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## Bru, Jean-Bernard

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 Author ID: bru.jean-bernard Published as: Bru, J.-B.; Bru, Jean-Bernard; Bru, J.-B External Links: ORCID
 Documents Indexed: 42 Publications since 1998, including 3 Books Reviewing Activity: 1 Review
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#### Co-Authors

 2 single-authored 8 Zagrebnov, Valentin A. 6 De Siqueira Pedra, Walter 4 Adams, Stefan 4 Hertling, Carolin 2 Aza, N. J. B. 2 Bach, Volker 2 De Siqueira, Pedra Walter 2 König, Wolfgang Dieter 2 Ratsimanetrimanana, Antsa 1 Correggi, Michele 1 Delgado De Pasquale, Antonio 1 Dömel, A.-S. 1 Nachtergaele, Bruno 1 Pedra, W.de Siqueira 1 Pickl, Peter 1 Westrich, Matthias Christian 1 Yngvason, Jakob
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#### Serials

 4 Journal of Statistical Physics 4 Journal of Physics A: Mathematical and General 4 Annales Henri Poincaré 3 Journal of Mathematical Physics 3 Reviews in Mathematical Physics 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Memoirs of the American Mathematical Society 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Physics Reports 1 The Annals of Probability 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Convex Analysis 1 Electronic Journal of Probability 1 European Mathematical Society Newsletter 1 Journal of Evolution Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 SpringerBriefs in Mathematical Physics 1 Pure and Applied Analysis
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#### Fields

 38 Statistical mechanics, structure of matter (82-XX) 9 Quantum theory (81-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 185 times in 111 Documents Cited by Year
The Bogoliubov model of weakly imperfect Bose gas. Zbl 0971.82006
Zagrebnov, V. A.; Bru, J.-B.
2001
Lieb-Robinson bounds for multi-commutators and applications to response theory. Zbl 1379.81047
Bru, J.-B.; de Siqueira Pedra, W.
2017
A model with coexistence of two kinds of Bose condensation. Zbl 0957.82001
Bru, J.-B.; Zagrebnov, V. A.
2000
The TF limit for rapidly rotating Bose gases in anharmonic traps. Zbl 1207.82015
Bru, J.-B.; Correggi, M.; Pickl, P.; Yngvason, J.
2008
Exact solution of the infinite-range-hopping Bose-Hubbard model. Zbl 1029.82501
Bru, J.-B.; Dorlas, T. C.
2003
Large systems of path-repellent Brownian motions in a trap at positive temperature. Zbl 1113.60086
Adams, Stefan; Bru, Jean-Bernard; König, Wolfgang
2006
Large deviations for trapped interacting Brownian particles and paths. Zbl 1105.60021
Adams, Stefan; Bru, Jean-Bernard; König, Wolfgang
2006
Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003
Bach, Volker; Bru, Jean-Bernard
2016
Effect of a locally repulsive interaction on s-wave superconductors. Zbl 1192.82086
Bru, J.-B; de Siqueira Pedra, W.
2010
Heat production of noninteracting fermions subjected to electric fields. Zbl 1342.81120
Bru, Jean-Bernard; De Siqueira Pedra, Walter; Hertling, Carolin
2015
Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067
Bach, Volker; Bru, Jean-Bernard
2010
Macroscopic conductivity of free fermions in disordered media. Zbl 1307.82019
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C.
2014
Non-cooperative equilibria of Fermi systems with long range interactions. Zbl 1307.82012
Bru, J.-B.; de Siqueira Pedra, W.
2013
Microscopic conductivity of lattice fermions at equilibrium. I: Non-interacting particles. Zbl 1322.82015
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C.
2015
Universal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theory. Zbl 1373.81270
Bru, J.-B.; de Siqueira Pedra, W.
2017
From the second law of thermodynamics to AC-conductivity measures of interacting fermions in disordered media. Zbl 1336.82012
Bru, J.-B.; de Siqueira, Pedra W.
2015
Microscopic conductivity of lattice fermions at equilibrium. II: Interacting particles. Zbl 1329.82113
Bru, Jean-Bernard; de Siqueira Pedra, Walter
2016
On condensations in the Bogoliubov weakly imperfect Bose gas. Zbl 0968.82007
Bru, J.-B.; Zagrebnov, V. A.
2000
The equilibrium states for a model with two kinds of Bose condensation. Zbl 1027.82002
Bru, J.-B.; Nachtergaele, B.; Zagrebnov, V. A.
2002
A microscopic two-band model for the electron-hole asymmetry in high-$$T_{c}$$ superconductors and reentering behavior. Zbl 1317.82060
Bru, J.-B.; Pedra, W.de Siqueira; Dömel, A.-S.
2011
Microscopic foundations of Ohm and Joule’s laws – the relevance of thermodynamics. Zbl 1343.82051
Bru, J.-B.; de Siqueira Pedra, W.
2015
AC-conductivity measure from heat production of free fermions in disordered media. Zbl 1334.82053
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C.
2016
Characterization of the quasi-stationary state of an impurity driven by monochromatic light. I: The effective theory. Zbl 1257.82104
Bru, Jean-Bernard; de Siqueira Pedra, Walter; Westrich, Matthias
2012
Large deviations in the superstable weakly imperfect Bose-gas. Zbl 1172.82005
Bru, J.-B.; Zagrebnov, V. A.
2008
Inhomogeneous Fermi and quantum spin systems on lattices. Zbl 1278.82009
Bru, J.-B.; de Siqueira Pedra, W.
2012
Exact solution of the Bogoliubov Hamiltonian for weakly imperfect Bose gas. Zbl 0953.82003
Bru, J.-B.; Zagrebnov, V. A.
1998
Superstabilization of Bose systems. I: Thermodynamic study. Zbl 1050.82002
Bru, J.-B.
2002
Superstabilization of Bose systems. II: Bose condensations and equivalence of ensembles. Zbl 1050.82003
Bru, J.-B.
2002
A new microscopic theory of superfluidity at all temperatures. Zbl 1142.82404
2004
Microscopic foundations of the Meißner effect: thermodynamic aspects. Zbl 1281.82033
Bru, J.-B.; De Siqueira Pedra, W.
2013
Exact phase diagram of the Bogoliubov weakly imperfect Bose gas. Zbl 0940.82006
Bru, J.-B.; Zagrebnov, V. A.
1998
Thermodynamic behavior of the Bogoliubov weakly imperfect Bose gas. Zbl 0993.82008
Bru, Jean-Bernard; Zagrebnov, Valentin A.
1999
Exact solution of the AVZ-Hamiltonian in the grand-canonical ensemble. Zbl 1142.82308
2004
Characterization of the quasi-stationary state of an impurity driven by monochromatic light. II: Microscopic foundations. Zbl 1327.82086
Bru, Jean-Bernard; de Siqueira Pedra, Walter
2015
Decay of complex-time determinantal and Pfaffian correlation functionals in lattices. Zbl 1400.82112
Aza, N. J. B.; Bru, J.-B.; de Siqueira Pedra, W.
2018
Remarks on the $$\Gamma$$–regularization of non-convex and non-semi-continuous functions on topological vector spaces. Zbl 1251.58004
Bru, Jean-Bernard; De Siqueira Pedra, Walter
2012
Decay of complex-time determinantal and Pfaffian correlation functionals in lattices. Zbl 1400.82112
Aza, N. J. B.; Bru, J.-B.; de Siqueira Pedra, W.
2018
Lieb-Robinson bounds for multi-commutators and applications to response theory. Zbl 1379.81047
Bru, J.-B.; de Siqueira Pedra, W.
2017
Universal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theory. Zbl 1373.81270
Bru, J.-B.; de Siqueira Pedra, W.
2017
Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003
Bach, Volker; Bru, Jean-Bernard
2016
Microscopic conductivity of lattice fermions at equilibrium. II: Interacting particles. Zbl 1329.82113
Bru, Jean-Bernard; de Siqueira Pedra, Walter
2016
AC-conductivity measure from heat production of free fermions in disordered media. Zbl 1334.82053
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C.
2016
Heat production of noninteracting fermions subjected to electric fields. Zbl 1342.81120
Bru, Jean-Bernard; De Siqueira Pedra, Walter; Hertling, Carolin
2015
Microscopic conductivity of lattice fermions at equilibrium. I: Non-interacting particles. Zbl 1322.82015
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C.
2015
From the second law of thermodynamics to AC-conductivity measures of interacting fermions in disordered media. Zbl 1336.82012
Bru, J.-B.; de Siqueira, Pedra W.
2015
Microscopic foundations of Ohm and Joule’s laws – the relevance of thermodynamics. Zbl 1343.82051
Bru, J.-B.; de Siqueira Pedra, W.
2015
Characterization of the quasi-stationary state of an impurity driven by monochromatic light. II: Microscopic foundations. Zbl 1327.82086
Bru, Jean-Bernard; de Siqueira Pedra, Walter
2015
Macroscopic conductivity of free fermions in disordered media. Zbl 1307.82019
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C.
2014
Non-cooperative equilibria of Fermi systems with long range interactions. Zbl 1307.82012
Bru, J.-B.; de Siqueira Pedra, W.
2013
Microscopic foundations of the Meißner effect: thermodynamic aspects. Zbl 1281.82033
Bru, J.-B.; De Siqueira Pedra, W.
2013
Characterization of the quasi-stationary state of an impurity driven by monochromatic light. I: The effective theory. Zbl 1257.82104
Bru, Jean-Bernard; de Siqueira Pedra, Walter; Westrich, Matthias
2012
Inhomogeneous Fermi and quantum spin systems on lattices. Zbl 1278.82009
Bru, J.-B.; de Siqueira Pedra, W.
2012
Remarks on the $$\Gamma$$–regularization of non-convex and non-semi-continuous functions on topological vector spaces. Zbl 1251.58004
Bru, Jean-Bernard; De Siqueira Pedra, Walter
2012
A microscopic two-band model for the electron-hole asymmetry in high-$$T_{c}$$ superconductors and reentering behavior. Zbl 1317.82060
Bru, J.-B.; Pedra, W.de Siqueira; Dömel, A.-S.
2011
Effect of a locally repulsive interaction on s-wave superconductors. Zbl 1192.82086
Bru, J.-B; de Siqueira Pedra, W.
2010
Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067
Bach, Volker; Bru, Jean-Bernard
2010
The TF limit for rapidly rotating Bose gases in anharmonic traps. Zbl 1207.82015
Bru, J.-B.; Correggi, M.; Pickl, P.; Yngvason, J.
2008
Large deviations in the superstable weakly imperfect Bose-gas. Zbl 1172.82005
Bru, J.-B.; Zagrebnov, V. A.
2008
Large systems of path-repellent Brownian motions in a trap at positive temperature. Zbl 1113.60086
Adams, Stefan; Bru, Jean-Bernard; König, Wolfgang
2006
Large deviations for trapped interacting Brownian particles and paths. Zbl 1105.60021
Adams, Stefan; Bru, Jean-Bernard; König, Wolfgang
2006
A new microscopic theory of superfluidity at all temperatures. Zbl 1142.82404
2004
Exact solution of the AVZ-Hamiltonian in the grand-canonical ensemble. Zbl 1142.82308
2004
Exact solution of the infinite-range-hopping Bose-Hubbard model. Zbl 1029.82501
Bru, J.-B.; Dorlas, T. C.
2003
The equilibrium states for a model with two kinds of Bose condensation. Zbl 1027.82002
Bru, J.-B.; Nachtergaele, B.; Zagrebnov, V. A.
2002
Superstabilization of Bose systems. I: Thermodynamic study. Zbl 1050.82002
Bru, J.-B.
2002
Superstabilization of Bose systems. II: Bose condensations and equivalence of ensembles. Zbl 1050.82003
Bru, J.-B.
2002
The Bogoliubov model of weakly imperfect Bose gas. Zbl 0971.82006
Zagrebnov, V. A.; Bru, J.-B.
2001
A model with coexistence of two kinds of Bose condensation. Zbl 0957.82001
Bru, J.-B.; Zagrebnov, V. A.
2000
On condensations in the Bogoliubov weakly imperfect Bose gas. Zbl 0968.82007
Bru, J.-B.; Zagrebnov, V. A.
2000
Thermodynamic behavior of the Bogoliubov weakly imperfect Bose gas. Zbl 0993.82008
Bru, Jean-Bernard; Zagrebnov, Valentin A.
1999
Exact solution of the Bogoliubov Hamiltonian for weakly imperfect Bose gas. Zbl 0953.82003
Bru, J.-B.; Zagrebnov, V. A.
1998
Exact phase diagram of the Bogoliubov weakly imperfect Bose gas. Zbl 0940.82006
Bru, J.-B.; Zagrebnov, V. A.
1998
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#### Cited by 126 Authors

 19 Bru, Jean-Bernard 12 Zagrebnov, Valentin A. 6 De Roeck, Wojciech 6 Rougerie, Nicolas 5 Adams, Stefan 4 Bachmann, Sven 4 Dereziński, Jan 4 Fraas, Martin 4 Sankovich, D. P. 4 Sims, Robert L. 4 Teufel, Stefan 4 Ueltschi, Daniel 4 Wreszinski, Walter F. 4 Yngvason, Jakob 3 Bols, Alex 3 Correggi, Michele 3 De Siqueira Pedra, Walter 3 Kerner, Joachim 3 Nachtergaele, Bruno 3 Piasecki, Jarosław 3 Pulé, Joseph V. 2 Aza, N. J. B. 2 Bach, Volker 2 Boland, G. 2 Bourne, Chris 2 Corgini, Marco 2 Dorlas, Tony C. 2 Giuliani, Alessandro 2 Hertling, Carolin 2 Jaeck, Thomas 2 König, Wolfgang Dieter 2 Mastropietro, Vieri 2 Napiórkowski, Marcin 2 Napiórkowski, Marek 2 Pechmann, Maximilian 2 Porta, Marcello 2 Ratsimanetrimanana, Antsa 2 Salmhofer, Manfred 2 Schulz-Baldes, Hermann 2 Seiringer, Robert 2 Spitzer, Wolfgang Ludwig 2 Tamura, Hiroshi 2 Verbeure, André F. 2 Wojtkiewicz, Jacek 2 Xie, Mi 2 Young, Amanda 1 Abanin, Dmitry A. 1 Accardi, Luigi 1 Akant, Levent 1 Alastuey, Angel 1 Ammari, Zied 1 Barseghyan, Diana 1 Bassichis, W. H. 1 Betz, Volker 1 Biskup, Marek 1 Bolte, Jens 1 Boutin, Benjamin 1 Carr, Lincoln D. 1 Cheng, Ze 1 Cornean, Horia D. 1 Correa da Silva, R. 1 Corsi, Livia 1 Dai, Wusheng 1 De Siqueira, Pedra Walter 1 Dimonte, Daniele 1 Dömel, A.-S. 1 Draayer, Jerry P. 1 Ertuğrul, Emine 1 Exner, Pavel 1 Fernández, Roberto 1 Fröhlich, Jürg Martin 1 Gebert, Martin 1 Genovese, Giuseppe 1 Hach, Alexander 1 Haddad, L. H. 1 Henheik, Joscha 1 Ho, Wen Wei 1 Huveneers, François 1 Jakubczyk, Paweł 1 Lewin, Mathieu 1 Lieb, Elliott H. 1 Litt, O. 1 Ługiewicz, Piotr 1 Lukkarinen, Jani 1 Marcelli, Giovanna 1 Monaco, Domenico 1 Morato, Laura M. 1 Ogata, Yoshiko 1 Olkiewicz, Robert 1 Pan, Feng 1 Panati, Gianluca 1 Pandiscia, Carlo 1 Pastur, Leonid Andreevich 1 Peano, Vittorio 1 Pedra, W.de Siqueira 1 Phan Thành Nam 1 Pinsker, Florian 1 Pulé, Joe V. 1 Pusz, Wiesław 1 Raymond, Nicolas ...and 26 more Authors
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#### Cited in 35 Serials

 26 Journal of Mathematical Physics 16 Communications in Mathematical Physics 8 Journal of Statistical Physics 8 Annales Henri Poincaré 7 Reviews in Mathematical Physics 5 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Mathematical Analysis and Applications 3 Theoretical and Mathematical Physics 2 International Journal of Modern Physics B 2 Archive for Rational Mechanics and Analysis 2 Memoirs of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of Evolution Equations 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Physics Reports 1 Reports on Mathematical Physics 1 The Annals of Probability 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 New Journal of Physics 1 Communications in Contemporary Mathematics 1 Physical Review Letters 1 International Journal of Geometric Methods in Modern Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 Pure and Applied Analysis
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#### Cited in 20 Fields

 95 Statistical mechanics, structure of matter (82-XX) 50 Quantum theory (81-XX) 13 Partial differential equations (35-XX) 12 Probability theory and stochastic processes (60-XX) 9 Functional analysis (46-XX) 7 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)