Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. Zbl 1139.82323
Hérau, Frédéric; Nier, Francis |
|
2004
|
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006
Helffer, Bernard; Nier, Francis |
|
2005
|
Mean field limit for bosons and infinite dimensional phase-space analysis. Zbl 1171.81014
Ammari, Zied; Nier, Francis |
|
2008
|
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A. |
|
2013
|
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis |
|
1998
|
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004
Aftalion, A.; Blanc, X.; Nier, F. |
|
2006
|
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025
Helffer, Bernard; Klein, Markus; Nier, Francis |
|
2004
|
Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. Zbl 1251.81062
Ammari, Z.; Nier, F. |
|
2011
|
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108
Nataf, Frédéric; Nier, F. |
|
1997
|
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018
Nier, F.; Helffer, B. |
|
2006
|
Mean field limit for bosons and propagation of Wigner measures. Zbl 1214.81089
Ammari, Z.; Nier, F. |
|
2009
|
Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator. Zbl 1180.35383
Gallagher, Isabelle; Gallay, Thierry; Nier, Francis |
|
2009
|
A variational formulation of Schrödinger–Poisson systems in dimension \(d\leq3\). Zbl 0785.35086
Nier, Francis |
|
1993
|
A stationary Schrödinger-Poisson system arising from the modelling of electronic devices. Zbl 0716.34098
Nier, Francis |
|
1990
|
The dynamics of some quantum open systems with short-range nonlinearities. Zbl 0909.34052
Nier, Francis |
|
1998
|
Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Zbl 1341.81037
Ammari, Zied; Nier, Francis |
|
2015
|
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis |
|
1998
|
A semi-classical picture of quantum scattering. Zbl 0858.35106
Nier, Francis |
|
1996
|
Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex. Zbl 1275.58018
Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude |
|
2013
|
The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case. Zbl 0742.35078
Arnold, Anton; Nier, Francis |
|
1991
|
Schrödinger-Poisson systems in dimension \(d\leqq 3\): The whole-space case. Zbl 0807.35119
Nier, F. |
|
1993
|
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. Zbl 1419.35001
Nier, Francis |
|
2018
|
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis |
|
2015
|
Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics. Zbl 1129.82023
Nier, F. |
|
2007
|
Hypoellipticity for Fokker-Planck operators and Witten Laplacians. Zbl 1286.35283
Nier, Francis |
|
2012
|
Remarks on domain decomposition algorithms.
(Remarques sur les algorithmes de décomposition de domaines.) Zbl 1058.65514
Nier, F. |
|
1999
|
Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117
Ammari, Zied; Breteaux, Sébastien; Nier, Francis |
|
2019
|
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125
Faraj, Ali; Mantile, Andrea; Nier, Francis |
|
2011
|
Asymptotic analysis of a scaled Wigner equation and quantum scattering. Zbl 0870.45003
Nier, Francis |
|
1995
|
Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017
Nier, F.; Soffer, A. |
|
2003
|
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. Zbl 1157.82046
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine |
|
2009
|
Criteria to the Poincaré inequality associated with Dirichlet forms in \(\mathbb{R}^d,\,d\geq 2\). Zbl 1098.31005
Helffer, Bernard; Nier, Francis |
|
2003
|
About theta functions and the Abrikosov lattice.
(A propos des fonctions thêta et des réseaux d’Abrikosov.) Zbl 1171.33012
Nier, Francis |
|
2007
|
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I. Zbl 1149.82349
Bonnaillie-Noël, V.; Nier, F.; Patel, Y. |
|
2008
|
Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures. Zbl 1189.82129
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine |
|
2006
|
Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274
Chniti, Chokri; Nataf, Frédéric; Nier, Francis |
|
2009
|
Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124
Chniti, Chokri; Nataf, Frédéric; Nier, Francis |
|
2006
|
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013
Hmidi, Toufik; Mantile, Andrea; Nier, Francis |
|
2010
|
Quaternionic structure and analysis of some Kramers-Fokker-Planck operators. Zbl 1452.35213
Said, Mona Ben; Nier, Francis; Viola, Joe |
|
2020
|
Particle simulation of bidimensional electron transport parallel to a heterojunction interface. Zbl 0724.65133
Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F. |
|
1990
|
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071
Faraj, A.; Mantile, A.; Nier, F. |
|
2010
|
Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364
Chniti, Chokri; Nataf, Frédéric; Nier, Francis |
|
2008
|
Nonlinear asymptotics for quantum out-of-equilibrium 1D systems: reduced models and algorithms. Zbl 1322.82003
Nier, F.; Patel, M. |
|
2004
|
Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007
Nataf, Frédéric; Nier, Francis |
|
1998
|
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1067.35057
Nier, Francis |
|
2004
|
Semiconductor modelling via the Boltzmann equation. Zbl 0732.35098
Degond, P.; Guyot-Delaurens, F.; Mustieles, F. J.; Nier, F. |
|
1991
|
Accurate WKB approximation for a 1D problem with low regularity. Zbl 1199.81023
Nier, F. |
|
2008
|
On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation. Zbl 1369.37072
Ammari, Zied; Nier, F.; Liard, Q.; Rouffort, C. |
|
2017
|
Numerical analysis of the deterministic particle method applied to the Wigner equation. Zbl 0763.65092
Arnold, Anton; Nier, Francis |
|
1992
|
Double scale analysis of a Schröder-Poisson system with quantum wells and macroscopic nonlinearities in dimension 2 and 3. Zbl 1163.35465
Faraj, A.; Mantile, A.; Nier, F. |
|
2009
|
Accurate estimates for the exponential decay of semigroups with non-self-adjoint generators. Zbl 07270990
Nier, Francis |
|
2014
|
Bar codes of persistent cohomology and Arrhenius law for \(p\)-forms. Zbl 07898079
Le Peutrec, D.; Nier, F.; Viterbo, C. |
|
2024
|
Bar codes of persistent cohomology and Arrhenius law for \(p\)-forms. Zbl 07898079
Le Peutrec, D.; Nier, F.; Viterbo, C. |
|
2024
|
Quaternionic structure and analysis of some Kramers-Fokker-Planck operators. Zbl 1452.35213
Said, Mona Ben; Nier, Francis; Viola, Joe |
|
2020
|
Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117
Ammari, Zied; Breteaux, Sébastien; Nier, Francis |
|
2019
|
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. Zbl 1419.35001
Nier, Francis |
|
2018
|
On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation. Zbl 1369.37072
Ammari, Zied; Nier, F.; Liard, Q.; Rouffort, C. |
|
2017
|
Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Zbl 1341.81037
Ammari, Zied; Nier, Francis |
|
2015
|
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis |
|
2015
|
Accurate estimates for the exponential decay of semigroups with non-self-adjoint generators. Zbl 07270990
Nier, Francis |
|
2014
|
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A. |
|
2013
|
Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex. Zbl 1275.58018
Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude |
|
2013
|
Hypoellipticity for Fokker-Planck operators and Witten Laplacians. Zbl 1286.35283
Nier, Francis |
|
2012
|
Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. Zbl 1251.81062
Ammari, Z.; Nier, F. |
|
2011
|
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125
Faraj, Ali; Mantile, Andrea; Nier, Francis |
|
2011
|
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013
Hmidi, Toufik; Mantile, Andrea; Nier, Francis |
|
2010
|
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071
Faraj, A.; Mantile, A.; Nier, F. |
|
2010
|
Mean field limit for bosons and propagation of Wigner measures. Zbl 1214.81089
Ammari, Z.; Nier, F. |
|
2009
|
Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator. Zbl 1180.35383
Gallagher, Isabelle; Gallay, Thierry; Nier, Francis |
|
2009
|
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. Zbl 1157.82046
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine |
|
2009
|
Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274
Chniti, Chokri; Nataf, Frédéric; Nier, Francis |
|
2009
|
Double scale analysis of a Schröder-Poisson system with quantum wells and macroscopic nonlinearities in dimension 2 and 3. Zbl 1163.35465
Faraj, A.; Mantile, A.; Nier, F. |
|
2009
|
Mean field limit for bosons and infinite dimensional phase-space analysis. Zbl 1171.81014
Ammari, Zied; Nier, Francis |
|
2008
|
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I. Zbl 1149.82349
Bonnaillie-Noël, V.; Nier, F.; Patel, Y. |
|
2008
|
Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364
Chniti, Chokri; Nataf, Frédéric; Nier, Francis |
|
2008
|
Accurate WKB approximation for a 1D problem with low regularity. Zbl 1199.81023
Nier, F. |
|
2008
|
Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics. Zbl 1129.82023
Nier, F. |
|
2007
|
About theta functions and the Abrikosov lattice.
(A propos des fonctions thêta et des réseaux d’Abrikosov.) Zbl 1171.33012
Nier, Francis |
|
2007
|
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004
Aftalion, A.; Blanc, X.; Nier, F. |
|
2006
|
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018
Nier, F.; Helffer, B. |
|
2006
|
Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures. Zbl 1189.82129
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine |
|
2006
|
Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124
Chniti, Chokri; Nataf, Frédéric; Nier, Francis |
|
2006
|
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006
Helffer, Bernard; Nier, Francis |
|
2005
|
Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. Zbl 1139.82323
Hérau, Frédéric; Nier, Francis |
|
2004
|
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025
Helffer, Bernard; Klein, Markus; Nier, Francis |
|
2004
|
Nonlinear asymptotics for quantum out-of-equilibrium 1D systems: reduced models and algorithms. Zbl 1322.82003
Nier, F.; Patel, M. |
|
2004
|
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1067.35057
Nier, Francis |
|
2004
|
Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017
Nier, F.; Soffer, A. |
|
2003
|
Criteria to the Poincaré inequality associated with Dirichlet forms in \(\mathbb{R}^d,\,d\geq 2\). Zbl 1098.31005
Helffer, Bernard; Nier, Francis |
|
2003
|
Remarks on domain decomposition algorithms.
(Remarques sur les algorithmes de décomposition de domaines.) Zbl 1058.65514
Nier, F. |
|
1999
|
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis |
|
1998
|
The dynamics of some quantum open systems with short-range nonlinearities. Zbl 0909.34052
Nier, Francis |
|
1998
|
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis |
|
1998
|
Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007
Nataf, Frédéric; Nier, Francis |
|
1998
|
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108
Nataf, Frédéric; Nier, F. |
|
1997
|
A semi-classical picture of quantum scattering. Zbl 0858.35106
Nier, Francis |
|
1996
|
Asymptotic analysis of a scaled Wigner equation and quantum scattering. Zbl 0870.45003
Nier, Francis |
|
1995
|
A variational formulation of Schrödinger–Poisson systems in dimension \(d\leq3\). Zbl 0785.35086
Nier, Francis |
|
1993
|
Schrödinger-Poisson systems in dimension \(d\leqq 3\): The whole-space case. Zbl 0807.35119
Nier, F. |
|
1993
|
Numerical analysis of the deterministic particle method applied to the Wigner equation. Zbl 0763.65092
Arnold, Anton; Nier, Francis |
|
1992
|
The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case. Zbl 0742.35078
Arnold, Anton; Nier, Francis |
|
1991
|
Semiconductor modelling via the Boltzmann equation. Zbl 0732.35098
Degond, P.; Guyot-Delaurens, F.; Mustieles, F. J.; Nier, F. |
|
1991
|
A stationary Schrödinger-Poisson system arising from the modelling of electronic devices. Zbl 0716.34098
Nier, Francis |
|
1990
|
Particle simulation of bidimensional electron transport parallel to a heterojunction interface. Zbl 0724.65133
Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F. |
|
1990
|