Cannizzaro, Giuseppe; Gubinelli, Massimiliano; Toninelli, Fabio Gaussian fluctuations for the stochastic Burgers equation in dimension \(d \geq 2\). (English) Zbl 07824917 Commun. Math. Phys. 405, No. 4, Paper No. 89, 60 p. (2024). MSC: 60Hxx 82Bxx 82Cxx PDFBibTeX XMLCite \textit{G. Cannizzaro} et al., Commun. Math. Phys. 405, No. 4, Paper No. 89, 60 p. (2024; Zbl 07824917) Full Text: DOI arXiv OA License
Cannizzaro, Giuseppe; Erhard, Dirk; Toninelli, Fabio Weak coupling limit of the anisotropic KPZ equation. (English) Zbl 07783737 Duke Math. J. 172, No. 16, 3013-3104 (2023). MSC: 60H17 82C27 60H15 35R60 60K35 PDFBibTeX XMLCite \textit{G. Cannizzaro} et al., Duke Math. J. 172, No. 16, 3013--3104 (2023; Zbl 07783737) Full Text: DOI arXiv Link
Giuliani, Alessandro; Renzi, Bruno; Toninelli, Fabio Lucio Weakly nonplanar dimers. (English) Zbl 07774904 Probab. Math. Phys. 4, No. 4, 891-934 (2023). MSC: 82B20 82B28 82B41 PDFBibTeX XMLCite \textit{A. Giuliani} et al., Probab. Math. Phys. 4, No. 4, 891--934 (2023; Zbl 07774904) Full Text: DOI arXiv
Cannizzaro, Giuseppe; Erhard, Dirk; Toninelli, Fabio The Stationary AKPZ equation: logarithmic superdiffusivity. (English) Zbl 1525.35263 Commun. Pure Appl. Math. 76, No. 11, 3044-3103 (2023). MSC: 35R60 35B40 35K58 PDFBibTeX XMLCite \textit{G. Cannizzaro} et al., Commun. Pure Appl. Math. 76, No. 11, 3044--3103 (2023; Zbl 1525.35263) Full Text: DOI arXiv OA License
Laslier, Benoît; Toninelli, Fabio The mixing time of the Lozenge tiling Glauber dynamics. (Temps de mélange de la dynamique de Glauber pour les pavages aléatoires.) (English. French summary) Zbl 07747045 Ann. Henri Lebesgue 6, 907-940 (2023). MSC: 60K35 82C20 52C20 PDFBibTeX XMLCite \textit{B. Laslier} and \textit{F. Toninelli}, Ann. Henri Lebesgue 6, 907--940 (2023; Zbl 07747045) Full Text: DOI arXiv
Caputo, Pietro (ed.); Toninelli, Fabio L. (ed.); Tóth, Bálint (ed.) Large scale stochastic dynamics. Abstracts from the workshop held September 11–17, 2022. (English) Zbl 1520.00022 Oberwolfach Rep. 19, No. 3, 2399-2466 (2022). MSC: 00B05 00B25 82-06 82C05 82C20 82C24 82C40 60J10 PDFBibTeX XMLCite \textit{P. Caputo} (ed.) et al., Oberwolfach Rep. 19, No. 3, 2399--2466 (2022; Zbl 1520.00022) Full Text: DOI
Cannizzaro, Giuseppe; Haunschmid-Sibitz, Levi; Toninelli, Fabio \(\sqrt{\log t}\)-superdiffusivity for a Brownian particle in the curl of the 2D GFF. (English) Zbl 1502.82015 Ann. Probab. 50, No. 6, 2475-2498 (2022). MSC: 82C27 60H10 82D60 82C41 82C31 60J60 60J65 PDFBibTeX XMLCite \textit{G. Cannizzaro} et al., Ann. Probab. 50, No. 6, 2475--2498 (2022; Zbl 1502.82015) Full Text: DOI arXiv
Lerouvillois, Vincent; Toninelli, Fabio Hydrodynamic limit for a 2D interlaced particle process. (English) Zbl 1492.60281 Ann. Appl. Probab. 32, No. 1, 167-190 (2022). MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{V. Lerouvillois} and \textit{F. Toninelli}, Ann. Appl. Probab. 32, No. 1, 167--190 (2022; Zbl 1492.60281) Full Text: DOI arXiv
Chhita, Sunil; Toninelli, Fabio The domino shuffling algorithm and anisotropic KPZ stochastic growth. (L’algorithme de mélange de dominos et croissance aléatoire KPZ anisotropique.) (English. French summary) Zbl 1480.60288 Ann. Henri Lebesgue 4, 1005-1034 (2021). MSC: 60K35 82C41 PDFBibTeX XMLCite \textit{S. Chhita} and \textit{F. Toninelli}, Ann. Henri Lebesgue 4, 1005--1034 (2021; Zbl 1480.60288) Full Text: DOI arXiv
Giuliani, Alessandro; Mastropietro, Vieri; Toninelli, Fabio Lucio Non-integrable dimers: universal fluctuations of tilted height profiles. (English) Zbl 1446.82010 Commun. Math. Phys. 377, No. 3, 1883-1959 (2020). MSC: 82B20 82B23 82B28 82B27 PDFBibTeX XMLCite \textit{A. Giuliani} et al., Commun. Math. Phys. 377, No. 3, 1883--1959 (2020; Zbl 1446.82010) Full Text: DOI arXiv
Bodineau, Thierry (ed.); Toninelli, Fabio L. (ed.); Tóth, Bálint (ed.) Large scale stochastic dynamics. Abstracts from the workshop held September 15–21, 2019. (English) Zbl 1450.00006 Oberwolfach Rep. 16, No. 3, 2605-2669 (2019). MSC: 00B05 00B25 60-06 60K35 74Qxx 82C22 76P05 82B40 PDFBibTeX XMLCite \textit{T. Bodineau} (ed.) et al., Oberwolfach Rep. 16, No. 3, 2605--2669 (2019; Zbl 1450.00006) Full Text: DOI
Chhita, Sunil; Ferrari, Patrik L.; Toninelli, Fabio L. Speed and fluctuations for some driven dimer models. (English) Zbl 1431.05036 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 6, No. 4, 489-532 (2019). MSC: 05B45 82C22 60K35 60G55 PDFBibTeX XMLCite \textit{S. Chhita} et al., Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 6, No. 4, 489--532 (2019; Zbl 1431.05036) Full Text: DOI arXiv
Borodin, Alexei; Toninelli, Fabio Two-dimensional anisotropic KPZ growth and limit shapes. (English) Zbl 1457.82283 J. Stat. Mech. Theory Exp. 2018, No. 8, Article ID 083205, 17 p. (2018). MSC: 82C24 82C22 PDFBibTeX XMLCite \textit{A. Borodin} and \textit{F. Toninelli}, J. Stat. Mech. Theory Exp. 2018, No. 8, Article ID 083205, 17 p. (2018; Zbl 1457.82283) Full Text: DOI arXiv Link
Laslier, Benoît; Toninelli, Fabio Lucio Lozenge tiling dynamics and convergence to the hydrodynamic equation. (English) Zbl 1431.37006 Commun. Math. Phys. 358, No. 3, 1117-1149 (2018). MSC: 37A60 37A50 35Q35 82B20 PDFBibTeX XMLCite \textit{B. Laslier} and \textit{F. L. Toninelli}, Commun. Math. Phys. 358, No. 3, 1117--1149 (2018; Zbl 1431.37006) Full Text: DOI arXiv
Giuliani, Alessandro; Mastropietro, Vieri; Toninelli, Fabio Lucio Haldane relation for interacting dimers. (English) Zbl 1457.82070 J. Stat. Mech. Theory Exp. 2017, No. 3, Article ID 034002, 47 p. (2017). MSC: 82B20 PDFBibTeX XMLCite \textit{A. Giuliani} et al., J. Stat. Mech. Theory Exp. 2017, No. 3, Article ID 034002, 47 p. (2017; Zbl 1457.82070) Full Text: DOI arXiv
Caputo, Pietro; Martinelli, Fabio; Toninelli, Fabio Lucio Entropic repulsion in \(|\nabla \phi |^p\) surfaces: a large deviation bound for all \(p\geq 1\). (English) Zbl 1375.60134 Boll. Unione Mat. Ital. 10, No. 3, 451-466 (2017). MSC: 60K35 60F10 82B41 82C24 PDFBibTeX XMLCite \textit{P. Caputo} et al., Boll. Unione Mat. Ital. 10, No. 3, 451--466 (2017; Zbl 1375.60134) Full Text: DOI arXiv
Laslier, Benoît; Toninelli, Fabio Lucio Hydrodynamic limit equation for a lozenge tiling Glauber dynamics. (English) Zbl 1375.82082 Ann. Henri Poincaré 18, No. 6, 2007-2043 (2017). Reviewer: Guy Jumarie (Montréal) MSC: 82C24 60J67 35K55 PDFBibTeX XMLCite \textit{B. Laslier} and \textit{F. L. Toninelli}, Ann. Henri Poincaré 18, No. 6, 2007--2043 (2017; Zbl 1375.82082) Full Text: DOI arXiv
Borodin, Alexei; Corwin, Ivan; Toninelli, Fabio Lucio Stochastic heat equation limit of a \((2+1)\mathrm{d}\) growth model. (English) Zbl 1360.82063 Commun. Math. Phys. 350, No. 3, 957-984 (2017). MSC: 82C24 82C22 60H15 35Q82 82C35 PDFBibTeX XMLCite \textit{A. Borodin} et al., Commun. Math. Phys. 350, No. 3, 957--984 (2017; Zbl 1360.82063) Full Text: DOI arXiv
Caputo, Pietro; Martinelli, Fabio; Toninelli, Fabio Lucio On the probability of staying above a wall for the \((2+1)\)-dimensional SOS model at low temperature. (English) Zbl 1345.60112 Probab. Theory Relat. Fields 163, No. 3-4, 803-831 (2015). Reviewer: Renming Song (Urbana) MSC: 60K35 60F10 82B41 82C24 PDFBibTeX XMLCite \textit{P. Caputo} et al., Probab. Theory Relat. Fields 163, No. 3--4, 803--831 (2015; Zbl 1345.60112) Full Text: DOI arXiv
Lacoin, Hubert; Simenhaus, François; Toninelli, Fabio The heat equation shrinks Ising droplets to points. (English) Zbl 1337.82017 Commun. Pure Appl. Math. 68, No. 9, 1640-1681 (2015). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C44 82C20 82C24 35K05 60J50 82C41 PDFBibTeX XMLCite \textit{H. Lacoin} et al., Commun. Pure Appl. Math. 68, No. 9, 1640--1681 (2015; Zbl 1337.82017) Full Text: DOI arXiv
Laslier, Benoît; Toninelli, Fabio Lucio Lozenge tilings, Glauber dynamics and macroscopic shape. (English) Zbl 1329.60339 Commun. Math. Phys. 338, No. 3, 1287-1326 (2015). Reviewer: Anton Shutov (Vladimir) MSC: 60K35 82C20 05B45 52C20 PDFBibTeX XMLCite \textit{B. Laslier} and \textit{F. L. Toninelli}, Commun. Math. Phys. 338, No. 3, 1287--1326 (2015; Zbl 1329.60339) Full Text: DOI arXiv
Ioffe, Dmitry; Shlosman, Senya; Toninelli, Fabio Lucio Interaction versus entropic repulsion for low temperature Ising polymers. (English) Zbl 1321.82014 J. Stat. Phys. 158, No. 5, 1007-1050 (2015). MSC: 82B20 82B41 82B24 82D60 PDFBibTeX XMLCite \textit{D. Ioffe} et al., J. Stat. Phys. 158, No. 5, 1007--1050 (2015; Zbl 1321.82014) Full Text: DOI arXiv
Lacoin, Hubert; Simenhaus, François; Toninelli, Fabio Lucio Zero-temperature 2D stochastic Ising model and anisotropic curve-shortening flow. (English) Zbl 1320.60158 J. Eur. Math. Soc. (JEMS) 16, No. 12, 2557-2615 (2014). Reviewer: Boris Granovsky (Haifa) MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{H. Lacoin} et al., J. Eur. Math. Soc. (JEMS) 16, No. 12, 2557--2615 (2014; Zbl 1320.60158) Full Text: DOI
Caputo, Pietro; Lubetzky, Eyal; Martinelli, Fabio; Sly, Allan; Toninelli, Fabio Lucio Dynamics of \((2+1)\)-dimensional SOS surfaces above a wall: slow mixing induced by entropic repulsion. (English) Zbl 1311.60114 Ann. Probab. 42, No. 4, 1516-1589 (2014). Reviewer: Allan Gut (Uppsala) MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{P. Caputo} et al., Ann. Probab. 42, No. 4, 1516--1589 (2014; Zbl 1311.60114) Full Text: DOI arXiv
Berger, Quentin; Toninelli, Fabio Lucio Hierarchical pinning model in correlated random environment. (English. French summary) Zbl 1281.82013 Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 3, 781-816 (2013). Reviewer: Eugene Postnikov (Kursk) MSC: 82B44 82D60 60K37 82B26 82B27 PDFBibTeX XMLCite \textit{Q. Berger} and \textit{F. L. Toninelli}, Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 3, 781--816 (2013; Zbl 1281.82013) Full Text: DOI arXiv Euclid
Lubetzky, Eyal; Martinelli, Fabio; Sly, Allan; Toninelli, Fabio Lucio Quasi-polynomial mixing of the 2D stochastic Ising model with “plus” boundary up to criticality. (English) Zbl 1266.60161 J. Eur. Math. Soc. (JEMS) 15, No. 2, 339-386 (2013). Reviewer: Guy Jumarie (Montréal) MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{E. Lubetzky} et al., J. Eur. Math. Soc. (JEMS) 15, No. 2, 339--386 (2013; Zbl 1266.60161) Full Text: DOI arXiv
Caputo, Pietro; Lubetzky, Eyal; Martinelli, Fabio; Sly, Allan; Toninelli, Fabio Lucio The shape of the \((2+1)\)D SOS surface above a wall. (English. French summary) Zbl 1257.82019 C. R., Math., Acad. Sci. Paris 350, No. 13-14, 703-706 (2012). Reviewer: Utkir Rozikov (Tashkent) MSC: 82B20 82B24 PDFBibTeX XMLCite \textit{P. Caputo} et al., C. R., Math., Acad. Sci. Paris 350, No. 13--14, 703--706 (2012; Zbl 1257.82019) Full Text: DOI arXiv
Caputo, Pietro; Lacoin, Hubert; Martinelli, Fabio; Simenhaus, François; Toninelli, Fabio Lucio Polymer dynamics in the depinned phase: metastability with logarithmic barriers. (English) Zbl 1262.60093 Probab. Theory Relat. Fields 153, No. 3-4, 587-641 (2012). Reviewer: Valeria Ricci (Rome) MSC: 60K35 82C20 PDFBibTeX XMLCite \textit{P. Caputo} et al., Probab. Theory Relat. Fields 153, No. 3--4, 587--641 (2012; Zbl 1262.60093) Full Text: DOI arXiv
Bernardin, Cédric; Toninelli, Fabio Lucio A one-dimensional coagulation-fragmentation process with a dynamical phase transition. (English) Zbl 1253.82063 Stochastic Processes Appl. 122, No. 4, 1672-1708 (2012). Reviewer: Alexander V. Bulinski (Moskva) MSC: 82C26 60G99 60F99 PDFBibTeX XMLCite \textit{C. Bernardin} and \textit{F. L. Toninelli}, Stochastic Processes Appl. 122, No. 4, 1672--1708 (2012; Zbl 1253.82063) Full Text: DOI arXiv
Caputo, Pietro; Martinelli, Fabio; Toninelli, Fabio Lucio Mixing times of monotone surfaces and SOS interfaces: a mean curvature approach. (English) Zbl 1276.82034 Commun. Math. Phys. 311, No. 1, 157-189 (2012). MSC: 82C24 60J10 PDFBibTeX XMLCite \textit{P. Caputo} et al., Commun. Math. Phys. 311, No. 1, 157--189 (2012; Zbl 1276.82034) Full Text: DOI arXiv
Giacomin, Giambattista; Lacoin, Hubert; Toninelli, Fabio Lucio Disorder relevance at marginality and critical point shift. (English. French summary) Zbl 1210.82036 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 148-175 (2011). MSC: 82B44 60K35 82B27 60K37 PDFBibTeX XMLCite \textit{G. Giacomin} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 148--175 (2011; Zbl 1210.82036) Full Text: DOI arXiv EuDML
Martinelli, Fabio; Toninelli, Fabio Lucio On the mixing time of the 2D stochastic Ising model with “Plus” boundary conditions at low temperature. (English) Zbl 1191.82012 Commun. Math. Phys. 296, No. 1, 175-213 (2010). MSC: 82B20 PDFBibTeX XMLCite \textit{F. Martinelli} and \textit{F. L. Toninelli}, Commun. Math. Phys. 296, No. 1, 175--213 (2010; Zbl 1191.82012) Full Text: DOI arXiv
Giacomin, Giambattista; Lacoin, Hubert; Toninelli, Fabio Lucio Hierarchical pinning models, quadratic maps and quenched disorder. (English) Zbl 1190.60093 Probab. Theory Relat. Fields 147, No. 1-2, 185-216 (2010). Reviewer: Guy Jumarie (Montréal) MSC: 60K35 82B44 37H10 PDFBibTeX XMLCite \textit{G. Giacomin} et al., Probab. Theory Relat. Fields 147, No. 1--2, 185--216 (2010; Zbl 1190.60093) Full Text: DOI arXiv
Giacomin, Giambattista; Toninelli, Fabio; Lacoin, Hubert Marginal relevance of disorder for pinning models. (English) Zbl 1189.60173 Commun. Pure Appl. Math. 63, No. 2, 233-265 (2010). Reviewer: Utkir Rozikov (Tashkent) MSC: 60K35 60F17 PDFBibTeX XMLCite \textit{G. Giacomin} et al., Commun. Pure Appl. Math. 63, No. 2, 233--265 (2010; Zbl 1189.60173) Full Text: DOI arXiv
Derrida, Bernard; Giacomin, Giambattista; Lacoin, Hubert; Toninelli, Fabio Lucio Fractional moment bounds and disorder relevance for pinning models. (English) Zbl 1226.82028 Commun. Math. Phys. 287, No. 3, 867-887 (2009). MSC: 82B44 82D30 82B26 82B27 PDFBibTeX XMLCite \textit{B. Derrida} et al., Commun. Math. Phys. 287, No. 3, 867--887 (2009; Zbl 1226.82028) Full Text: DOI arXiv
Giacomin, Giambattista; Toninelli, Fabio Lucio On the irrelevant disorder regime of pinning models. (English) Zbl 1181.60148 Ann. Probab. 37, No. 5, 1841-1875 (2009). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60K35 60K37 60K05 82B41 82B44 PDFBibTeX XMLCite \textit{G. Giacomin} and \textit{F. L. Toninelli}, Ann. Probab. 37, No. 5, 1841--1875 (2009; Zbl 1181.60148) Full Text: DOI arXiv
Bodineau, Thierry; Giacomin, Giambattista; Lacoin, Hubert; Toninelli, Fabio Lucio Copolymers at selective interfaces: New bounds on the phase diagram. (English) Zbl 1157.82025 J. Stat. Phys. 132, No. 4, 603-626 (2008). MSC: 82B44 82D60 82B27 PDFBibTeX XMLCite \textit{T. Bodineau} et al., J. Stat. Phys. 132, No. 4, 603--626 (2008; Zbl 1157.82025) Full Text: DOI arXiv
Toninelli, Fabio Lucio Disordered pinning models and copolymers: Beyond annealed bounds. (English) Zbl 1157.60090 Ann. Appl. Probab. 18, No. 4, 1569-1587 (2008). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60K35 82B44 60K05 PDFBibTeX XMLCite \textit{F. L. Toninelli}, Ann. Appl. Probab. 18, No. 4, 1569--1587 (2008; Zbl 1157.60090) Full Text: DOI arXiv
Toninelli, Fabio Lucio A replica-coupling approach to disordered pinning models. (English) Zbl 1207.82026 Commun. Math. Phys. 280, No. 2, 389-401 (2008). Reviewer: Guy Jumarie (Montréal) MSC: 82B44 82B31 PDFBibTeX XMLCite \textit{F. L. Toninelli}, Commun. Math. Phys. 280, No. 2, 389--401 (2008; Zbl 1207.82026) Full Text: DOI arXiv
Toninelli, Fabio Lucio Critical properties and finite-size estimates for the depinning transition of directed random polymers. (English) Zbl 1122.82053 J. Stat. Phys. 126, No. 4-5, 1025-1044 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 82D60 82B26 82B27 PDFBibTeX XMLCite \textit{F. L. Toninelli}, J. Stat. Phys. 126, No. 4--5, 1025--1044 (2007; Zbl 1122.82053) Full Text: DOI arXiv
Giacomin, Giambattista; Toninelli, Fabio Lucio Smoothing effect of quenched disorder on polymer depinning transitions. (English) Zbl 1113.82032 Commun. Math. Phys. 266, No. 1, 1-16 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 82B44 82B27 82D60 PDFBibTeX XMLCite \textit{G. Giacomin} and \textit{F. L. Toninelli}, Commun. Math. Phys. 266, No. 1, 1--16 (2006; Zbl 1113.82032) Full Text: DOI arXiv
Giacomin, Giambattista; Toninelli, Fabio Lucio Estimates on path delocalization for copolymers at selective interfaces. (English) Zbl 1098.60089 Probab. Theory Relat. Fields 133, No. 4, 464-482 (2005). Reviewer: Wolfgang König (Leipzig) MSC: 60K35 82B41 82B44 PDFBibTeX XMLCite \textit{G. Giacomin} and \textit{F. L. Toninelli}, Probab. Theory Relat. Fields 133, No. 4, 464--482 (2005; Zbl 1098.60089) Full Text: DOI arXiv
Guerra, Francesco; Toninelli, Fabio Lucio Quadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model. (English) Zbl 1060.82023 J. Math. Phys. 43, No. 7, 3704-3716 (2002). MSC: 82B44 82D30 PDFBibTeX XMLCite \textit{F. Guerra} and \textit{F. L. Toninelli}, J. Math. Phys. 43, No. 7, 3704--3716 (2002; Zbl 1060.82023) Full Text: DOI arXiv