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Gaveau, Bernard

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Author ID: gaveau.bernard Recent zbMATH articles by "Gaveau, Bernard"
Published as: Gaveau, Bernard; Gaveau, B.
External Links: dblp · GND
Documents Indexed: 247 Publications since 1973, including 1 Book
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Serials

37 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
35 Comptes Rendus de l’Académie des Sciences. Série I
19 Journal of Functional Analysis
17 Bulletin des Sciences Mathématiques. Deuxième Série
17 Bulletin des Sciences Mathématiques
9 Journal of Statistical Physics
9 Letters in Mathematical Physics
6 Canadian Journal of Mathematics
6 Journal of Physics A: Mathematical and General
5 Journal of Mathematical Physics
5 Physics Letters. A
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Physica A
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Bulletin de la Société des Sciences et des Lettres de Łódź
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Proceedings of the Japan Academy. Series A
2 Open Systems & Information Dynamics
2 Foundations of Physics
2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
2 Journal of Physics A: Mathematical and Theoretical
1 Communications in Mathematical Physics
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Acta Mathematica
1 Advances in Mathematics
1 American Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Annales Polonici Mathematici
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Kybernetes
1 Mathematische Nachrichten
1 Tohoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
1 International Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Annals of Physics
1 Communications in Partial Differential Equations
1 SIAM Journal on Mathematical Analysis
1 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Bulletin de la Société des Sciences et des Lettres de Łódź. Série: Recherches sur les Déformations
1 Mathematical Physics, Analysis and Geometry
1 Chaos
1 Acta Physica Polonica B
1 Physical Review D. Series III
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Analysis and Applications (Singapore)
1 Pure and Applied Mathematics (Boca Raton)
1 Bollettino di Matematica Pura e Applicata
all top 5

Fields

64 Partial differential equations (35-XX)
62 Probability theory and stochastic processes (60-XX)
54 Several complex variables and analytic spaces (32-XX)
35 Quantum theory (81-XX)
34 Global analysis, analysis on manifolds (58-XX)
32 Statistical mechanics, structure of matter (82-XX)
29 Differential geometry (53-XX)
28 Potential theory (31-XX)
11 Special functions (33-XX)
10 Topological groups, Lie groups (22-XX)
10 Abstract harmonic analysis (43-XX)
9 Functional analysis (46-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Biology and other natural sciences (92-XX)
6 Algebraic geometry (14-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Functions of a complex variable (30-XX)
5 Operator theory (47-XX)
4 Numerical analysis (65-XX)
4 Mechanics of particles and systems (70-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Systems theory; control (93-XX)
3 Approximations and expansions (41-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Ordinary differential equations (34-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)

Publications by Year

Citations contained in zbMATH Open

149 Publications have been cited 985 times in 735 Documents Cited by Year
Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups. (Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groupes nilpotents.) Zbl 0366.22010
Gaveau, Bernard
216
1977
Hamilton-Jacobi theory and the heat kernel on Heisenberg groups. Zbl 0959.35035
Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C.
82
2000
The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes. Zbl 0858.43009
Beals, Richard; Gaveau, Bernard; Greiner, Peter
48
1996
Envelopes of holomorphy of certain 2-spheres in \({\mathbb{C}}^ 2\). Zbl 0535.32008
Bedford, Eric; Gaveau, Bernard
41
1983
Théoremes de comparaison en géométrie Riemannienne. Zbl 0382.31007
Debiard, A.; Gaveau, B.; Mazet, E.
39
1976
L’intégrale stochastique comme opérateur de divergence dans l’espace fonctionnel. Zbl 0488.60068
Gaveau, Bernard; Trauber, Philip
32
1982
Explicit time-dependent Schrödinger propagators. Zbl 0621.35082
Gaveau, Bernard; Schulman, Lawrence S.
23
1986
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I. Zbl 0886.35001
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
22
1997
Potentiel fin et algèbres de fonctions analytiques. I. Zbl 0297.31004
Debiard, A.; Gaveau, B.
20
1974
On a geometric formula for the fundamental solution of subelliptic Laplacians. Zbl 0864.35005
Beals, Richard; Gaveau, Bernard; Greiner, Peter
19
1996
Méthodes de contrôle optimal en analyse complexe. I: Résolution d’équation de Monge Ampère. Zbl 0356.35071
Gaveau, Bernard
18
1977
Green’s functions for some highly degenerate elliptic operators. Zbl 0947.35078
Beals, Richard; Greiner, Peter; Gaveau, Bernard
17
1999
Critère de convergence des fonctionnelles de Kac et application en mécanique quantique et en géométrie. Zbl 0398.60076
Berthier, Anne Marie; Gaveau, Bernard
16
1978
Hypersurfaces with bounded Levi form. Zbl 0365.32011
Bedford, Eric; Gaveau, Bernard
15
1978
The Laguerre calculus on the Heisenberg group. II. Zbl 0609.43008
Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C.; Vauthier, Jacques
13
1986
Régularité des mesures et perturbations stochastiques de champs de vecteurs sur des espaces de dimension infinie (Regularity of measures and stochastic perturbations of vector fields on infinite-dimensional spaces). Zbl 0587.60042
Gaveau, Bernard; Moulinier, Jean-Marc
12
1985
Explicit heat kernels on graphs and spectral analysis. Zbl 0803.35062
Gaveau, Bernard; Okada, Masami; Okada, Tatsuya
11
1993
Analysis on root systems. Zbl 0647.22004
Debiard, Amédée; Gaveau, Bernard
11
1987
Theory of nonequilibrium first-order phase transitions for stochastic dynamics. Zbl 1056.82513
Gaveau, Bernard; Schulman, L. S.
11
1998
Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system. Zbl 0562.35055
Gaveau, Bernard
9
1984
Second order differential operators and Dirichlet integrals with singular coefficients. I: Functional calculus of one-dimensional operators. Zbl 0653.35034
Gaveau, Bernard; Okada, Masami; Okada, Tatsuya
9
1987
Uniform hypoelliptic Green’s functions. Zbl 0915.35029
Beals, Richard; Gaveau, Bernard; Greiner, Peter
8
1998
Master equation based formulation of nonequilibrium statistical mechanics. Zbl 0861.73011
Gaveau, Bernard; Schulman, L. S.
7
1996
Intégrales oscillantes stochastiques: l’équation de Pauli. Zbl 0473.60051
Gaveau, Bernard; Vauthier, Jacques
7
1981
Intégrale stochastique radonifiante. Zbl 0256.60049
Gaveau, Bernard
7
1973
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. II. Zbl 0886.35002
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
6
1997
Problème de Dirichlet pour l’équation de Levi. Zbl 0411.35015
Debiard, Amedee; Gaveau, Bernard
6
1978
Théoremes de comparaison en géométrie riemannienne. Zbl 0327.58014
Debiard, Amedee; Gaveau, Bernard; Mazet, Edmond
6
1975
Frontière de Silov de domaines faiblement pseudoconvexes de \(\mathbb{C}^n\). Zbl 0332.32010
Debiard, Amedee; Gaveau, Bernard
6
1976
Intégrales oscillantes stochastiques: Estimation asymptotique de fonctionnelles caractéristiques. Zbl 0528.60049
Gaveau, Bernard; Moulinier, Jean-Marc
5
1983
Grassmann-valued processes for the Weyl and the Dirac equations. Zbl 0692.58047
Gaveau, B.; Schulman, L. S.
5
1987
Exact fundamental solutions for a class of degenerate elliptic operators. Zbl 0933.35041
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
5
1999
A general framework for nonequilibrium phenomena: The master equation and its formal consequences. Zbl 1072.82537
Gaveau, Bernard; Schulman, L. S.
5
1997
Problème de Dirichlet pour l’équation de Levi. Zbl 0413.35067
Debiard, Amedee; Gaveau, Bernard
5
1978
Différentiabilite des fonctions finement harmoniques. Zbl 0312.31004
Debiard, A.; Gaveau, B.
5
1975
Differential forms and heat diffusion on one-dimensional singular varieties. Zbl 0722.58003
Gaveau, Bernard; Okada, Masami
5
1991
Transversally elliptic operators. Zbl 1125.35302
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
5
2004
Représentation intégrale de certaines séries de fonctions sphériques d’un système de racines \(BC\). (Integral representation of certain series of spherical functions of a root system \(BC\)). Zbl 0735.33009
Debiard, Amédée; Gaveau, Bernard
4
1991
Transformation canonique et renormalisation pour certaines équations d’évolution. Zbl 0524.35092
Bertrand, J.; Gaveau, B.
4
1983
Noyau des probabilités de transition de certains opérateurs d’Ornstein- Uhlenbeck dans l’espace de Hilbert. Zbl 0484.35077
Gaveau, Bernard
4
1981
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. III. Zbl 0886.35003
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
4
1997
Decay of the metastable state in a chemical system: Different predictions between discrete and continuous models. Zbl 0856.60079
Gaveau, Bernard; Moreau, Michel; Toth, Janos
4
1996
Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\). Zbl 0815.33010
Debiard, Amédée; Gaveau, Bernard
4
1994
Finite-size scaling for mean-field percolation. Zbl 0935.82527
Gaveau, B.; Schulman, L. S.
4
1993
Systemes dynamiques associes à certains opérateurs hypoelliptiques. Zbl 0391.35019
Gaveau, Bernard
4
1978
Dynamical distance: coarse grains, pattern recognition, and network analysis. Zbl 1093.82013
Gaveau, B.; Schulman, L. S.
4
2005
Metastable relaxation times and absorption probabilities for multidimensional stochastic systems. Zbl 0974.60096
Gaveau, Bernard; Moreau, Michel
3
2000
Polynômes harmoniques et problème de Dirichlet de la boule du groupe de Heisenberg en présence de symétrie radiale. (Harmonic polynomials and Dirichlet’s problem for the unit ball of the Heisenberg group with radial data). Zbl 0567.31004
Gaveau, Bernard; Greiner, Peter; Vauthier, Jacques
3
1984
Anomalous diffusion in a random velocity field. Zbl 0925.82175
Gaveau, B.; Schulman, L. S.
3
1992
A path integral formula for certain fourth-order elliptic operators. Zbl 0644.60046
Gaveau, Bernard; Sainty, Phillipe
3
1988
Metastable decay rates and analytic continuation. Zbl 0681.60083
Gaveau, B.; Schulman, L. S.
3
1989
Sensitive terms in the path integral: Ordering and stochastic options. Zbl 0692.58048
Gaveau, B.; Schulman, L. S.
3
1989
Differential forms and resolution on certain analytic spaces. III: Spectral resolution. Zbl 0817.32006
Ancona, Vincenzo; Gaveau, Bernard
3
1994
Méthodes de contrôle optimal en analyse complexe, II. Equation de Monge- Ampère dans certains domaines faiblement pseudoconvexes. Zbl 0382.35026
Gaveau, Bernard
3
1978
Méthode de contrôle optimal en analyse complexe; applications aux spectres et à un problème quasilineaire elliptique dégénérée. Zbl 0401.49006
Debiard, Amedee; Gaveau, Bernard
3
1977
Diffusion et intégration sur les espaces de lacets. Zbl 0426.60071
Gaveau, Bernard; Mazet, Edmond
3
1979
Mesures et représentations non locales pour les groupes de Lie d’applications. Zbl 0451.60012
Gaveau, Bernard; Trauber, Philip
3
1980
Potentiel fin et algèbres de fonctions. III. Zbl 0317.31004
Debiard, A.; Gaveau, B.
3
1976
On geodesics in sub-Riemannian geometry. Zbl 1108.53019
Gaveau, Bernard; Greiner, Peter
3
2006
Differential forms on singular varieties. De Rham and Hodge theory simplified. Zbl 1088.58001
Ancona, Vincenzo; Gaveau, Bernard
3
2006
On geodesics in sub-Riemannian geometry. II. Zbl 1191.53025
Gaveau, Bernard; Greiner, Peter
3
2007
Geometric analysis on a step 2 Grusin operator. Zbl 1178.53031
Chang, Chin-Huei; Chang, Der-Chen; Gaveau, Bernard; Greiner, Peter; Lee, Hsuan-Pei
3
2009
Hypergeometric symbolic calculus. I: Systems of two symbolic hypergeometric equations. Zbl 1015.35023
Debiard, Amédée; Gaveau, Bernard
3
2002
Creation, dissipation and recycling of resources in non-equilibrium systems. Zbl 1025.37031
Gaveau, B.; Schulman, L. S.
3
2003
A projector path integral for the Dirac equation and the spin derivation of space. Zbl 1004.81024
Gaveau, B.; Schulman, L. S.
2
2000
An example of a phase transition in an open pseudobimolecular system. Zbl 0512.60079
Gaveau, Marc Andre; Gaveau, Bernard
2
1982
Differential forms and resolutions on certain analytic spaces. I: Irreducible exceptional divisor. Zbl 0766.32026
Ancona, Vincenzo; Gaveau, Bernard
2
1992
Differential forms and resolutions on certain analytic spaces. II: Flat resolutions. Zbl 0766.32027
Ancona, Vincenzo; Gaveau, Bernard
2
1992
Annulation de la cohomologie pour des fibrés à courbure de signe variable sur une variété kählerienne. (Vanishing of the cohomology of fiber bundles on Kähler manifolds with a curvature of changing sign). Zbl 0668.32028
Ancona, Vincenzo; Gaveau, Bernard
2
1988
Fonctions hypergéométriques et fonctions sphériques pour un système de racines BC de rang 2. (Hypergeometric functions and spherical functions for a root system of type BC and rank 2). Zbl 0674.33007
Debiard, Amédée; Gaveau, Bernard
2
1989
Opérateurs elliptiques et mesures sur l’espace des lacets invariants par le groupe des difféomorphismes du cercle. Zbl 0485.58019
Gaveau, Bernard; Mazet, Edmond
2
1981
Resonance effects for chemical reactivity in complex media. Zbl 0874.92036
Gaveau, B.; Moreau, M.
2
1994
Statistical mechanics of a crystal surface. Zbl 0831.58059
Gaveau, Bernard; Ławrynowicz, Julian; Wojtczak, Leszek
2
1994
The Cauchy problem for the stochastic wave equation. Zbl 0834.60069
Gaveau, Bernard
2
1995
De Rham theorems on an analytic space. (Théorèmes de De Rham sur un espace analytique.) Zbl 0810.32009
Ancona, Vincenzo; Gaveau, Bernard
2
1993
Spectral signatures of hierarchical relaxation. Zbl 0932.82035
Gaveau, B.; Lesne, A.; Schulman, L. S.
2
1999
On Green’s functions for subelliptic operators. Zbl 0940.35056
Beals, Richard; Gaveau, Bernard; Greiner, Peter
2
2000
Méthode de contrôle optimal en analyse complexe ou réelle. III. Diffusion des fonctions plurisousharmoniques ou convexes. Zbl 0411.93043
Gaveau, B.
2
1979
Fonctions propres et non-existence absolue d’etats lies dans certains systèmes quantiques. Zbl 0422.47008
Gaveau, Bernard
2
1979
Divergence des fonctionnelles de Kac et diffusion quantique. Zbl 0451.60072
Gaveau, Bernard; Mazet, Edmond
2
1980
Une approche rigoureuse à la quantification locale du champ de Yang-Mills avec cut-off. Zbl 0461.60100
Gaveau, Bernard; Trauber, Philip
2
1980
Families of differential forms on complex spaces. Zbl 1170.35358
Gaveau, Bernard; Ancona, Vincenzo
2
2003
Intégrales harmoniques non abéliennes. (Non-abelian harmonic integrals). Zbl 0569.58002
Gaveau, Bernard
2
1982
Temps d’arret des diffusions riemanniennes. Zbl 0274.53038
Debiard, Amedee; Gaveau, Bernard; Mazet, Edmond
2
1974
Temps de sortie des boules normales et minoration locale de \(\lambda_1\). Zbl 0274.53039
Debiard, Amedee; Gaveau, Bernard; Mazet, Edmond
2
1974
Holonomie stochastique et représentations du groupe d’Heisenberg. Zbl 0294.43013
Gaveau, Bernard
2
1975
Frontière de Jensen d’une algèbre de fonctions. Zbl 0297.31010
Debiard, Amedee; Gaveau, Bernard
2
1975
Solutions fondamentales, représentations, et estimees souselliptiques pour les groupes nilpotents d’ordre 2. Zbl 0322.43016
Gaveau, Bernard
2
1976
Méthodes de contrôle optimal en analyse complexe et en topologie. Zbl 0356.35070
Gaveau, Bernard
2
1977
The stationary phase method for certain degenerate critical points. I. Zbl 0704.41022
Dostal, Milos; Gaveau, Bernard
2
1989
Linear decay in multilevel quantum systems. Zbl 0729.35110
Schulman, L. S.; Doering, C. R.; Gaveau, B.
2
1991
Bochner-Martinelli formulas on singular complex spaces. Zbl 1192.32001
Ancona, Vincenzo; Gaveau, Bernard
2
2010
On a class of non-Markovian collision processes and their evolution equation. Zbl 0588.60090
Gaveau, B.; Moreau, M.
2
1985
Intégrales de Fourier quadratiques et calcul symbolique exact sur le groupe d’Heisenberg. (Quadratic Fourier integrals and exact symbolic calculus on the Heisenberg group). Zbl 0609.43007
Gaveau, Bernard; Greiner, Peter; Vauthier, Jacques
2
1986
Noyaux de la chaleur pour certaines équations hypergéométriques et application aux espaces symétriques de rang 1. (Heat kernels of hypergeometric equations and application to rank 1 symmetric spaces). Zbl 0623.35017
Debiard, Amédée; Gaveau, Bernard
2
1986
Hypergeometric symbolic calculus. II: Systems of confluent equations. Zbl 1029.35053
Debiard, Amédée; Gaveau, Bernard
2
2003
Decoherence, the density matrix, the thermal state and the classical world. Zbl 1387.82038
Gaveau, Bernard; Schulman, Lawrence S.
2
2017
Metastable lifetime for a class of chemical systems near criticality. Zbl 0971.80501
Gaveau, B.; Latrémolière, D.; Moreau, M.
1
2001
Valeurs frontières des fonctions holomorphes d’intégrale de Dirichlet finie et capacité sous elliptique. Zbl 0495.32002
Debiard, Amédée; Gaveau, Bernard
1
1981
Divergence des fonctionnelles de M. Kac et diffusion quantique. Zbl 0508.60064
Gaveau, Bernard; Mazet, Edmond
1
1982
Reconciling kinetic and quantum theory. Zbl 1437.81020
Gaveau, B.; Schulman, L. S.
1
2020
Decoherence, the density matrix, the thermal state and the classical world. Zbl 1387.82038
Gaveau, Bernard; Schulman, Lawrence S.
2
2017
Homotopy and path integrals in the time-dependent Aharonov-Bohm effect. Zbl 1235.81102
Gaveau, B.; Nounou, A. M.; Schulman, L. S.
1
2011
Bochner-Martinelli formulas on singular complex spaces. Zbl 1192.32001
Ancona, Vincenzo; Gaveau, Bernard
2
2010
Geometric analysis on a step 2 Grusin operator. Zbl 1178.53031
Chang, Chin-Huei; Chang, Der-Chen; Gaveau, Bernard; Greiner, Peter; Lee, Hsuan-Pei
3
2009
On geodesics in sub-Riemannian geometry. II. Zbl 1191.53025
Gaveau, Bernard; Greiner, Peter
3
2007
On geodesics in sub-Riemannian geometry. Zbl 1108.53019
Gaveau, Bernard; Greiner, Peter
3
2006
Differential forms on singular varieties. De Rham and Hodge theory simplified. Zbl 1088.58001
Ancona, Vincenzo; Gaveau, Bernard
3
2006
Imaging geometry through dynamics: the observable representation. Zbl 1114.82012
Gaveau, Bernard; Schulman, Lawrence S.; Schulman, Leonard J.
1
2006
Exterior products of forms and the cohomology ring of a complex space. Zbl 1105.32008
Ancona, Vincenzo; Gaveau, Bernard
1
2006
Dynamical distance: coarse grains, pattern recognition, and network analysis. Zbl 1093.82013
Gaveau, B.; Schulman, L. S.
4
2005
The mechanochemical stochastic processes of molecular motors. Zbl 1079.92034
Gaveau, B.; Moreau, M.; Schuman, B.
1
2005
Transversally elliptic operators. Zbl 1125.35302
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
5
2004
Creation, dissipation and recycling of resources in non-equilibrium systems. Zbl 1025.37031
Gaveau, B.; Schulman, L. S.
3
2003
Families of differential forms on complex spaces. Zbl 1170.35358
Gaveau, Bernard; Ancona, Vincenzo
2
2003
Hypergeometric symbolic calculus. II: Systems of confluent equations. Zbl 1029.35053
Debiard, Amédée; Gaveau, Bernard
2
2003
Differential forms, cycles and Hodge theory on complex analytic spaces. Zbl 1071.58001
Ancona, Vincenzo; Gaveau, Bernard
1
2003
Hypergeometric symbolic calculus. I: Systems of two symbolic hypergeometric equations. Zbl 1015.35023
Debiard, Amédée; Gaveau, Bernard
3
2002
Metastable lifetime for a class of chemical systems near criticality. Zbl 0971.80501
Gaveau, B.; Latrémolière, D.; Moreau, M.
1
2001
Hamilton-Jacobi theory and the heat kernel on Heisenberg groups. Zbl 0959.35035
Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C.
82
2000
Metastable relaxation times and absorption probabilities for multidimensional stochastic systems. Zbl 0974.60096
Gaveau, Bernard; Moreau, Michel
3
2000
A projector path integral for the Dirac equation and the spin derivation of space. Zbl 1004.81024
Gaveau, B.; Schulman, L. S.
2
2000
On Green’s functions for subelliptic operators. Zbl 0940.35056
Beals, Richard; Gaveau, Bernard; Greiner, Peter
2
2000
Spectral series, holomorphic forms and Hodge theory on certain analytic spaces. (Suites spectrales, formes holomorphes et théorie de Hodge de certains espaces analytiques.) Zbl 1115.32301
Ancona, Vincenzo; Gaveau, Bernard
1
2000
Scenarios for self-organized criticality in dynamical systems. Zbl 0986.82031
Gaveau, B.; Moreau, M.; Toth, J.
1
2000
Green’s functions for some highly degenerate elliptic operators. Zbl 0947.35078
Beals, Richard; Greiner, Peter; Gaveau, Bernard
17
1999
Exact fundamental solutions for a class of degenerate elliptic operators. Zbl 0933.35041
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
5
1999
Spectral signatures of hierarchical relaxation. Zbl 0932.82035
Gaveau, B.; Lesne, A.; Schulman, L. S.
2
1999
Theory of nonequilibrium first-order phase transitions for stochastic dynamics. Zbl 1056.82513
Gaveau, Bernard; Schulman, L. S.
11
1998
Uniform hypoelliptic Green’s functions. Zbl 0915.35029
Beals, Richard; Gaveau, Bernard; Greiner, Peter
8
1998
Subelliptic geometry. Zbl 0895.35006
Beals, Richard; Gaveau, Bernard; Greiner, Peter
1
1998
Hodge theory and holomorphic De Rham complexes for certain analytic spaces. I. (Théorie de Hodge et complexes de De Rham holomorphes pour certains espaces analytiques. I.) Zbl 0928.32004
Ancona, Vincenzo; Gaveau, Bernard
1
1998
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I. Zbl 0886.35001
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
22
1997
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. II. Zbl 0886.35002
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
6
1997
A general framework for nonequilibrium phenomena: The master equation and its formal consequences. Zbl 1072.82537
Gaveau, Bernard; Schulman, L. S.
5
1997
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. III. Zbl 0886.35003
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
4
1997
The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes. Zbl 0858.43009
Beals, Richard; Gaveau, Bernard; Greiner, Peter
48
1996
On a geometric formula for the fundamental solution of subelliptic Laplacians. Zbl 0864.35005
Beals, Richard; Gaveau, Bernard; Greiner, Peter
19
1996
Master equation based formulation of nonequilibrium statistical mechanics. Zbl 0861.73011
Gaveau, Bernard; Schulman, L. S.
7
1996
Decay of the metastable state in a chemical system: Different predictions between discrete and continuous models. Zbl 0856.60079
Gaveau, Bernard; Moreau, Michel; Toth, Janos
4
1996
Resonant effects on rate constants in the presence of fluctuating barriers. Zbl 1073.80505
Gaveau, Bernard; Moreau, Michel
1
1996
The Cauchy problem for the stochastic wave equation. Zbl 0834.60069
Gaveau, Bernard
2
1995
Limited quantum decay. Zbl 0878.34073
Gaveau, B.; Schulman, L. S.
1
1995
Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\). Zbl 0815.33010
Debiard, Amédée; Gaveau, Bernard
4
1994
Differential forms and resolution on certain analytic spaces. III: Spectral resolution. Zbl 0817.32006
Ancona, Vincenzo; Gaveau, Bernard
3
1994
Resonance effects for chemical reactivity in complex media. Zbl 0874.92036
Gaveau, B.; Moreau, M.
2
1994
Statistical mechanics of a crystal surface. Zbl 0831.58059
Gaveau, Bernard; Ławrynowicz, Julian; Wojtczak, Leszek
2
1994
Explicit heat kernel on generalized cones. Zbl 0810.35142
Angad-Gaur, Hendrik W. K.; Gaveau, Bernard; Okada, Masami
1
1994
The de Rham complex of a reduced analytic space. Zbl 0827.32005
Ancona, Vincenzo; Gaveau, Bernard
1
1994
Explicit heat kernels on graphs and spectral analysis. Zbl 0803.35062
Gaveau, Bernard; Okada, Masami; Okada, Tatsuya
11
1993
Finite-size scaling for mean-field percolation. Zbl 0935.82527
Gaveau, B.; Schulman, L. S.
4
1993
De Rham theorems on an analytic space. (Théorèmes de De Rham sur un espace analytique.) Zbl 0810.32009
Ancona, Vincenzo; Gaveau, Bernard
2
1993
Integrals of differential forms and De Rham theorems on an analytic space. (Intégrales de formes différentielles et théorèmes de De Rham sur un espace analytique.) Zbl 0789.32006
Ancona, Vincenzo; Gaveau, Bernard
1
1993
Anomalous diffusion in a random velocity field. Zbl 0925.82175
Gaveau, B.; Schulman, L. S.
3
1992
Differential forms and resolutions on certain analytic spaces. I: Irreducible exceptional divisor. Zbl 0766.32026
Ancona, Vincenzo; Gaveau, Bernard
2
1992
Differential forms and resolutions on certain analytic spaces. II: Flat resolutions. Zbl 0766.32027
Ancona, Vincenzo; Gaveau, Bernard
2
1992
Le complexe de De Rham d’un espace analytique normal. (The De Rham complex of a normal analytic space). Zbl 0784.32012
Ancona, Vincenzo; Gaveau, Bernard
1
1992
Differential forms and heat diffusion on one-dimensional singular varieties. Zbl 0722.58003
Gaveau, Bernard; Okada, Masami
5
1991
Représentation intégrale de certaines séries de fonctions sphériques d’un système de racines \(BC\). (Integral representation of certain series of spherical functions of a root system \(BC\)). Zbl 0735.33009
Debiard, Amédée; Gaveau, Bernard
4
1991
Linear decay in multilevel quantum systems. Zbl 0729.35110
Schulman, L. S.; Doering, C. R.; Gaveau, B.
2
1991
Asymptotic expansions of certain vanishing integrals. I. (Développements asymptotiques de certaines intégrales évanescentes. I.) Zbl 0754.41034
Gaveau, Bernard
1
1991
Hypergeometric ladders and spherical polynomials for root systems \(BC\) of rank 2. Zbl 0762.33009
Debiard, Amédée; Gaveau, Bernard
1
1991
Mean-field self-organized criticality. Zbl 0728.60101
Gaveau, Bernard; Schulman, L. S.
1
1991
Equilibrium properties of a multi-urn model. Zbl 0850.70150
Gaveau, B.; Schulman, L. S.
1
1990
Metastable decay rates and analytic continuation. Zbl 0681.60083
Gaveau, B.; Schulman, L. S.
3
1989
Sensitive terms in the path integral: Ordering and stochastic options. Zbl 0692.58048
Gaveau, B.; Schulman, L. S.
3
1989
Fonctions hypergéométriques et fonctions sphériques pour un système de racines BC de rang 2. (Hypergeometric functions and spherical functions for a root system of type BC and rank 2). Zbl 0674.33007
Debiard, Amédée; Gaveau, Bernard
2
1989
The stationary phase method for certain degenerate critical points. I. Zbl 0704.41022
Dostal, Milos; Gaveau, Bernard
2
1989
Le problème de Cauchy pour une équation d’ondes stochastique. (The Cauchy problem for a stochastic wave equation). Zbl 0673.60063
Gaveau, Bernard
1
1989
Représentations intégrales de certaines fonctions sphériques d’un système de racines BC de rang p. (Integral representation of certain spherical functions of a root system BC of rank p). Zbl 0685.33005
Debiard, Amédée; Gaveau, Bernard
1
1989
A path integral formula for certain fourth-order elliptic operators. Zbl 0644.60046
Gaveau, Bernard; Sainty, Phillipe
3
1988
Annulation de la cohomologie pour des fibrés à courbure de signe variable sur une variété kählerienne. (Vanishing of the cohomology of fiber bundles on Kähler manifolds with a curvature of changing sign). Zbl 0668.32028
Ancona, Vincenzo; Gaveau, Bernard
2
1988
An anomalous diffusion in a long-range disordered lattice. Zbl 0644.60106
Gaveau, Bernard; Méritet, Alain
1
1988
Analysis on root systems. Zbl 0647.22004
Debiard, Amédée; Gaveau, Bernard
11
1987
Second order differential operators and Dirichlet integrals with singular coefficients. I: Functional calculus of one-dimensional operators. Zbl 0653.35034
Gaveau, Bernard; Okada, Masami; Okada, Tatsuya
9
1987
Grassmann-valued processes for the Weyl and the Dirac equations. Zbl 0692.58047
Gaveau, B.; Schulman, L. S.
5
1987
Développements asymptotiques explicites d’intégrales de Fourier pour certains points critiques dégénérés. (Explicit asymptotic expansion of Fourier integrals with certain degenerate critical points). Zbl 0631.42001
Dostal, Milos; Gaveau, Bernard
1
1987
Explicit time-dependent Schrödinger propagators. Zbl 0621.35082
Gaveau, Bernard; Schulman, Lawrence S.
23
1986
The Laguerre calculus on the Heisenberg group. II. Zbl 0609.43008
Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C.; Vauthier, Jacques
13
1986
Intégrales de Fourier quadratiques et calcul symbolique exact sur le groupe d’Heisenberg. (Quadratic Fourier integrals and exact symbolic calculus on the Heisenberg group). Zbl 0609.43007
Gaveau, Bernard; Greiner, Peter; Vauthier, Jacques
2
1986
Noyaux de la chaleur pour certaines équations hypergéométriques et application aux espaces symétriques de rang 1. (Heat kernels of hypergeometric equations and application to rank 1 symmetric spaces). Zbl 0623.35017
Debiard, Amédée; Gaveau, Bernard
2
1986
Noyaux de la chaleur, systèmes de racines, et espaces symétriques de type \(B_ 2\). (Heat kernels for root systems and symmetric spaces of type \(B_ 2)\). Zbl 0637.35040
Debiard, Amédée; Gaveau, Bernard
1
1986
Equations de Cauchy-Riemann sur SU(2) et leurs enveloppes d’holomorphie. (The Cauchy-Riemann equations on SU(2) and their envelopes of holomorphy). Zbl 0603.32009
Debiard, Amédée; Gaveau, Bernard
1
1986
Régularité des mesures et perturbations stochastiques de champs de vecteurs sur des espaces de dimension infinie (Regularity of measures and stochastic perturbations of vector fields on infinite-dimensional spaces). Zbl 0587.60042
Gaveau, Bernard; Moulinier, Jean-Marc
12
1985
On a class of non-Markovian collision processes and their evolution equation. Zbl 0588.60090
Gaveau, B.; Moreau, M.
2
1985
Quantum fields and Poisson processes: Interaction of a cut-off boson field with a quantum particle. Zbl 0574.60099
Bertrand, Jacqueline; Gaveau, Bernard; Rideau, Guy
1
1985
The Dirichlet problem for the subelliptic Laplacian on the Heisenberg group. II. Zbl 0578.22009
Gaveau, Bernard; Vauthier, Jacques
1
1985
Intégrales oscillantes stochastiques et front d’onde des solutions d’équations semi-elliptiques (Stochastic oscillating integrals and wave front set of solutions of semi-elliptic equations). Zbl 0587.60041
Gaveau, Bernard; Moulinier, Jean-Marc
1
1985
Analyse sur certaines sous-variétés de l’espace de Wiener. (Analysis on certain submanifolds of Wiener space). Zbl 0588.46031
Gaveau, Bernard
1
1985
Equations for hulls of holomorphy and foliations. Zbl 0595.32016
Gaveau, B.
1
1985
Une définition de l’intégrale d’aire pour les fonctions holomorphes d’un domaine de Siegel. (Area integrals for holomorphic functions in a Siegel domain). Zbl 0613.32005
Debiard, Amédée; Gaveau, Bernard
1
1985
Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system. Zbl 0562.35055
Gaveau, Bernard
9
1984
Polynômes harmoniques et problème de Dirichlet de la boule du groupe de Heisenberg en présence de symétrie radiale. (Harmonic polynomials and Dirichlet’s problem for the unit ball of the Heisenberg group with radial data). Zbl 0567.31004
Gaveau, Bernard; Greiner, Peter; Vauthier, Jacques
3
1984
Calculs explicites de mesures plurisousharmoniques et des feuilletages associés. Zbl 0556.32009
Gaveau, Bernard; Kalina, Jerzy
1
1984
Envelopes of holomorphy of certain 2-spheres in \({\mathbb{C}}^ 2\). Zbl 0535.32008
Bedford, Eric; Gaveau, Bernard
41
1983
Intégrales oscillantes stochastiques: Estimation asymptotique de fonctionnelles caractéristiques. Zbl 0528.60049
Gaveau, Bernard; Moulinier, Jean-Marc
5
1983
Transformation canonique et renormalisation pour certaines équations d’évolution. Zbl 0524.35092
Bertrand, J.; Gaveau, B.
4
1983
Noyaux des probabilités de transition de certains opérateurs différentiels en dimension infinie. Zbl 0515.60079
Gaveau, Bernard
1
1983
Formule d’inversion en géométrie intégrale lagrangienne. Zbl 0532.58007
Debiard, Amédée; Gaveau, Bernard
1
1983
L’intégrale stochastique comme opérateur de divergence dans l’espace fonctionnel. Zbl 0488.60068
Gaveau, Bernard; Trauber, Philip
32
1982
...and 49 more Documents
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Cited by 793 Authors

52 Gaveau, Bernard
30 Chang, Der-Chen E.
14 Greiner, Peter C.
13 Nualart, David
12 Schulman, Lawrence S.
12 Tie, Jingzhi
11 Markina, Irina
10 Calin, Ovidiu L.
9 Beals, Richard W.
9 Furutani, Kenro
9 Moreau, Michel
8 Albeverio, Sergio A.
8 Bauer, Wolfram
8 Bedford, Eric
8 Debiard, Amédée
8 Lanconelli, Ermanno
8 Taniguchi, Setsuo
8 Wang, Wei
7 Ancona, Vincenzo
7 Iwasaki, Chisato
7 Montanari, Annamaria
7 Tomassini, Giuseppe
6 Baudoin, Fabrice
6 Citti, Giovanna
6 Kumar, Ajay
6 Li, Hongquan
6 Mishra, Mukund Madhav
5 Atsuji, Atsushi
5 Bonfiglioli, Andrea
5 Delgado, Julio
5 Garofalo, Nicola
5 Korányi, Adam
5 Lions, Pierre-Louis
5 Raich, Andrew S.
5 Suragan, Durvudkhan
5 Wang, Jing
4 Ben Arous, Gérard
4 Boggess, Albert
4 Bonnefont, Michel
4 Boscain, Ugo
4 Capuzzo Dolcetta, Italo
4 Chang, Shu-Cheng
4 Cruzeiro, Ana-Bela
4 Duits, Remco
4 Feng, Sheng-Ya
4 Fishman, Louis
4 Fuhrman, Marco
4 Huang, Xiaojun
4 Ichinose, Takashi
4 Ikeda, Nobuyuki
4 Kannai, Yakar
4 Li, Xiang-Dong
4 Malliavin, Paul
4 Mamon, Sergeĭ Vladimirovich
4 Martino, Vittorio
4 Qian, Bin
4 Rigot, Séverine
4 Ustunel, Ali Suleyman
4 Yang, Qiaohua
4 Yang, Xiaoping
4 Zegarlinski, Boguslaw
4 Zeriahi, Ahmed
4 Zili, Mounir
3 Ahmetolan, Semra
3 Bagby, Thomas
3 Barilari, Davide
3 Bieske, Thomas J.
3 Carmona, René A.
3 Cattaneo, Carla
3 Craddock, Mark
3 Cranston, Michael Craig
3 Eldredge, Nathaniel Gilbert Bartsch
3 Eyssidieux, Philippe
3 Franken, Erik
3 Guedj, Vincent
3 Hueber, Hermann
3 Inahama, Yuzuru
3 Jørgensen, Palle E. T.
3 Kombe, Ismail
3 Lokutsievskiy, Lev Viacheslavovich
3 Monti, Roberto
3 Morbidelli, Daniele
3 Müller, Detlef
3 Okada, Masami
3 Rossi, Francesco
3 Sachkov, Yuriĭ Leonidovich
3 Sanz-Solé, Marta
3 Simon, Barry
3 Sukhov, Alexandre B.
3 Vershik, Anatoliĭ Moiseevich
3 Wu, Qingyan
3 Zakai, Moshe
3 Zheng, Guangqu
3 Zhu, Fuliu
2 Åhag, Per
2 Airault, Hélène
2 Alòs, Elisa
2 Angulo Pava, Jaime
2 Aubin, Thierry Émilien Flavien
2 Autenried, Christian
...and 693 more Authors
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Cited in 201 Serials

69 Journal of Functional Analysis
26 Journal of Mathematical Physics
20 The Journal of Geometric Analysis
19 Probability Theory and Related Fields
18 Bulletin des Sciences Mathématiques
16 Mathematische Annalen
16 Potential Analysis
15 Journal of Statistical Physics
15 Advances in Mathematics
13 Transactions of the American Mathematical Society
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Inventiones Mathematicae
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Communications in Mathematical Physics
11 Journal of Differential Equations
11 Proceedings of the American Mathematical Society
10 Applicable Analysis
10 Communications in Partial Differential Equations
10 Stochastic Processes and their Applications
9 Journal d’Analyse Mathématique
9 Journal of Mathematical Analysis and Applications
9 Duke Mathematical Journal
8 Mathematische Zeitschrift
8 Complex Variables and Elliptic Equations
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Dynamical and Control Systems
6 Journal of Geometry and Physics
6 Mathematische Nachrichten
6 Stochastic Analysis and Applications
6 Revista Matemática Iberoamericana
5 Letters in Mathematical Physics
5 Acta Mathematica
5 Annales de l’Institut Fourier
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Journal of Mathematical Sciences (New York)
4 Israel Journal of Mathematics
4 Physica A
4 Physics Letters. A
4 Journal of Soviet Mathematics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Forum Mathematicum
4 Science in China. Series A
4 Bulletin of the American Mathematical Society. New Series
4 NoDEA. Nonlinear Differential Equations and Applications
4 The Journal of Fourier Analysis and Applications
4 Journal of Inequalities and Applications
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Analysis and Applications (Singapore)
4 Proceedings of the Steklov Institute of Mathematics
4 Science China. Mathematics
4 Analysis and Mathematical Physics
3 Journal of Mathematical Biology
3 Mathematical Notes
3 Arkiv för Matematik
3 Chaos, Solitons and Fractals
3 The Annals of Probability
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Applied Mathematics and Optimization
3 Bulletin de la Société Mathématique de France
3 Nagoya Mathematical Journal
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Results in Mathematics
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
3 International Journal of Mathematics
3 Calculus of Variations and Partial Differential Equations
3 Chaos
3 Acta Mathematica Sinica. English Series
3 Journal of High Energy Physics
3 Foundations of Physics
3 Complex Analysis and Operator Theory
2 International Journal of Modern Physics B
2 Bulletin of the Australian Mathematical Society
2 Communications on Pure and Applied Mathematics
2 Reports on Mathematical Physics
2 Stochastics
2 Bulletin of Mathematical Biology
2 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
2 Journal of Computational and Applied Mathematics
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Proceedings of the Japan Academy. Series A
2 Quarterly of Applied Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Advances in Applied Mathematics
2 Mathematical and Computer Modelling
2 Japan Journal of Industrial and Applied Mathematics
2 The Annals of Applied Probability
2 Differential Geometry and its Applications
2 Geometric and Functional Analysis. GAFA
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
2 SIAM Journal on Applied Mathematics
2 Stochastics and Stochastics Reports
2 Applied Mathematics. Series B (English Edition)
2 Doklady Mathematics
2 Communications in Contemporary Mathematics
...and 101 more Serials
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Cited in 50 Fields

267 Partial differential equations (35-XX)
178 Probability theory and stochastic processes (60-XX)
141 Global analysis, analysis on manifolds (58-XX)
115 Differential geometry (53-XX)
108 Several complex variables and analytic spaces (32-XX)
90 Topological groups, Lie groups (22-XX)
68 Abstract harmonic analysis (43-XX)
65 Quantum theory (81-XX)
55 Potential theory (31-XX)
51 Operator theory (47-XX)
37 Statistical mechanics, structure of matter (82-XX)
31 Functional analysis (46-XX)
27 Special functions (33-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
20 Functions of a complex variable (30-XX)
20 Dynamical systems and ergodic theory (37-XX)
19 Real functions (26-XX)
17 Ordinary differential equations (34-XX)
16 Measure and integration (28-XX)
15 Biology and other natural sciences (92-XX)
13 Numerical analysis (65-XX)
10 Approximations and expansions (41-XX)
9 Systems theory; control (93-XX)
8 Algebraic geometry (14-XX)
8 Fluid mechanics (76-XX)
8 Relativity and gravitational theory (83-XX)
7 Combinatorics (05-XX)
7 Mechanics of particles and systems (70-XX)
6 Statistics (62-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Nonassociative rings and algebras (17-XX)
5 Integral transforms, operational calculus (44-XX)
5 Manifolds and cell complexes (57-XX)
5 Mechanics of deformable solids (74-XX)
5 Information and communication theory, circuits (94-XX)
4 Number theory (11-XX)
4 Computer science (68-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Integral equations (45-XX)
3 Operations research, mathematical programming (90-XX)
2 Difference and functional equations (39-XX)
2 Algebraic topology (55-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Geometry (51-XX)
1 Optics, electromagnetic theory (78-XX)

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