M. Gubinelli and P. Rinaldi. Stochastic quantisation of the fractional \(\Phi^4_3\) model in the full subcritical regime. mar 2023. 10.48550/arXiv.2303.18112
M. Gubinelli, M. Hofmanová, and N. Rana. Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions. may 2023. 10.48550/arXiv.2305.12017
F. C. De Vecchi, L. Fresta, M. Gordina, and M. Gubinelli. Non-commutative \(L^p\) spaces and Grassmann stochastic analysis. may 2023. 10.48550/arXiv.2305.08497
G. Cannizzaro, M. Gubinelli, and F. Toninelli. Gaussian Fluctuations for the stochastic Burgers equation in dimension \(d \geqslant 2\). apr 2023. 10.48550/arXiv.2304.05730
F. C. De Vecchi, M. Gubinelli, and M. Turra. A singular integration by parts formula for the exponential Euclidean QFT on the plane. dec 2022. 10.48550/arXiv.2212.05584
F. C. De Vecchi, L. Fresta, and M. Gubinelli. A stochastic analysis of subcritical Euclidean fermionic field theories. oct 2022. 10.48550/arXiv.2210.15047
L. Galeati and M. Gubinelli. Mixing for generic rough shear flows. ArXiv:2107.12115 [math], jul 2021. 10.48550/arXiv.2107.12115
N. Barashkov and M. Gubinelli. On the variational method for euclidean quantum fields in infinite volume. ArXiv, arXiv:2112.05562, 2021.
L. Galeati and M. Gubinelli. Prevalence of \(\rho\)-irregularity and related properties. ArXiv:2004.00872 [math], apr 2020. 10.48550/arXiv.2004.00872
M. Gubinelli, H. Koch, and T. Oh. Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity. Journal of the European Mathematical Society, jan 2023. 10.4171/jems/1294
M. Gubinelli, H. Koch, T. Oh, and L. Tolomeo. Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations. International Mathematics Research Notices, 2022(21):16954–16999, oct 2022. 10.1093/imrn/rnab084
S. Albeverio, L. Borasi, F. C. De Vecchi, and M. Gubinelli. Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions. Probab. Theory Related Fields, 183(3-4):909–995, 2022. 10.1007/s00440-022-01136-x
M. Gubinelli and M. Hofmanová. A PDE construction of the Euclidean \(\Phi^4_3 \)quantum field theory. Communications in Mathematical Physics, 384(1):1–75, 2021. 10.1007/s00220-021-04022-0
L. Galeati and M. Gubinelli. Noiseless regularisation by noise. Revista Matemática Iberoamericana, jul 2021. 10.4171/RMI/1280
F. C. De Vecchi and M. Gubinelli. A Note on Supersymmetry and Stochastic Differential Equations. In S. Ugolini, M. Fuhrman, E. Mastrogiacomo, P. Morando, and B. Rüdiger, editors, Geometry and Invariance in Stochastic Dynamics, Springer Proceedings in Mathematics & Statistics, pages 71–87. Cham, 2021. Springer International Publishing. 10.1007/978-3-030-87432-2_5
N. Barashkov and M. Gubinelli. The \(\phi^4_3\) measure via Girsanov's theorem. Electronic Journal of Probability, 26:1–29, 2021. 10.1214/21-EJP635
S. Albeverio, F. C. De Vecchi, and M. Gubinelli. The elliptic stochastic quantization of some two dimensional Euclidean QFTs. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 57(4), nov 2021. 10.1214/20-AIHP1145
M. Gubinelli and N. Perkowski. The infinitesimal generator of the stochastic Burgers equation. Probability Theory and Related Fields, aug 2020. 10.1007/s00440-020-00996-5
M. Gubinelli and M. Turra. Hyperviscous stochastic Navier–Stokes equations with white noise invariant measure. Stochastics and Dynamics, page 2040005, 2020. 10.1142/S0219493720400055
N. Barashkov and M. Gubinelli. A variational method for \(\phi^4_3\). Duke Mathematical Journal, 169(17):3339–3415, 2020. 10.1215/00127094-2020-0029
S. Albeverio, F. C. De Vecchi, and M. Gubinelli. Elliptic stochastic quantization. Annals of Probability, 48(4):1693–1741, jul 2020. 10.1214/19-AOP1404
M. Gubinelli and M. Hofmanová. Global Solutions to Elliptic and Parabolic \(\varphi^4\) Models in Euclidean Space. Communications in Mathematical Physics, 368(3):1201–1266, jun 2019. 10.1007/s00220-019-03398-4
M. Gubinelli. Lectures on energy solutions for the stationary KPZ equation. In Singular Random Dynamics, pages 11–74. Springer, 2019. 10.1007/978-3-030-29545-5_2
M. Gubinelli, B. Ugurcan, and I. Zachhuber. Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions. Stochastics and Partial Differential Equations: Analysis and Computations, may 2019. 10.1007/s40072-019-00143-9
M. Furlan and M. Gubinelli. Paracontrolled quasilinear SPDEs. The Annals of Probability, 47(2):1096–1135, 2019. 10.1214/18-AOP1280
M. Furlan and M. Gubinelli. Weak universality for a class of 3d stochastic reaction-diffusion models. Probability Theory and Related Fields, 173(3-4):1099–1164, 2019. 10.1007/s00440-018-0849-6
A. Deya, M. Gubinelli, M. Hofmanová, and S. Tindel. One-dimensional reflected rough differential equations. Stochastic Processes and their Applications, 129(9):3261–3281, sep 2019. 10.1016/j.spa.2018.09.007
A. Deya, M. Gubinelli, M. Hofmanová, and S. Tindel. A priori estimates for rough PDEs with application to rough conservation laws. Journal of Functional Analysis, 276(12):3577–3645, jun 2019. 10.1016/j.jfa.2019.03.008
L. Beck, F. Flandoli, M. Gubinelli, and M. Maurelli. Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness. Electronic Journal of Probability, 24, 2019. 10.1214/19-EJP379
M. Gubinelli and N. Perkowski. Probabilistic Approach to the Stochastic Burgers Equation. In A. Eberle, M. Grothaus, W. Hoh, M. Kassmann, W. Stannat, and G. Trutnau, editors, Stochastic Partial Differential Equations and Related Fields, Springer Proceedings in Mathematics & Statistics, pages 515–527. Springer International Publishing, 2018. 10.1007/978-3-319-74929-7_35
M. Gubinelli and N. Perkowski. Energy solutions of KPZ are unique. Journal of the American Mathematical Society, 31(2):427–471, 2018. 10.1090/jams/889
M. Gubinelli and N. Perkowski. An Introduction to Singular SPDEs. In A. Eberle, M. Grothaus, W. Hoh, M. Kassmann, W. Stannat, and G. Trutnau, editors, Stochastic Partial Differential Equations and Related Fields, Springer Proceedings in Mathematics & Statistics, pages 69–99. Springer International Publishing, 2018. 10.1007/978-3-319-74929-7_4
M. Gubinelli, H. Koch, and T. Oh. Renormalization of the two-dimensional stochastic nonlinear wave equations. Transactions of the American Mathematical Society, page 1, 2018. 10.1090/tran/7452
M. Gubinelli. A panorama of singular SPDEs. In Proc. Int. Cong. of Math, volume 2, pages 2277–2304. 2018. https://eta.impa.br/dl/126.pdf
M. Gubinelli and N. Perkowski. KPZ Reloaded. Communications in Mathematical Physics, 349(1):165–269, jan 2017. 10.1007/s00220-016-2788-3
J. Diehl, M. Gubinelli, and N. Perkowski. The Kardar–Parisi–Zhang Equation as Scaling Limit of Weakly Asymmetric Interacting Brownian Motions. Communications in Mathematical Physics, 354(2):549–589, sep 2017. 10.1007/s00220-017-2918-6
I. Bailleul and M. Gubinelli. Unbounded rough drivers. Annales de la faculté des sciences de Toulouse Mathématiques, 26(4):795–830, 2017. 10.5802/afst.1553
M. Gubinelli and N. Perkowski. The Hairer–Quastel universality result at stationarity. In Stochastic Analysis on Large Scale Interacting Systems, RIMS Kôkyûroku Bessatsu, B59, pages 101–115. Res. Inst. Math. Sci. (RIMS), Kyoto, 2016. http://hdl.handle.net/2433/243596
M. Gubinelli, P. Imkeller, and N. Perkowski. A Fourier analytic approach to pathwise stochastic integration. Electronic Journal of Probability, 21:0, 2016. 10.1214/16-EJP3868
R. Catellier and M. Gubinelli. Averaging along irregular curves and regularisation of ODEs. Stochastic Processes and their Applications, 126(8):2323–2366, aug 2016. 10.1016/j.spa.2016.02.002
M. Gubinelli, P. Imkeller, and N. Perkowski. Paracontrolled distributions and singular PDEs. Forum of Mathematics. Pi, 3:0, 2015. 10.1017/fmp.2015.2
K. Chouk and M. Gubinelli. Nonlinear PDEs with Modulated Dispersion I: nonlinear Schrödinger Equations. Communications in Partial Differential Equations, 40(11):2047–2081, 2015. 10.1080/03605302.2015.1073300
M. Gubinelli, F. Hiroshima, and J. Lörinczi. Ultraviolet renormalization of the Nelson Hamiltonian through functional integration. Journal of Functional Analysis, 267(9):3125–3153, nov 2014. 10.1016/j.jfa.2014.08.002
M. Gubinelli and M. Jara. Regularization by noise and stochastic Burgers equations. Stochastic Partial Differential Equations. Analysis and Computations, 1(2):325–350, 2013. 10.1007/s40072-013-0011-5
Z. Brzeźniak, M. Gubinelli, and M. Neklyudov. Global solutions of the random vortex filament equation. Nonlinearity, 26(9):2499–2514, 2013. 10.1088/0951-7715/26/9/2499
M. Gubinelli. Rough solutions for the periodic Korteweg-de Vries equation. Communications on Pure and Applied Analysis, 11(2):709–733, 2012. 10.3934/cpaa.2012.11.709
F. Flandoli, M. Gubinelli, and E. Priola. Remarks on the stochastic transport equation with Hölder drift. Rendiconti del Seminario Matematico. Università e Politecnico Torino, 70(1):53–73, 2012. http://www.seminariomatematico.polito.it/rendiconti/70-1/53.pdf
A. Deya, M. Gubinelli, and S. Tindel. Non-linear rough heat equations. Probability Theory and Related Fields, 153(1-2):97–147, 2012. 10.1007/s00440-011-0341-z
M. Gubinelli. Abstract integration, combinatorics of trees and differential equations. In Combinatorics and Physics, volume 539 of Contemp. Math., pages 135–151. Amer. Math. Soc., Providence, RI, 2011. 10.1090/conm/539/10632
F. Flandoli, M. Gubinelli, and E. Priola. Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Stochastic Processes and their Applications, 121(7):1445–1463, 2011. 10.1016/j.spa.2011.03.004
M. Gubinelli and S. Tindel. Rough evolution equations. The Annals of Probability, 38(1):1–75, 2010. 10.1214/08-AOP437
M. Gubinelli. Ramification of rough paths. Journal of Differential Equations, 248(4):693–721, 2010. 10.1016/j.jde.2009.11.015
F. Flandoli, M. Gubinelli, and E. Priola. Does noise improve well-posedness of fluid dynamic equations? In Stochastic Partial Differential Equations and Applications, volume 25 of Quad. Mat., pages 139–155. Dept. Math., Seconda Univ. Napoli, Caserta, 2010. 10.4399/97888548439128
F. Flandoli, M. Gubinelli, and E. Priola. Well-posedness of the transport equation by stochastic perturbation. Inventiones Mathematicae, 180(1):1–53, 2010. 10.1007/s00222-009-0224-4
F. Flandoli, M. Gubinelli, and E. Priola. Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift. Bulletin des Sciences Mathématiques, 134(4):405–422, 2010. 10.1016/j.bulsci.2010.02.003
F. Caravenna, G. Giacomin, and M. Gubinelli. Large scale behavior of semiflexible heteropolymers. Annales de l'Institut Henri Poincaré Probabilités et Statistiques, 46(1):97–118, 2010. 10.1214/08-AIHP310
M. Gubinelli and J. Lörinczi. Gibbs measures on Brownian currents. Communications on Pure and Applied Mathematics, 62(1):1–56, 2009. 10.1002/cpa.20260
F. Flandoli, M. Gubinelli, and F. Russo. On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model. Annales de l'Institut Henri Poincaré Probabilités et Statistiques, 45(2):545–576, 2009. 10.1214/08-AIHP174
F. Flandoli, M. Gubinelli, M. Hairer, and M. Romito. Rigorous remarks about scaling laws in turbulent fluids. Communications in Mathematical Physics, 278(1):1–29, 2008. 10.1007/s00220-007-0398-9
L. C. Berselli and M. Gubinelli. On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows. Communications in Mathematical Physics, 269(3):693–713, 2007. 10.1007/s00220-006-0142-x
M. Gubinelli, A. Lejay, and S. Tindel. Young integrals and SPDEs. Potential Analysis, 25(4):307–326, 2006. 10.1007/s11118-006-9013-5
M. Gubinelli. Rooted trees for 3D Navier-Stokes equation. Dynamics of Partial Differential Equations, 3(2):161–172, 2006. 10.4310/DPDE.2006.v3.n2.a3
M. Gubinelli. Gibbs measures for self-interacting Wiener paths. Markov Processes and Related Fields, 12(4):747–766, 2006. http://math-mprf.org/journal/articles/id1102/
F. Caravenna, G. Giacomin, and M. Gubinelli. A numerical approach to copolymers at selective interfaces. Journal of Statistical Physics, 122(4):799–832, 2006. 10.1007/s10955-005-8081-z
F. Flandoli, M. Gubinelli, M. Giaquinta, and V. M. Tortorelli. Stochastic currents. Stochastic Processes and their Applications, 115(9):1583–1601, 2005. 10.1016/j.spa.2005.04.007
F. Flandoli and M. Gubinelli. Statistics of a vortex filament model. Electronic Journal of Probability, 10:0, 2005. 10.1214/EJP.v10-267
S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto. Critical Behavior of the Two-Dimensional Randomly Driven Lattice Gas. Phys. Rev E, 72, 2005. 10.1103/PhysRevE.72.056111
H. Bessaih, M. Gubinelli, and F. Russo. The evolution of a random vortex filament. The Annals of Probability, 33(5):1825–1855, 2005. 10.1214/009117905000000323
M. Gubinelli. Controlling rough paths. Journal of Functional Analysis, 216(1):86–140, 2004. 10.1016/j.jfa.2004.01.002
F. Flandoli and M. Gubinelli. Random currents and probabilistic models of vortex filaments. In Seminar on Stochastic Analysis, Random Fields and Applications IV, volume 58 of Progr. Probab., pages 129–139. Birkhäuser, Basel, 2004.
S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto. Reply to: “Comment on: ‘Transverse fluctuations in the driven lattice gas' ” [J. Phys. A 37 (2004), no. 33, 8189–8191] by E. V. Albano. Journal of Physics. A. Mathematical and General, 37(33):8193–8195, 2004. 10.1088/0305-4470/37/33/N02
S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto. Finite-size scaling in the driven lattice gas. Journal of statistical physics, 115(1-2):281–322, 2004. 10.1023/B:JOSS.0000019824.34397.1d
S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto. Comment on “Dynamic behavior of anisotropic non-equilibrium driven lattice gases”. Physical Review Letters, 92(2):29601, 2004. 10.1103/PhysRevLett.92.029601
S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto. Shape dependence of the finite-size scaling limit in a strongly anisotropic \(O (\infty)\) model. European Physical Journal B, 34:205–217, 2003. 10.1140/epjb/e2003-00213-5
S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto. Transverse fluctuactions in the driven lattice gas. Journal of Physics. A. Mathematical and General, 36:0, 2003. 10.1088/0305-4470/36/21/101
F. Flandoli and M. Gubinelli. The Gibbs ensemble of a vortex filament. Probability Theory and Related Fields, 122(3):317–340, 2002. 10.1007/s004400100163
F. Flandoli, S. Giordano, M. Gubinelli, G. Orlando, M. Pagano, and G. Procissi. Efficient Rare Events Simulation of Gaussian Processes. Информационные процессы, 2(2), 2002.
S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto. Finite-Size Correlation Length and Violations of Finite-Size Scaling. Eur. Phys. J. B, 20, 2001. 10.1007/BF01352587
M. Gubinelli, M. Sorel, O. Tonet, M. Atac, M. Mishina, and J. Valles. Measurement of the rate capabilities of SSPMs. Nucl. Instr. and Meth. A, 1998. 10.1016/S0168-9002(98)00211-3
M. Gubinelli and N. Perkowski. Lectures on Singular Stochastic PDEs, volume 29 of Ensaios Matemáticos [Mathematical Surveys]. Sociedade Brasileira de Matemática, Rio de Janeiro, 2015. 10.21711/217504322015/em291
M. Gubinelli. Finite-Size Scaling in Non-Equilibrium Critical Phenomena. PhD thesis, Universitá degli Studi, Pisa, 2002.
M. Gubinelli, J. van der Hoeven, F. Poulain, and D. Raux. GNU TEXMACS: towards a Scientific Office Suite. In International Congress on Mathematical Software, pages 562–569. Springer Berlin Heidelberg, 2014. 10.1007/978-3-662-44199-2_85
J. Van Der Hoeven, A. Grozin, M. Gubinelli, G. Lecerf, F. Poulain, and D. Raux. GNU TEXMACS: a scientific editing platform. ACM Communications in Computer Algebra, 47(1/2):59–61, 2013. 10.1145/2503697.2503708
S. Giordano, M. Gubinelli, and M. Pagano. Efficient Simulation of Overflow Probability for Gaussian Processes. In CCM 2009. 2009.
S. Giordano, M. Gubinelli, and M. Pagano. Rare events of Gaussian processes: a performance comparison between bridge Monte-Carlo and importance sampling. In International Conference on Next Generation Wired/Wireless Networking, volume 4712, pages 269–280. Springer Berlin Heidelberg, 2007.
S. Giordano, M. Gubinelli, and M. Pagano. Estimation of Rare Events in Gaussian Processes using Bridges. In RESIM 2006, pages 182–183. 2006.
S. Giordano, M. Gubinelli, and M. Pagano. Efficiency of the Bridge Monte Carlo method for Rare Events of Gaussian Processes. In PTAP 2006, pages 83–85. 2006.
S. Giordano, M. Gubinelli, and M. Pagano. Bridge Monte-Carlo: a novel approach to rare events of Gaussian processes. In Proceedings of the Fifth Workshop on Simulation, St. Petersburg. 2005.
S. Giordano, M. Gubinelli, and M. Pagano. Efficient estimation of Gaussian Overflow probabilities without Importance Sampling. In RESIM COP 04, volume 1. 2004.
M. Amorena, M. Barsanti, M. Gubinelli, F. Guzzo, E. Manfredi, M. Plancher, and M. Vitali. Controllo e diagnostica di un sistema di prova ingranaggi per applicazioni aeronautiche. In Atti Del XXXII Congresso AIAS, Salerno, pages 3–6. 2003.
F. Flandoli, S. Giordano, M. Gubinelli, G. Orlando, M. Pagano, and G. Procissi. Efficient Rare Events Simulation of Gaussian Processes. Информационные процессы, 2(2), 2002.
M. Amorena, M. Barsanti, M. Gubinelli, E. Manfredi, I. Moretto, and M. Vitali. Sull'impostazione di programmi di prove per ingranaggi. 2002.
T. Cass, D. Crisan, P. Friz, and M. Gubinelli. New Directions in Rough Path Theory. Oberwolfach Reports, 17(4):1955–2019, sep 2021. 10.4171/OWR/2020/40
M. Gubinelli, T. Souganidis, and N. Tzvetkov. Singular Random Dynamics : Cetraro, Italy 2016. C.I.M.E. Foundation Subseries. Springer International Publishing, 2019. 10.1007/978-3-030-29545-5
T. R. Cass, P. K. Friz, and M. Gubinelli. Rough Paths, Regularity Structures and Related Topics. Oberwolfach Reports, 13(2):1319–1406, 2016. 10.4171/OWR/2016/24
D. Crisan, P. K. Friz, and M. Gubinelli. Rough Paths and PDEs. Oberwolfach Reports, 9(3):2493–2540, 2012. 10.4171/OWR/2012/41
M. Gubinelli, S. Tindel, and I. Torrecilla. Controlled viscosity solutions of fully nonlinear rough PDEs. ArXiv:1403.2832 [math], mar 2014. 10.48550/arXiv.1403.2832
K. Chouk and M. Gubinelli. Rough sheets. ArXiv:1406.7748 [math], jun 2014. 10.48550/arXiv.1406.7748
K. Chouk and M. Gubinelli. Nonlinear PDEs with modulated dispersion II: Korteweg–de Vries equation. ArXiv:1406.7675 [math], jun 2014. 10.48550/arXiv.1406.7675
F. Flandoli, M. Giaquinta, M. Gubinelli, and V. M. Tortorelli. On a relation between stochastic integration and geometric measure theory. Arxiv preprint math/0211458, 2002. 10.48550/arXiv.math/0211458
S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto. Finite-Size Critical Behavior of the Driven Lattice Gas. Arxiv preprint cond-mat/0106221, 2001. 10.48550/arXiv.cond-mat/0106221