3-4, 635-675 (2002). Reviewer: Gunter M.Schütz (Jülich) MSC: 82C35 82C05 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 107, No. 3--4, 635--675 (2002; Zbl 1031.82038) Full Text: DOI arXiv
Bertini, Lorenzo; Cancrini, Nicoletta; Cesi, Filippo The spectral gap for a Glauber-type dynamics in a continuous gas. (English) Zbl 0994.82054 Ann. Inst. Henri Poincaré, Probab. Stat. 38, No. 1, 91-108 (2002). MSC: 82C21 60K35 82C22 PDFBibTeX XMLCite \textit{L. Bertini} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 38, No. 1, 91--108 (2002; Zbl 0994.82054) Full Text: DOI Numdam EuDML
Bertini, L.; Buttà, P.; Rüdiger, B. Interface dynamcis and Stefan problem from a microscopic conservative model. (English) Zbl 0976.60094 Rend. Mat. Appl., VII. Ser. 19, No. 4, 547-581 (1999). Reviewer: Costică Moroşanu (Iaşi) MSC: 60K35 35R35 PDFBibTeX XMLCite \textit{L. Bertini} et al., Rend. Mat. Appl., VII. Ser. 19, No. 4, 547--581 (1999; Zbl 0976.60094)
Bertini, Lorenzo; Cirillo, Emilio N. M.; Olivieri, Enzo Renormalization-group transformations under strong mixing conditions: Gibbsianness and convergence of renormalized interactions. (English) Zbl 0958.82017 J. Stat. Phys. 97, No. 5-6, 831-915 (1999). MSC: 82B28 82B20 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 97, No. 5--6, 831--915 (1999; Zbl 0958.82017) Full Text: DOI arXiv
Bertini, L.; Zegarlinski, B. Coercive inequalities for Kawasaki dynamics. The product case. (English) Zbl 0934.60096 Markov Process. Relat. Fields 5, No. 2, 125-162 (1999). MSC: 60K35 46N55 82C22 82C20 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{B. Zegarlinski}, Markov Process. Relat. Fields 5, No. 2, 125--162 (1999; Zbl 0934.60096)
Bertini, Lorenzo; Buttà, Paolo; Rüdiger, Barbara A microscopic model of phase field type. (English) Zbl 0934.60091 Dalang, Robert C. (ed.) et al., Seminar on Stochastic analysis, random fields and applications. Centro Stefano Franscini, Ascona, Italy, September 1996. Basel: Birkhäuser. Prog. Probab. 45, 63-71 (1999). MSC: 60K35 35R35 PDFBibTeX XMLCite \textit{L. Bertini} et al., Prog. Probab. 45, 63--71 (1999; Zbl 0934.60091)
Bertini, Lorenzo; Giacomin, Giambattista On the long time behavior of the stochastic heat equation. (English) Zbl 0934.60058 Probab. Theory Relat. Fields 114, No. 3, 279-289 (1999). MSC: 60H15 60K35 82B44 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{G. Giacomin}, Probab. Theory Relat. Fields 114, No. 3, 279--289 (1999; Zbl 0934.60058) Full Text: DOI
Bertini, Lorenzo; Zegarlinski, Bogusław Coercive inequalities for Gibbs measures. (English) Zbl 0932.60061 J. Funct. Anal. 162, No. 2, 257-286 (1999). Reviewer: O.Brockhaus (London) MSC: 60G60 47A35 60K35 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{B. Zegarlinski}, J. Funct. Anal. 162, No. 2, 257--286 (1999; Zbl 0932.60061) Full Text: DOI Link
Bertini, Lorenzo; Cancrini, Nicoletta The two-dimensional stochastic heat equation: renormalizing a multiplicative noise. (English) Zbl 0976.82035 J. Phys. A, Math. Gen. 31, No. 2, 615-622 (1998). MSC: 82C31 60H15 82C28 82D30 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{N. Cancrini}, J. Phys. A, Math. Gen. 31, No. 2, 615--622 (1998; Zbl 0976.82035) Full Text: DOI Link
Bertini, L.; Landim, C.; Olla, S. Derivation of Cahn-Hilliard equations from Ginzburg-Landau models. (English) Zbl 0924.60065 J. Stat. Phys. 88, No. 1-2, 365-381 (1997). Reviewer: Mihai Gradinaru (Nancy) MSC: 60J60 82C22 60K35 35Q55 60F10 PDFBibTeX XMLCite \textit{L. Bertini} et al., J. Stat. Phys. 88, No. 1--2, 365--381 (1997; Zbl 0924.60065) Full Text: DOI
Bertini, L.; Cancrini, N. Reduction formula for moments of stochastic integrals. (English) Zbl 0947.60064 J. Math. Phys. 38, No. 9, 4763-4770 (1997). Reviewer: M.Rao (Gainesville) MSC: 60H05 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{N. Cancrini}, J. Math. Phys. 38, No. 9, 4763--4770 (1997; Zbl 0947.60064) Full Text: DOI
Bertini, Lorenzo; Giacomin, Giambattista Stochastic Burgers and KPZ equations from particle systems. (English) Zbl 0874.60059 Commun. Math. Phys. 183, No. 3, 571-607 (1997). MSC: 60H15 35Q53 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{G. Giacomin}, Commun. Math. Phys. 183, No. 3, 571--607 (1997; Zbl 0874.60059) Full Text: DOI Euclid
Bertini, Lorenzo; Cancrini, Nicoletta The stochastic heat equation: Feynman-Kac formula and intermittence. (English) Zbl 1080.60508 J. Stat. Phys. 78, No. 5-6, 1377-1401 (1995). MSC: 60H15 60J50 82C31 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{N. Cancrini}, J. Stat. Phys. 78, No. 5--6, 1377--1401 (1995; Zbl 1080.60508) Full Text: DOI
Bertini, L.; Cancrini, N.; Jona-Lasinio, G. Stochastically forced Burgers equation. (English) Zbl 0864.60056 Fannes, Mark (ed.) et al., On three levels. Micro-, meso-, and macro-approaches in physics. Proceedings of a NATO Advanced Research Workshop, Leuven, Belgium, July 19–23, 1993. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 324, 265-269 (1994). Reviewer: L.Bertini (Roma) MSC: 60H99 60J70 PDFBibTeX XMLCite \textit{L. Bertini} et al., NATO ASI Ser., Ser. B, Phys. 324, 265--269 (1994; Zbl 0864.60056)
Bertini, L.; Cancrini, N.; Jona-Lasinio, G. The stochastic Burgers equation. (English) Zbl 0807.60062 Commun. Math. Phys. 165, No. 2, 211-232 (1994). MSC: 60H99 60J70 PDFBibTeX XMLCite \textit{L. Bertini} et al., Commun. Math. Phys. 165, No. 2, 211--232 (1994; Zbl 0807.60062) Full Text: DOI
Bertini, Lorenzo; Jona-Lasinio, Giovanni; Parrinello, Claudio Stochastic quantization, stochastic calculus and path integrals: Selected topics. (English) Zbl 0831.60108 Namiki, Mikio (ed.) et al., Stochastic quantization. Kyoto: Yukawa Institute for Theoretical Physics and The Physical Society of Japan, Prog. Theor. Phys., Suppl. 111, 83-113 (1993). MSC: 60K40 81S20 60H15 81S40 PDFBibTeX XMLCite \textit{L. Bertini} et al., Prog. Theor. Phys., Suppl. 111, 83--113 (1993; Zbl 0831.60108)
Bertini, L.; Presutti, E.; Rüdiger, B.; Saada, E. Dynamical fluctuations at the critical point: Convergence to a nonlinear stochastic PDE. (English) Zbl 0819.60070 Theory Probab. Appl. 38, No. 4, 586-629 (1993) and Teor. Veroyatn. Primen. 38, No. 4, 689-741 (1993). MSC: 60J70 60K40 81S20 PDFBibTeX XMLCite \textit{L. Bertini} et al., Theory Probab. Appl. 38, No. 4, 1 (1993; Zbl 0819.60070) Full Text: DOI