Paul, Thierry; Pulvirenti, Mario Asymptotic expansion of the mean-field approximation. (English) Zbl 1412.35285 Discrete Contin. Dyn. Syst. 39, No. 4, 1891-1921 (2019). MSC: 35Q40 35Q20 34E05 35C20 81V70 35Q55 PDFBibTeX XMLCite \textit{T. Paul} and \textit{M. Pulvirenti}, Discrete Contin. Dyn. Syst. 39, No. 4, 1891--1921 (2019; Zbl 1412.35285) 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
Paul, Thierry; Pulvirenti, Mario; Simonella, Sergio On the size of chaos in the mean field dynamics. (English) Zbl 1404.81117 Arch. Ration. Mech. Anal. 231, No. 1, 285-317 (2019). MSC: 81Q50 81V70 81Q10 81T27 82B31 PDFBibTeX XMLCite \textit{T. Paul} et al., Arch. Ration. Mech. Anal. 231, No. 1, 285--317 (2019; Zbl 1404.81117) Full Text: DOI arXiv
Hairer, Martin Renormalisation of parabolic stochastic PDEs. (English) Zbl 1430.60055 Jpn. J. Math. (3) 13, No. 2, 187-233 (2018). MSC: 60H15 35R60 81S20 PDFBibTeX XMLCite \textit{M. Hairer}, Jpn. J. Math. (3) 13, No. 2, 187--233 (2018; Zbl 1430.60055) Full Text: DOI arXiv
Marklof, Jens; Yesha, Nadav Pair correlation for quadratic polynomials mod 1. (English) Zbl 1406.11069 Compos. Math. 154, No. 5, 960-983 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11J71 11F27 37A17 37D40 81Q50 PDFBibTeX XMLCite \textit{J. Marklof} and \textit{N. Yesha}, Compos. Math. 154, No. 5, 960--983 (2018; Zbl 1406.11069) Full Text: DOI arXiv
Mananga, Eugene Stephane; Charpentier, Thibault On the Floquet-Magnus expansion: applications in solid-state nuclear magnetic resonance and physics. (English) Zbl 1357.81114 Phys. Rep. 609, 1-49 (2016). MSC: 81R15 81R05 81R10 81Q15 34L10 PDFBibTeX XMLCite \textit{E. S. Mananga} and \textit{T. Charpentier}, Phys. Rep. 609, 1--49 (2016; Zbl 1357.81114) Full Text: DOI
Muminov, M. É.; Rasulov, T. Kh. An eigenvalue multiplicity formula for the Schur complement of a \(3\times3\) block operator matrix. (English. Russian original) Zbl 1323.47010 Sib. Math. J. 56, No. 4, 699-713 (2015); translation from Sib. Mat. Zh. 56, No. 4, 878-895 (2015). MSC: 47A56 81Q10 PDFBibTeX XMLCite \textit{M. É. Muminov} and \textit{T. Kh. Rasulov}, Sib. Math. J. 56, No. 4, 699--713 (2015; Zbl 1323.47010); translation from Sib. Mat. Zh. 56, No. 4, 878--895 (2015) Full Text: DOI
Conlon, Joseph G.; Fahim, Arash Strong convergence to the homogenized limit of parabolic equations with random coefficients. (English) Zbl 1316.81068 Trans. Am. Math. Soc. 367, No. 5, 3041-3093 (2015). Reviewer: Jochen Zahn (Leipzig) MSC: 81T08 82B20 35R60 60J75 PDFBibTeX XMLCite \textit{J. G. Conlon} and \textit{A. Fahim}, Trans. Am. Math. Soc. 367, No. 5, 3041--3093 (2015; Zbl 1316.81068) Full Text: DOI arXiv
Dudnikova, T. V. Deriving hydrodynamic equations for lattice systems. (English. Russian original) Zbl 1274.82066 Theor. Math. Phys. 169, No. 3, 1668-1682 (2011); translation from Teor. Mat. Fiz. 169, No. 3, 352-367 (2011). MSC: 82D25 28C20 76D05 81T27 PDFBibTeX XMLCite \textit{T. V. Dudnikova}, Theor. Math. Phys. 169, No. 3, 1668--1682 (2011; Zbl 1274.82066); translation from Teor. Mat. Fiz. 169, No. 3, 352--367 (2011) Full Text: DOI
de Oliveira, César R.; Simsen, Mariza S. Quantum energy expectation in periodic time-dependent Hamiltonians via Green functions. (English) Zbl 1184.81055 Math. Probl. Eng. 2009, Article ID 902506, 30 p. (2009). MSC: 81Q05 34B27 PDFBibTeX XMLCite \textit{C. R. de Oliveira} and \textit{M. S. Simsen}, Math. Probl. Eng. 2009, Article ID 902506, 30 p. (2009; Zbl 1184.81055) Full Text: DOI arXiv EuDML
Duclos, P.; Soccorsi, E.; Šťovíček, P.; Vittot, M. On the stability of periodically time-dependent quantum systems. (English) Zbl 1170.81024 Rev. Math. Phys. 20, No. 6, 725-764 (2008). Reviewer: Giulio Landolfi (Lecce) MSC: 81Q10 81Q50 35B30 35Q40 PDFBibTeX XMLCite \textit{P. Duclos} et al., Rev. Math. Phys. 20, No. 6, 725--764 (2008; Zbl 1170.81024) Full Text: DOI arXiv
Duclos, Pierre; Lev, Ondra; Šťovíček, Pavel On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum. (English) Zbl 1134.81023 J. Stat. Phys. 130, No. 1, 169-193 (2008). MSC: 81Q10 47N50 PDFBibTeX XMLCite \textit{P. Duclos} et al., J. Stat. Phys. 130, No. 1, 169--193 (2008; Zbl 1134.81023) Full Text: DOI arXiv
de Oliveira, César R.; Simsen, Mariza S. Almost periodic orbits and stability for quantum time-dependent Hamiltonians. (English) Zbl 1192.81153 Rep. Math. Phys. 60, No. 3, 349-366 (2007). MSC: 81Q10 11K70 70H12 PDFBibTeX XMLCite \textit{C. R. de Oliveira} and \textit{M. S. Simsen}, Rep. Math. Phys. 60, No. 3, 349--366 (2007; Zbl 1192.81153) Full Text: DOI arXiv
Sewell, Geoffrey Quantum stochastic models with hydrodynamical behaviour. (English) Zbl 1143.81311 Rep. Math. Phys. 59, No. 2, 243-255 (2007). MSC: 81S25 82C10 PDFBibTeX XMLCite \textit{G. Sewell}, Rep. Math. Phys. 59, No. 2, 243--255 (2007; Zbl 1143.81311) Full Text: DOI arXiv
McCaw, James; McKellar, B. H. J. Pure point spectrum for the time evolution of a periodically rank-\(N\) kicked Hamiltonian. (English) Zbl 1076.81016 J. Math. Phys. 46, No. 3, 032108, 24 p. (2005). MSC: 81Q10 47B25 47N50 81Q50 PDFBibTeX XMLCite \textit{J. McCaw} and \textit{B. H. J. McKellar}, J. Math. Phys. 46, No. 3, 032108, 24 p. (2005; Zbl 1076.81016) Full Text: DOI arXiv
Nenciu, G. Adiabatic theory: Stability of systems with increasing gaps. (English) Zbl 0884.34088 Ann. Inst. Henri Poincaré, Phys. Théor. 67, No. 4, 411-424 (1997). Reviewer: L.A.Sakhnovich (Odessa) MSC: 34L40 81Q10 PDFBibTeX XMLCite \textit{G. Nenciu}, Ann. Inst. Henri Poincaré, Phys. Théor. 67, No. 4, 411--424 (1997; Zbl 0884.34088) Full Text: Numdam EuDML
Joye, Alain Upper bounds for the energy expectation in time-dependent quantum mechanics. (English) Zbl 0952.47500 J. Stat. Phys. 85, No. 5-6, 575-606 (1996). MSC: 47N50 81Q15 PDFBibTeX XMLCite \textit{A. Joye}, J. Stat. Phys. 85, No. 5--6, 575--606 (1996; Zbl 0952.47500) Full Text: DOI
de Oliveira, César R. Some remarks concerning stability for nonstationary quantum systems. (English) Zbl 1078.81527 J. Stat. Phys. 78, No. 3-4, 1055-1066 (1995). MSC: 81Q50 81Q10 PDFBibTeX XMLCite \textit{C. R. de Oliveira}, J. Stat. Phys. 78, No. 3--4, 1055--1066 (1995; Zbl 1078.81527) Full Text: DOI
Baeta Segundo, J. A.; Hey, Heyder; Wreszinski, Walter F. On quantum stability for systems under quasiperiodic perturbations. (English) Zbl 0840.58050 J. Stat. Phys. 76, No. 5-6, 1479-1493 (1994). MSC: 81Q10 81R30 PDFBibTeX XMLCite \textit{J. A. Baeta Segundo} et al., J. Stat. Phys. 76, No. 5--6, 1479--1493 (1994; Zbl 0840.58050) Full Text: DOI
Bazzani, A.; Siboni, S.; Turchetti, G.; Vaienti, S. A model of modulated diffusion. I: Analytical results. (English) Zbl 0839.60073 J. Stat. Phys. 76, No. 3-4, 929-967 (1994). MSC: 60J70 81T70 PDFBibTeX XMLCite \textit{A. Bazzani} et al., J. Stat. Phys. 76, No. 3--4, 929--967 (1994; Zbl 0839.60073) Full Text: DOI
Nerurkar, M. G.; Jauslin, H. R. Stability of oscillators driven by ergodic processes. (English) Zbl 0803.58035 J. Math. Phys. 35, No. 2, 628-645 (1994). MSC: 37A99 81Q10 PDFBibTeX XMLCite \textit{M. G. Nerurkar} and \textit{H. R. Jauslin}, J. Math. Phys. 35, No. 2, 628--645 (1994; Zbl 0803.58035) Full Text: DOI
Combescure, M. Recurrent versus diffusive dynamics for a kicked quantum oscillator. (English) Zbl 0766.58061 Ann. Inst. Henri Poincaré, Phys. Théor. 57, No. 1, 67-87 (1992). Reviewer: G.Roepstorff (Aachen) MSC: 58Z05 11B85 81Q50 PDFBibTeX XMLCite \textit{M. Combescure}, Ann. Inst. Henri Poincaré, Phys. Théor. 57, No. 1, 67--87 (1992; Zbl 0766.58061) Full Text: Numdam EuDML
Blekher, P. M.; Jauslin, H. R.; Lebowitz, J. L. Floquet spectrum for two-level systems in quasiperiodic time-dependent fields. (English) Zbl 0925.58074 J. Stat. Phys. 68, No. 1-2, 271-310 (1992). MSC: 37A30 81Q50 37J40 PDFBibTeX XMLCite \textit{P. M. Blekher} et al., J. Stat. Phys. 68, No. 1--2, 271--310 (1992; Zbl 0925.58074) Full Text: DOI
Jauslin, H. R. Chaotic properties in quantum scattering. (English) Zbl 0729.70505 Physica D 51, No. 1-3, 200-204 (1991). MSC: 70-XX 81Uxx PDFBibTeX XMLCite \textit{H. R. Jauslin}, Physica D 51, No. 1--3, 200--204 (1991; Zbl 0729.70505) Full Text: DOI
Jauslin, H. R.; Lebowitz, J. L. Spectral and stability aspects of quantum chaos. (English) Zbl 0899.58059 Chaos 1, No. 1, 114-121 (1991). MSC: 37N99 81Q50 81Q10 PDFBibTeX XMLCite \textit{H. R. Jauslin} and \textit{J. L. Lebowitz}, Chaos 1, No. 1, 114--121 (1991; Zbl 0899.58059) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions. (English) Zbl 0668.60093 Commun. Math. Phys. 123, No. 3, 377-424 (1989). MSC: 60K35 81P20 60J99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 123, No. 3, 377--424 (1989; Zbl 0668.60093) Full Text: DOI
Park, Yong Moon Existence and uniqueness of Gibbs states for a statistical mechanical polyacetylene model. (English) Zbl 0684.46064 J. Stat. Phys. 46, No. 3-4, 567-598 (1987). MSC: 46N99 46A55 46L60 82B05 81T25 PDFBibTeX XMLCite \textit{Y. M. Park}, J. Stat. Phys. 46, No. 3--4, 567--598 (1987; Zbl 0684.46064) Full Text: DOI
Bellissard, Jean; Høegh-Krohn, Raphael Compactness and the maximal Gibbs state for random Gibbs fields on a lattice. (English) Zbl 0495.60057 Commun. Math. Phys. 84, 297-327 (1982). MSC: 60G60 60K35 82B26 81T08 PDFBibTeX XMLCite \textit{J. Bellissard} and \textit{R. Høegh-Krohn}, Commun. Math. Phys. 84, 297--327 (1982; Zbl 0495.60057) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions. (English) Zbl 0443.60099 Commun. Math. Phys. 68, 95-128 (1979). MSC: 60K35 81P20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{R. Høegh-Krohn}, Commun. Math. Phys. 68, 95--128 (1979; Zbl 0443.60099) Full Text: DOI