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
Gonçalves, Patrícia; Hayashi, Kohei Derivation of anomalous behavior from interacting oscillators in the high-temperature regime. (English) Zbl 07751287 Commun. Math. Phys. 403, No. 3, 1193-1243 (2023). MSC: 82Cxx 60Kxx 60Hxx PDFBibTeX XMLCite \textit{P. Gonçalves} and \textit{K. Hayashi}, Commun. Math. Phys. 403, No. 3, 1193--1243 (2023; Zbl 07751287) Full Text: DOI arXiv OA License
Gomez, Chistophe; Iyer, Gautam; Le, Hai; Novikov, Alexei An oscillator driven by algebraically decorrelating noise. (English) Zbl 1525.60072 Commun. Math. Phys. 402, No. 1, 231-284 (2023). MSC: 60H10 60J60 60F05 37H15 PDFBibTeX XMLCite \textit{C. Gomez} et al., Commun. Math. Phys. 402, No. 1, 231--284 (2023; Zbl 1525.60072) Full Text: DOI arXiv
Komorowski, Tomasz; Lebowitz, Joel L.; Olla, Stefano Heat flow in a periodically forced, thermostatted chain. (English) Zbl 07692745 Commun. Math. Phys. 400, No. 3, 2181-2225 (2023). MSC: 82Cxx 60Gxx 60Hxx PDFBibTeX XMLCite \textit{T. Komorowski} et al., Commun. Math. Phys. 400, No. 3, 2181--2225 (2023; Zbl 07692745) Full Text: DOI arXiv
Yang, Kevin Kardar-Parisi-Zhang equation from long-range exclusion processes. (English) Zbl 07692733 Commun. Math. Phys. 400, No. 3, 1535-1663 (2023). MSC: 82Cxx 60Hxx 60Kxx PDFBibTeX XMLCite \textit{K. Yang}, Commun. Math. Phys. 400, No. 3, 1535--1663 (2023; Zbl 07692733) Full Text: DOI arXiv
Hairer, Martin; Li, Xue-Mei Generating diffusions with fractional Brownian motion. (English) Zbl 1510.60028 Commun. Math. Phys. 396, No. 1, 91-141 (2022). MSC: 60G22 60H10 60L20 PDFBibTeX XMLCite \textit{M. Hairer} and \textit{X.-M. Li}, Commun. Math. Phys. 396, No. 1, 91--141 (2022; Zbl 1510.60028) Full Text: DOI arXiv
Doyon, Benjamin Hydrodynamic projections and the emergence of linearised Euler equations in one-dimensional isolated systems. (English) Zbl 1489.82054 Commun. Math. Phys. 391, No. 1, 293-356 (2022). MSC: 82C22 81V70 81Q10 46L60 35Q31 PDFBibTeX XMLCite \textit{B. Doyon}, Commun. Math. Phys. 391, No. 1, 293--356 (2022; Zbl 1489.82054) Full Text: DOI arXiv
Bouin, Emeric; Dolbeault, Jean; Lafleche, Laurent Fractional hypocoercivity. (English) Zbl 1487.35369 Commun. Math. Phys. 390, No. 3, 1369-1411 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q84 35Q20 82C40 35B40 26A33 35R11 PDFBibTeX XMLCite \textit{E. Bouin} et al., Commun. Math. Phys. 390, No. 3, 1369--1411 (2022; Zbl 1487.35369) Full Text: DOI arXiv
Hannani, Amirali Hydrodynamic limit for a disordered quantum harmonic chain. (English) Zbl 1489.82069 Commun. Math. Phys. 390, No. 1, 349-423 (2022). MSC: 82C44 35Q31 81V70 PDFBibTeX XMLCite \textit{A. Hannani}, Commun. Math. Phys. 390, No. 1, 349--423 (2022; Zbl 1489.82069) Full Text: DOI arXiv
Dymov, Andrey; Kuksin, Sergei Formal expansions in stochastic model for wave turbulence. I: Kinetic limit. (English) Zbl 1482.35211 Commun. Math. Phys. 382, No. 2, 951-1014 (2021). MSC: 35Q55 35Q41 35L05 76B15 76F55 76M35 35R60 PDFBibTeX XMLCite \textit{A. Dymov} and \textit{S. Kuksin}, Commun. Math. Phys. 382, No. 2, 951--1014 (2021; Zbl 1482.35211) Full Text: DOI arXiv
Fournier, Nicolas; Tardif, Camille One dimensional critical kinetic Fokker-Planck equations, Bessel and stable processes. (English) Zbl 1457.35085 Commun. Math. Phys. 381, No. 1, 143-173 (2021). Reviewer: Mohamed Majdoub (Dammam) MSC: 35Q84 60G55 60J65 82C40 PDFBibTeX XMLCite \textit{N. Fournier} and \textit{C. Tardif}, Commun. Math. Phys. 381, No. 1, 143--173 (2021; Zbl 1457.35085) Full Text: DOI arXiv
Lutsko, Christopher; Tóth, Bálint Invariance principle for the random Lorentz gas – beyond the Boltzmann-Grad limit. (English) Zbl 1462.82056 Commun. Math. Phys. 379, No. 2, 589-632 (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C40 76P05 76N15 60G55 PDFBibTeX XMLCite \textit{C. Lutsko} and \textit{B. Tóth}, Commun. Math. Phys. 379, No. 2, 589--632 (2020; Zbl 1462.82056) Full Text: DOI arXiv
Hilário, Marcelo R.; Kious, Daniel; Teixeira, Augusto Random walk on the simple symmetric exclusion process. (English) Zbl 1453.82055 Commun. Math. Phys. 379, No. 1, 61-101 (2020). MSC: 82C22 82C41 60K37 60F17 PDFBibTeX XMLCite \textit{M. R. Hilário} et al., Commun. Math. Phys. 379, No. 1, 61--101 (2020; Zbl 1453.82055) Full Text: DOI arXiv
Saito, Keiji; Sasada, Makiko; Suda, Hayate \(5 / 6\)-superdiffusion of energy for coupled charged harmonic oscillators in a magnetic field. (English) Zbl 1435.82022 Commun. Math. Phys. 372, No. 1, 151-182 (2019). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 60K50 60G51 35Q20 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{K. Saito} et al., Commun. Math. Phys. 372, No. 1, 151--182 (2019; Zbl 1435.82022) Full Text: DOI arXiv
Bernardin, Cédric; Huveneers, François; Olla, Stefano Hydrodynamic limit for a disordered harmonic chain. (English) Zbl 1416.82016 Commun. Math. Phys. 365, No. 1, 215-237 (2019). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B44 81V70 82D30 PDFBibTeX XMLCite \textit{C. Bernardin} et al., Commun. Math. Phys. 365, No. 1, 215--237 (2019; Zbl 1416.82016) Full Text: DOI arXiv
Bernardin, Cédric; Gonçalves, Patrícia; Jara, Milton; Simon, Marielle Nonlinear perturbation of a noisy Hamiltonian lattice field model: universality persistence. (English) Zbl 1454.37072 Commun. Math. Phys. 361, No. 2, 605-659 (2018). MSC: 37K60 PDFBibTeX XMLCite \textit{C. Bernardin} et al., Commun. Math. Phys. 361, No. 2, 605--659 (2018; Zbl 1454.37072) Full Text: DOI arXiv
Saito, Keiji; Sasada, Makiko Thermal conductivity for coupled charged harmonic oscillators with noise in a magnetic field. (English) Zbl 1397.37056 Commun. Math. Phys. 361, No. 3, 951-995 (2018). Reviewer: George Stoica (Saint John) MSC: 37H10 37J05 80A23 82B05 82B31 PDFBibTeX XMLCite \textit{K. Saito} and \textit{M. Sasada}, Commun. Math. Phys. 361, No. 3, 951--995 (2018; Zbl 1397.37056) Full Text: DOI arXiv
Diehl, Joscha; Gubinelli, Massimiliano; Perkowski, Nicolas The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions. (English) Zbl 1378.60116 Commun. Math. Phys. 354, No. 2, 549-589 (2017). MSC: 60K35 35K59 35R60 60H15 82C05 PDFBibTeX XMLCite \textit{J. Diehl} et al., Commun. Math. Phys. 354, No. 2, 549--589 (2017; Zbl 1378.60116) Full Text: DOI arXiv
Fernando, Pani W.; Hausenblas, E.; Razafimandimby, Paul A. Irreducibility and exponential mixing of some stochastic hydrodynamical systems driven by pure jump noise. (English) Zbl 1354.60067 Commun. Math. Phys. 348, No. 2, 535-565 (2016). MSC: 60H15 60H10 60H30 60G51 60J75 PDFBibTeX XMLCite \textit{P. W. Fernando} et al., Commun. Math. Phys. 348, No. 2, 535--565 (2016; Zbl 1354.60067) Full Text: DOI
Franco, Tertuliano; Gonçalves, Patrícia; Simon, Marielle Crossover to the stochastic Burgers equation for the WASEP with a slow bond. (English) Zbl 1356.60169 Commun. Math. Phys. 346, No. 3, 801-838 (2016). Reviewer: Dominique Lepingle (Orléans) MSC: 60K35 60H15 60J75 PDFBibTeX XMLCite \textit{T. Franco} et al., Commun. Math. Phys. 346, No. 3, 801--838 (2016; Zbl 1356.60169) Full Text: DOI arXiv
Jara, Milton; Komorowski, Tomasz; Olla, Stefano Superdiffusion of energy in a chain of harmonic oscillators with noise. (English) Zbl 1329.82116 Commun. Math. Phys. 339, No. 2, 407-453 (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82D99 81Q80 PDFBibTeX XMLCite \textit{M. Jara} et al., Commun. Math. Phys. 339, No. 2, 407--453 (2015; Zbl 1329.82116) Full Text: DOI arXiv
Bernardin, Cédric; Huveneers, François; Lebowitz, Joel L.; Liverani, Carlangelo; Olla, Stefano Green-Kubo formula for weakly coupled systems with noise. (English) Zbl 1311.82038 Commun. Math. Phys. 334, No. 3, 1377-1412 (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 60F17 80A20 60G09 PDFBibTeX XMLCite \textit{C. Bernardin} et al., Commun. Math. Phys. 334, No. 3, 1377--1412 (2015; Zbl 1311.82038) Full Text: DOI HAL
Landim, C. Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes. (English) Zbl 1305.82045 Commun. Math. Phys. 330, No. 1, 1-32 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 82C26 60J25 60K35 82C22 PDFBibTeX XMLCite \textit{C. Landim}, Commun. Math. Phys. 330, No. 1, 1--32 (2014; Zbl 1305.82045) Full Text: DOI arXiv
Komorowski, Tomasz; Ryzhik, Lenya Long time energy transfer in the random Schrödinger equation. (English) Zbl 1296.35110 Commun. Math. Phys. 329, No. 3, 1131-1170 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q20 35Q55 35Q41 82C31 35Q84 PDFBibTeX XMLCite \textit{T. Komorowski} and \textit{L. Ryzhik}, Commun. Math. Phys. 329, No. 3, 1131--1170 (2014; Zbl 1296.35110) Full Text: DOI
Hernández, Freddy Equilibrium fluctuations for a non gradient energy conserving stochastic model. (English) Zbl 1288.82040 Commun. Math. Phys. 326, No. 3, 687-726 (2014). MSC: 82C22 60K35 60J60 PDFBibTeX XMLCite \textit{F. Hernández}, Commun. Math. Phys. 326, No. 3, 687--726 (2014; Zbl 1288.82040) Full Text: DOI arXiv
De Roeck, W.; Kupiainen, A. Diffusion for a quantum particle coupled to phonons in \(d \geq 3\). (English) Zbl 1277.82033 Commun. Math. Phys. 323, No. 3, 889-973 (2013). MSC: 82C10 60K35 82C28 60J60 PDFBibTeX XMLCite \textit{W. De Roeck} and \textit{A. Kupiainen}, Commun. Math. Phys. 323, No. 3, 889--973 (2013; Zbl 1277.82033) Full Text: DOI arXiv
Gomez, Christophe Wave decoherence for the random Schrödinger equation with long-range correlations. (English) Zbl 1288.35409 Commun. Math. Phys. 320, No. 1, 37-71 (2013). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q41 35R60 PDFBibTeX XMLCite \textit{C. Gomez}, Commun. Math. Phys. 320, No. 1, 37--71 (2013; Zbl 1288.35409) Full Text: DOI arXiv
De Roeck, W.; Fröhlich, J. Diffusion of a massive quantum particle coupled to a quasi-free thermal medium. (English) Zbl 1229.60106 Commun. Math. Phys. 303, No. 3, 613-707 (2011). Reviewer: Nicolas Privault (Singapore) MSC: 60K35 82C10 60J70 PDFBibTeX XMLCite \textit{W. De Roeck} and \textit{J. Fröhlich}, Commun. Math. Phys. 303, No. 3, 613--707 (2011; Zbl 1229.60106) Full Text: DOI arXiv
Clark, Jeremy; Maes, Christian Diffusive behavior for randomly kicked Newtonian particles in a spatially periodic medium. (English) Zbl 1214.60039 Commun. Math. Phys. 301, No. 1, 229-283 (2011). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J65 60F05 60G44 PDFBibTeX XMLCite \textit{J. Clark} and \textit{C. Maes}, Commun. Math. Phys. 301, No. 1, 229--283 (2011; Zbl 1214.60039) Full Text: DOI arXiv
Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya Limit of fluctuations of solutions of Wigner equation. (English) Zbl 1179.81056 Commun. Math. Phys. 292, No. 2, 479-510 (2009). MSC: 81Q05 35R60 60H40 82C70 81S30 81S22 PDFBibTeX XMLCite \textit{T. Komorowski} et al., Commun. Math. Phys. 292, No. 2, 479--510 (2009; Zbl 1179.81056) Full Text: DOI
Basile, Giada; Bernardin, Cédric; Olla, Stefano Thermal conductivity for a momentum conservative model. (English) Zbl 1178.82070 Commun. Math. Phys. 287, No. 1, 67-98 (2009). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 PDFBibTeX XMLCite \textit{G. Basile} et al., Commun. Math. Phys. 287, No. 1, 67--98 (2009; Zbl 1178.82070) Full Text: DOI arXiv
Komorowski, Tomasz; Ryzhik, Lenya Diffusion in a weakly random Hamiltonian flow. (English) Zbl 1170.37327 Commun. Math. Phys. 263, No. 2, 277-323 (2006). MSC: 37J35 60J60 60J65 82C05 82C44 PDFBibTeX XMLCite \textit{T. Komorowski} and \textit{L. Ryzhik}, Commun. Math. Phys. 263, No. 2, 277--323 (2006; Zbl 1170.37327) Full Text: DOI arXiv
Komorowski, T.; Krupa, G. On the asymptotic behavior of an Ornstein-Uhlenbeck process with random forcing. (English) Zbl 1130.82333 Commun. Math. Phys. 261, No. 2, 517-543 (2006). MSC: 82C44 82C05 60F15 76F25 76F55 PDFBibTeX XMLCite \textit{T. Komorowski} and \textit{G. Krupa}, Commun. Math. Phys. 261, No. 2, 517--543 (2006; Zbl 1130.82333) Full Text: DOI