Edit Profile (opens in new tab) Gaveau, Bernard Co-Author Distance Author ID: gaveau.bernard Published as: Gaveau, Bernard; Gaveau, B. External Links: dblp · GND Documents Indexed: 247 Publications since 1973, including 1 Book Co-Authors: 45 Co-Authors with 197 Joint Publications 916 Co-Co-Authors all top 5 Co-Authors 49 single-authored 43 Debiard, Amédée 27 Schulman, Lawrence S. 24 Ancona, Vincenzo 20 Greiner, Peter C. 18 Moreau, Michel 15 Beals, Richard W. 11 Mazet, Edmond 8 Ławrynowicz, Julian Mieczysław 8 Vauthier, Jacques 7 Trauber, Philip 6 Bertrand, Jacqueline 6 Okada, Masami 6 Wojtczak, Leszek 5 Dostal, Milos A. 5 Moulinier, Jean-Marc 5 Rideau, Guy 4 Kalina, Jerzy 4 Tóth, János 3 Okada, Tatsuya 2 Bedford, Eric 2 Gaveau, Marc-André 2 Kannai, Yakar 2 Latrémolière, Daniel 2 Laville, Guy 2 Meritet, Alain 1 Angad-Gaur, Hendrik W. K. 1 Berthier, Anne-Marie 1 Borgis, Daniel 1 Chang, Chin-Huei 1 Chang, Der-Chen E. 1 D’Ancona, Piero 1 Demailly, Jean-Pierre 1 Doering, Charles Rogers 1 Kac, Mark 1 Lee, Hsuan-Pei 1 Lesne, Annick 1 Maillard, Jacques 1 Malliavin, Paul 1 Martinás, Katalin 1 Maurel, Gérard 1 Nounou, Antigone M. 1 Sainty, Phillipe 1 Schulman, Leonard J. 1 Schuman, Bertrand 1 Walczak, Paweł Grzegorz all top 5 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 Tôhoku 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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 151 Publications have been cited 1,094 times in 797 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 0366.22010Gaveau, Bernard 241 1977 Hamilton-Jacobi theory and the heat kernel on Heisenberg groups. Zbl 0959.35035Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C. 89 2000 The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes. Zbl 0858.43009Beals, Richard; Gaveau, Bernard; Greiner, Peter 55 1996 Théoremes de comparaison en géométrie Riemannienne. Zbl 0382.31007Debiard, A.; Gaveau, B.; Mazet, E. 45 1976 Envelopes of holomorphy of certain 2-spheres in \({\mathbb{C}}^ 2\). Zbl 0535.32008Bedford, Eric; Gaveau, Bernard 44 1983 L’intégrale stochastique comme opérateur de divergence dans l’espace fonctionnel. Zbl 0488.60068Gaveau, Bernard; Trauber, Philip 36 1982 Explicit time-dependent Schrödinger propagators. Zbl 0621.35082Gaveau, Bernard; Schulman, Lawrence S. 27 1986 On a geometric formula for the fundamental solution of subelliptic Laplacians. Zbl 0864.35005Beals, Richard; Gaveau, Bernard; Greiner, Peter 25 1996 Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I. Zbl 0886.35001Beals, Richard; Gaveau, Bernard; Greiner, Peter C. 23 1997 Green’s functions for some highly degenerate elliptic operators. Zbl 0947.35078Beals, Richard; Greiner, Peter; Gaveau, Bernard 22 1999 Potentiel fin et algèbres de fonctions analytiques. I. Zbl 0297.31004Debiard, A.; Gaveau, B. 20 1974 Méthodes de contrôle optimal en analyse complexe. I: Résolution d’équation de Monge Ampère. Zbl 0356.35071Gaveau, Bernard 20 1977 Hypersurfaces with bounded Levi form. Zbl 0365.32011Bedford, Eric; Gaveau, Bernard 18 1978 Critère de convergence des fonctionnelles de Kac et application en mécanique quantique et en géométrie. Zbl 0398.60076Berthier, Anne Marie; Gaveau, Bernard 17 1978 Theory of nonequilibrium first-order phase transitions for stochastic dynamics. Zbl 1056.82513Gaveau, Bernard; Schulman, L. S. 13 1998 The Laguerre calculus on the Heisenberg group. II. Zbl 0609.43008Beals, 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 0587.60042Gaveau, Bernard; Moulinier, Jean-Marc 12 1985 Second order differential operators and Dirichlet integrals with singular coefficients. I: Functional calculus of one-dimensional operators. Zbl 0653.35034Gaveau, Bernard; Okada, Masami; Okada, Tatsuya 11 1987 Explicit heat kernels on graphs and spectral analysis. Zbl 0803.35062Gaveau, Bernard; Okada, Masami; Okada, Tatsuya 11 1993 Uniform hypoelliptic Green’s functions. Zbl 0915.35029Beals, Richard; Gaveau, Bernard; Greiner, Peter 11 1998 Analysis on root systems. Zbl 0647.22004Debiard, Amédée; Gaveau, Bernard 11 1987 Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system. Zbl 0562.35055Gaveau, Bernard 10 1984 Master equation based formulation of nonequilibrium statistical mechanics. Zbl 0861.73011Gaveau, Bernard; Schulman, L. S. 9 1996 Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. II. Zbl 0886.35002Beals, Richard; Gaveau, Bernard; Greiner, Peter C. 8 1997 Intégrales oscillantes stochastiques: l’équation de Pauli. Zbl 0473.60051Gaveau, Bernard; Vauthier, Jacques 7 1981 Problème de Dirichlet pour l’équation de Levi. Zbl 0411.35015Debiard, Amedee; Gaveau, Bernard 7 1978 Intégrale stochastique radonifiante. Zbl 0256.60049Gaveau, Bernard 7 1973 A general framework for nonequilibrium phenomena: The master equation and its formal consequences. Zbl 1072.82537Gaveau, Bernard; Schulman, L. S. 7 1997 Transversally elliptic operators. Zbl 1125.35302Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar 6 2004 Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. III. Zbl 0886.35003Beals, Richard; Gaveau, Bernard; Greiner, Peter C. 6 1997 Différentiabilite des fonctions finement harmoniques. Zbl 0312.31004Debiard, A.; Gaveau, B. 6 1975 Théoremes de comparaison en géométrie riemannienne. Zbl 0327.58014Debiard, Amedee; Gaveau, Bernard; Mazet, Edmond 6 1975 Frontière de Silov de domaines faiblement pseudoconvexes de \(\mathbb{C}^n\). Zbl 0332.32010Debiard, Amedee; Gaveau, Bernard 6 1976 Differential forms on singular varieties. De Rham and Hodge theory simplified. Zbl 1088.58001Ancona, Vincenzo; Gaveau, Bernard 5 2006 Finite-size scaling for mean-field percolation. Zbl 0935.82527Gaveau, B.; Schulman, L. S. 5 1993 Exact fundamental solutions for a class of degenerate elliptic operators. Zbl 0933.35041Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar 5 1999 Grassmann-valued processes for the Weyl and the Dirac equations. Zbl 0692.58047Gaveau, B.; Schulman, L. S. 5 1987 Differential forms and heat diffusion on one-dimensional singular varieties. Zbl 0722.58003Gaveau, Bernard; Okada, Masami 5 1991 Intégrales oscillantes stochastiques: Estimation asymptotique de fonctionnelles caractéristiques. Zbl 0528.60049Gaveau, Bernard; Moulinier, Jean-Marc 5 1983 Geometric analysis on a step 2 Grusin operator. Zbl 1178.53031Chang, Chin-Huei; Chang, Der-Chen; Gaveau, Bernard; Greiner, Peter; Lee, Hsuan-Pei 4 2009 Statistical mechanics of a crystal surface. Zbl 0831.58059Gaveau, Bernard; Ławrynowicz, Julian; Wojtczak, Leszek 4 1994 Decay of the metastable state in a chemical system: Different predictions between discrete and continuous models. Zbl 0856.60079Gaveau, Bernard; Moreau, Michel; Toth, Janos 4 1996 Transformation canonique et renormalisation pour certaines équations d’évolution. Zbl 0524.35092Bertrand, J.; Gaveau, B. 4 1983 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 0735.33009Debiard, Amédée; Gaveau, Bernard 4 1991 Anomalous diffusion in a random velocity field. Zbl 0925.82175Gaveau, B.; Schulman, L. S. 4 1992 Méthodes de contrôle optimal en analyse complexe, II. Equation de Monge- Ampère dans certains domaines faiblement pseudoconvexes. Zbl 0382.35026Gaveau, Bernard 4 1978 Systemes dynamiques associes à certains opérateurs hypoelliptiques. Zbl 0391.35019Gaveau, Bernard 4 1978 Problème de Dirichlet pour l’équation de Levi. Zbl 0413.35067Debiard, Amedee; Gaveau, Bernard 4 1978 Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\). Zbl 0815.33010Debiard, Amédée; Gaveau, Bernard 4 1994 Dynamical distance: coarse grains, pattern recognition, and network analysis. Zbl 1093.82013Gaveau, B.; Schulman, L. S. 4 2005 Noyau des probabilités de transition de certains opérateurs d’Ornstein- Uhlenbeck dans l’espace de Hilbert. Zbl 0484.35077Gaveau, Bernard 4 1981 A path integral formula for certain fourth-order elliptic operators. Zbl 0644.60046Gaveau, Bernard; Sainty, Phillipe 3 1988 Diffusion et intégration sur les espaces de lacets. Zbl 0426.60071Gaveau, Bernard; Mazet, Edmond 3 1979 Mesures et représentations non locales pour les groupes de Lie d’applications. Zbl 0451.60012Gaveau, Bernard; Trauber, Philip 3 1980 Metastable relaxation times and absorption probabilities for multidimensional stochastic systems. Zbl 0974.60096Gaveau, Bernard; Moreau, Michel 3 2000 Hypergeometric symbolic calculus. I: Systems of two symbolic hypergeometric equations. Zbl 1015.35023Debiard, Amédée; Gaveau, Bernard 3 2002 Creation, dissipation and recycling of resources in non-equilibrium systems. Zbl 1025.37031Gaveau, B.; Schulman, L. S. 3 2003 On geodesics in sub-Riemannian geometry. II. Zbl 1191.53025Gaveau, Bernard; Greiner, Peter 3 2007 Potentiel fin et algèbres de fonctions. III. Zbl 0317.31004Debiard, A.; Gaveau, B. 3 1976 Méthode de contrôle optimal en analyse complexe; applications aux spectres et à un problème quasilineaire elliptique dégénérée. Zbl 0401.49006Debiard, Amedee; Gaveau, Bernard 3 1977 Differential forms and resolution on certain analytic spaces. III: Spectral resolution. Zbl 0817.32006Ancona, Vincenzo; Gaveau, Bernard 3 1994 Hypergeometric symbolic calculus. II: Systems of confluent equations. Zbl 1029.35053Debiard, Amédée; Gaveau, Bernard 3 2003 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 0567.31004Gaveau, Bernard; Greiner, Peter; Vauthier, Jacques 3 1984 Metastable decay rates and analytic continuation. Zbl 0681.60083Gaveau, B.; Schulman, L. S. 3 1989 Sensitive terms in the path integral: Ordering and stochastic options. Zbl 0692.58048Gaveau, B.; Schulman, L. S. 3 1989 Homotopy and path integrals in the time-dependent Aharonov-Bohm effect. Zbl 1235.81102Gaveau, B.; Nounou, A. M.; Schulman, L. S. 3 2011 On geodesics in sub-Riemannian geometry. Zbl 1108.53019Gaveau, Bernard; Greiner, Peter 3 2006 Spectral signatures of hierarchical relaxation. Zbl 0932.82035Gaveau, B.; Lesne, A.; Schulman, L. S. 3 1999 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 0609.43007Gaveau, 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 0623.35017Debiard, Amédée; Gaveau, Bernard 2 1986 Bochner-Martinelli formulas on singular complex spaces. Zbl 1192.32001Ancona, Vincenzo; Gaveau, Bernard 2 2010 A projector path integral for the Dirac equation and the spin derivation of space. Zbl 1004.81024Gaveau, B.; Schulman, L. S. 2 2000 Resonance effects for chemical reactivity in complex media. Zbl 0874.92036Gaveau, B.; Moreau, M. 2 1994 Limited quantum decay. Zbl 0878.34073Gaveau, B.; Schulman, L. S. 2 1995 Fonctions propres et non-existence absolue d’etats lies dans certains systèmes quantiques. Zbl 0422.47008Gaveau, Bernard 2 1979 Divergence des fonctionnelles de Kac et diffusion quantique. Zbl 0451.60072Gaveau, Bernard; Mazet, Edmond 2 1980 Une approche rigoureuse à la quantification locale du champ de Yang-Mills avec cut-off. Zbl 0461.60100Gaveau, Bernard; Trauber, Philip 2 1980 Scenarios for self-organized criticality in dynamical systems. Zbl 0986.82031Gaveau, B.; Moreau, M.; Toth, J. 2 2000 The Cauchy problem for the stochastic wave equation. Zbl 0834.60069Gaveau, Bernard 2 1995 Holonomie stochastique et représentations du groupe d’Heisenberg. Zbl 0294.43013Gaveau, Bernard 2 1975 Frontière de Jensen d’une algèbre de fonctions. Zbl 0297.31010Debiard, Amedee; Gaveau, Bernard 2 1975 Solutions fondamentales, représentations, et estimees souselliptiques pour les groupes nilpotents d’ordre 2. Zbl 0322.43016Gaveau, Bernard 2 1976 Méthodes de contrôle optimal en analyse complexe; résolution d’équations de Monge-Ampère. Zbl 0349.49039Gaveau, Bernard 2 1977 An example of a phase transition in an open pseudobimolecular system. Zbl 0512.60079Gaveau, Marc Andre; Gaveau, Bernard 2 1982 Differential forms and resolutions on certain analytic spaces. I: Irreducible exceptional divisor. Zbl 0766.32026Ancona, Vincenzo; Gaveau, Bernard 2 1992 Differential forms and resolutions on certain analytic spaces. II: Flat resolutions. Zbl 0766.32027Ancona, Vincenzo; Gaveau, Bernard 2 1992 Méthode de contrôle optimal en analyse complexe ou réelle. III. Diffusion des fonctions plurisousharmoniques ou convexes. Zbl 0411.93043Gaveau, B. 2 1979 Families of differential forms on complex spaces. Zbl 1170.35358Gaveau, Bernard; Ancona, Vincenzo 2 2003 De Rham theorems on an analytic space. (Théorèmes de De Rham sur un espace analytique.) Zbl 0810.32009Ancona, Vincenzo; Gaveau, Bernard 2 1993 Intégrales harmoniques non abéliennes. (Non-abelian harmonic integrals). Zbl 0569.58002Gaveau, Bernard 2 1982 On a class of non-Markovian collision processes and their evolution equation. Zbl 0588.60090Gaveau, B.; Moreau, M. 2 1985 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 0674.33007Debiard, Amédée; Gaveau, Bernard 2 1989 Linear decay in multilevel quantum systems. Zbl 0729.35110Schulman, L. S.; Doering, C. R.; Gaveau, B. 2 1991 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 0668.32028Ancona, Vincenzo; Gaveau, Bernard 2 1988 The stationary phase method for certain degenerate critical points. I. Zbl 0704.41022Dostal, Milos; Gaveau, Bernard 2 1989 Temps d’arret des diffusions riemanniennes. Zbl 0274.53038Debiard, Amedee; Gaveau, Bernard; Mazet, Edmond 2 1974 Temps de sortie des boules normales et minoration locale de \(\lambda_1\). Zbl 0274.53039Debiard, Amedee; Gaveau, Bernard; Mazet, Edmond 2 1974 Méthodes de contrôle optimal en analyse complexe et en topologie. Zbl 0356.35070Gaveau, Bernard 2 1977 Opérateurs elliptiques et mesures sur l’espace des lacets invariants par le groupe des difféomorphismes du cercle. Zbl 0485.58019Gaveau, Bernard; Mazet, Edmond 2 1981 On Green’s functions for subelliptic operators. Zbl 0940.35056Beals, Richard; Gaveau, Bernard; Greiner, Peter 2 2000 Reconciling kinetic and quantum theory. Zbl 1437.81020Gaveau, B.; Schulman, L. S. 1 2020 Decoherence, the density matrix, the thermal state and the classical world. Zbl 1387.82038Gaveau, Bernard; Schulman, Lawrence S. 2 2017 Homotopy and path integrals in the time-dependent Aharonov-Bohm effect. Zbl 1235.81102Gaveau, B.; Nounou, A. M.; Schulman, L. S. 3 2011 Bochner-Martinelli formulas on singular complex spaces. Zbl 1192.32001Ancona, Vincenzo; Gaveau, Bernard 2 2010 Geometric analysis on a step 2 Grusin operator. Zbl 1178.53031Chang, Chin-Huei; Chang, Der-Chen; Gaveau, Bernard; Greiner, Peter; Lee, Hsuan-Pei 4 2009 On geodesics in sub-Riemannian geometry. II. Zbl 1191.53025Gaveau, Bernard; Greiner, Peter 3 2007 Differential forms on singular varieties. De Rham and Hodge theory simplified. Zbl 1088.58001Ancona, Vincenzo; Gaveau, Bernard 5 2006 On geodesics in sub-Riemannian geometry. Zbl 1108.53019Gaveau, Bernard; Greiner, Peter 3 2006 Exterior products of forms and the cohomology ring of a complex space. Zbl 1105.32008Ancona, Vincenzo; Gaveau, Bernard 1 2006 Imaging geometry through dynamics: the observable representation. Zbl 1114.82012Gaveau, Bernard; Schulman, Lawrence S.; Schulman, Leonard J. 1 2006 Dynamical distance: coarse grains, pattern recognition, and network analysis. Zbl 1093.82013Gaveau, B.; Schulman, L. S. 4 2005 The mechanochemical stochastic processes of molecular motors. Zbl 1079.92034Gaveau, B.; Moreau, M.; Schuman, B. 1 2005 Transversally elliptic operators. Zbl 1125.35302Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar 6 2004 Creation, dissipation and recycling of resources in non-equilibrium systems. Zbl 1025.37031Gaveau, B.; Schulman, L. S. 3 2003 Hypergeometric symbolic calculus. II: Systems of confluent equations. Zbl 1029.35053Debiard, Amédée; Gaveau, Bernard 3 2003 Families of differential forms on complex spaces. Zbl 1170.35358Gaveau, Bernard; Ancona, Vincenzo 2 2003 Differential forms, cycles and Hodge theory on complex analytic spaces. Zbl 1071.58001Ancona, Vincenzo; Gaveau, Bernard 1 2003 The heat kernel of subelliptic operators on Heisenberg groups. (Le noyau de la chaleur des opérateurs sous-elliptiques des groupes d’Heisenberg.) Zbl 1032.35062Beals, Richard; Gaveau, Bernard; Greiner, Peter 1 2003 Hypergeometric symbolic calculus. I: Systems of two symbolic hypergeometric equations. Zbl 1015.35023Debiard, Amédée; Gaveau, Bernard 3 2002 Metastable lifetime for a class of chemical systems near criticality. Zbl 0971.80501Gaveau, B.; Latrémolière, D.; Moreau, M. 1 2001 Hamilton-Jacobi theory and the heat kernel on Heisenberg groups. Zbl 0959.35035Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C. 89 2000 Metastable relaxation times and absorption probabilities for multidimensional stochastic systems. Zbl 0974.60096Gaveau, Bernard; Moreau, Michel 3 2000 A projector path integral for the Dirac equation and the spin derivation of space. Zbl 1004.81024Gaveau, B.; Schulman, L. S. 2 2000 Scenarios for self-organized criticality in dynamical systems. Zbl 0986.82031Gaveau, B.; Moreau, M.; Toth, J. 2 2000 On Green’s functions for subelliptic operators. Zbl 0940.35056Beals, 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 1115.32301Ancona, Vincenzo; Gaveau, Bernard 1 2000 Green’s functions for some highly degenerate elliptic operators. Zbl 0947.35078Beals, Richard; Greiner, Peter; Gaveau, Bernard 22 1999 Exact fundamental solutions for a class of degenerate elliptic operators. Zbl 0933.35041Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar 5 1999 Spectral signatures of hierarchical relaxation. Zbl 0932.82035Gaveau, B.; Lesne, A.; Schulman, L. S. 3 1999 Theory of nonequilibrium first-order phase transitions for stochastic dynamics. Zbl 1056.82513Gaveau, Bernard; Schulman, L. S. 13 1998 Uniform hypoelliptic Green’s functions. Zbl 0915.35029Beals, Richard; Gaveau, Bernard; Greiner, Peter 11 1998 Subelliptic geometry. Zbl 0895.35006Beals, 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 0928.32004Ancona, Vincenzo; Gaveau, Bernard 1 1998 Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I. Zbl 0886.35001Beals, Richard; Gaveau, Bernard; Greiner, Peter C. 23 1997 Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. II. Zbl 0886.35002Beals, Richard; Gaveau, Bernard; Greiner, Peter C. 8 1997 A general framework for nonequilibrium phenomena: The master equation and its formal consequences. Zbl 1072.82537Gaveau, Bernard; Schulman, L. S. 7 1997 Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. III. Zbl 0886.35003Beals, Richard; Gaveau, Bernard; Greiner, Peter C. 6 1997 The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes. Zbl 0858.43009Beals, Richard; Gaveau, Bernard; Greiner, Peter 55 1996 On a geometric formula for the fundamental solution of subelliptic Laplacians. Zbl 0864.35005Beals, Richard; Gaveau, Bernard; Greiner, Peter 25 1996 Master equation based formulation of nonequilibrium statistical mechanics. Zbl 0861.73011Gaveau, Bernard; Schulman, L. S. 9 1996 Decay of the metastable state in a chemical system: Different predictions between discrete and continuous models. Zbl 0856.60079Gaveau, Bernard; Moreau, Michel; Toth, Janos 4 1996 Resonant effects on rate constants in the presence of fluctuating barriers. Zbl 1073.80505Gaveau, Bernard; Moreau, Michel 1 1996 Limited quantum decay. Zbl 0878.34073Gaveau, B.; Schulman, L. S. 2 1995 The Cauchy problem for the stochastic wave equation. Zbl 0834.60069Gaveau, Bernard 2 1995 Statistical mechanics of a crystal surface. Zbl 0831.58059Gaveau, Bernard; Ławrynowicz, Julian; Wojtczak, Leszek 4 1994 Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\). Zbl 0815.33010Debiard, Amédée; Gaveau, Bernard 4 1994 Differential forms and resolution on certain analytic spaces. III: Spectral resolution. Zbl 0817.32006Ancona, Vincenzo; Gaveau, Bernard 3 1994 Resonance effects for chemical reactivity in complex media. Zbl 0874.92036Gaveau, B.; Moreau, M. 2 1994 The de Rham complex of a reduced analytic space. Zbl 0827.32005Ancona, Vincenzo; Gaveau, Bernard 1 1994 Explicit heat kernel on generalized cones. Zbl 0810.35142Angad-Gaur, Hendrik W. K.; Gaveau, Bernard; Okada, Masami 1 1994 Explicit heat kernels on graphs and spectral analysis. Zbl 0803.35062Gaveau, Bernard; Okada, Masami; Okada, Tatsuya 11 1993 Finite-size scaling for mean-field percolation. Zbl 0935.82527Gaveau, B.; Schulman, L. S. 5 1993 De Rham theorems on an analytic space. (Théorèmes de De Rham sur un espace analytique.) Zbl 0810.32009Ancona, 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 0789.32006Ancona, Vincenzo; Gaveau, Bernard 1 1993 Anomalous diffusion in a random velocity field. Zbl 0925.82175Gaveau, B.; Schulman, L. S. 4 1992 Differential forms and resolutions on certain analytic spaces. I: Irreducible exceptional divisor. Zbl 0766.32026Ancona, Vincenzo; Gaveau, Bernard 2 1992 Differential forms and resolutions on certain analytic spaces. II: Flat resolutions. Zbl 0766.32027Ancona, 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 0784.32012Ancona, Vincenzo; Gaveau, Bernard 1 1992 Differential forms and heat diffusion on one-dimensional singular varieties. Zbl 0722.58003Gaveau, 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 0735.33009Debiard, Amédée; Gaveau, Bernard 4 1991 Linear decay in multilevel quantum systems. Zbl 0729.35110Schulman, L. S.; Doering, C. R.; Gaveau, B. 2 1991 Asymptotic expansions of certain vanishing integrals. I. (Développements asymptotiques de certaines intégrales évanescentes. I.) Zbl 0754.41034Gaveau, Bernard 1 1991 Hypergeometric ladders and spherical polynomials for root systems \(BC\) of rank 2. Zbl 0762.33009Debiard, Amédée; Gaveau, Bernard 1 1991 Mean-field self-organized criticality. Zbl 0728.60101Gaveau, Bernard; Schulman, L. S. 1 1991 Equilibrium properties of a multi-urn model. Zbl 0850.70150Gaveau, B.; Schulman, L. S. 1 1990 Metastable decay rates and analytic continuation. Zbl 0681.60083Gaveau, B.; Schulman, L. S. 3 1989 Sensitive terms in the path integral: Ordering and stochastic options. Zbl 0692.58048Gaveau, 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 0674.33007Debiard, Amédée; Gaveau, Bernard 2 1989 The stationary phase method for certain degenerate critical points. I. Zbl 0704.41022Dostal, Milos; Gaveau, Bernard 2 1989 Le problème de Cauchy pour une équation d’ondes stochastique. (The Cauchy problem for a stochastic wave equation). Zbl 0673.60063Gaveau, 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 0685.33005Debiard, Amédée; Gaveau, Bernard 1 1989 A path integral formula for certain fourth-order elliptic operators. Zbl 0644.60046Gaveau, 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 0668.32028Ancona, Vincenzo; Gaveau, Bernard 2 1988 An anomalous diffusion in a long-range disordered lattice. Zbl 0644.60106Gaveau, Bernard; Méritet, Alain 1 1988 Second order differential operators and Dirichlet integrals with singular coefficients. I: Functional calculus of one-dimensional operators. Zbl 0653.35034Gaveau, Bernard; Okada, Masami; Okada, Tatsuya 11 1987 Analysis on root systems. Zbl 0647.22004Debiard, Amédée; Gaveau, Bernard 11 1987 Grassmann-valued processes for the Weyl and the Dirac equations. Zbl 0692.58047Gaveau, 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 0631.42001Dostal, Milos; Gaveau, Bernard 1 1987 Explicit time-dependent Schrödinger propagators. Zbl 0621.35082Gaveau, Bernard; Schulman, Lawrence S. 27 1986 The Laguerre calculus on the Heisenberg group. II. Zbl 0609.43008Beals, 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 0609.43007Gaveau, 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 0623.35017Debiard, Amédée; Gaveau, Bernard 2 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 0603.32009Debiard, Amédée; Gaveau, Bernard 1 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 0637.35040Debiard, 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 0587.60042Gaveau, Bernard; Moulinier, Jean-Marc 12 1985 On a class of non-Markovian collision processes and their evolution equation. Zbl 0588.60090Gaveau, B.; Moreau, M. 2 1985 Equations for hulls of holomorphy and foliations. Zbl 0595.32016Gaveau, 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 0613.32005Debiard, Amédée; Gaveau, Bernard 1 1985 Quantum fields and Poisson processes: Interaction of a cut-off boson field with a quantum particle. Zbl 0574.60099Bertrand, Jacqueline; Gaveau, Bernard; Rideau, Guy 1 1985 The Dirichlet problem for the subelliptic Laplacian on the Heisenberg group. II. Zbl 0578.22009Gaveau, 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 0587.60041Gaveau, Bernard; Moulinier, Jean-Marc 1 1985 Analyse sur certaines sous-variétés de l’espace de Wiener. (Analysis on certain submanifolds of Wiener space). Zbl 0588.46031Gaveau, Bernard 1 1985 Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system. Zbl 0562.35055Gaveau, Bernard 10 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 0567.31004Gaveau, Bernard; Greiner, Peter; Vauthier, Jacques 3 1984 Calculs explicites de mesures plurisousharmoniques et des feuilletages associés. Zbl 0556.32009Gaveau, Bernard; Kalina, Jerzy 1 1984 Envelopes of holomorphy of certain 2-spheres in \({\mathbb{C}}^ 2\). Zbl 0535.32008Bedford, Eric; Gaveau, Bernard 44 1983 Intégrales oscillantes stochastiques: Estimation asymptotique de fonctionnelles caractéristiques. Zbl 0528.60049Gaveau, Bernard; Moulinier, Jean-Marc 5 1983 Transformation canonique et renormalisation pour certaines équations d’évolution. Zbl 0524.35092Bertrand, J.; Gaveau, B. 4 1983 Noyaux des probabilités de transition de certains opérateurs différentiels en dimension infinie. Zbl 0515.60079Gaveau, Bernard 1 1983 Formule d’inversion en géométrie intégrale lagrangienne. Zbl 0532.58007Debiard, Amédée; Gaveau, Bernard 1 1983 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 872 Authors 52 Gaveau, Bernard 30 Chang, Der-Chen E. 16 Nualart, David 14 Greiner, Peter C. 12 Schulman, Lawrence S. 12 Tie, Jingzhi 11 Markina, Irina 10 Calin, Ovidiu L. 10 Wang, Wei 9 Bauer, Wolfram 9 Beals, Richard W. 9 Furutani, Kenro 9 Montanari, Annamaria 9 Moreau, Michel 8 Albeverio, Sergio A. 8 Baudoin, Fabrice 8 Bedford, Eric 8 Debiard, Amédée 8 Lanconelli, Ermanno 8 Mishra, Mukund Madhav 8 Raich, Andrew S. 8 Taniguchi, Setsuo 7 Ancona, Vincenzo 7 Boggess, Albert 7 Bonfiglioli, Andrea 7 Citti, Giovanna 7 Garofalo, Nicola 7 Iwasaki, Chisato 7 Li, Hongquan 7 Tomassini, Giuseppe 6 Kumar, Ajay 6 Wang, Jing 5 Atsuji, Atsushi 5 Delgado, Julio 5 Korányi, Adam 5 Lions, Pierre-Louis 5 Suragan, Durvudkhan 4 Ben Arous, Gérard 4 Bieske, Thomas J. 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 Morbidelli, Daniele 4 Qian, Bin 4 Rigot, Séverine 4 Sachkov, Yuriĭ Leonidovich 4 Ustunel, Ali Suleyman 4 Wu, Qingyan 4 Yang, Qiaohua 4 Yang, Xiaoping 4 Zegarlinski, Boguslaw 4 Zeriahi, Ahmed 4 Zheng, Guangqu 4 Zili, Mounir 3 Åhag, Per 3 Ahmetolan, Semra 3 Bagby, Thomas 3 Banica, Valeria 3 Barilari, Davide 3 Carmona, René A. 3 Cattaneo, Carla 3 Craddock, Mark 3 Cranston, Michael Craig 3 Cupini, Giovanni 3 Czyż, Rafał 3 Dubey, Shivani 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 Lejay, Antoine 3 Lokutsievskiy, Lev Viacheslavovich 3 Monti, Roberto 3 Müller, Detlef 3 Myers, Robert C. 3 Okada, Masami 3 Pinsky, Mark Allan 3 Rossi, Francesco 3 Sanz-Solé, Marta 3 Simon, Barry 3 Sukhov, Alexandre B. 3 Tralli, Giulio ...and 772 more Authors all top 5 Cited in 218 Serials 72 Journal of Functional Analysis 26 Journal of Mathematical Physics 26 The Journal of Geometric Analysis 19 Probability Theory and Related Fields 19 Bulletin des Sciences Mathématiques 17 Potential Analysis 16 Advances in Mathematics 16 Mathematische Annalen 15 Journal of Statistical Physics 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Transactions of the American Mathematical Society 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Inventiones Mathematicae 11 Communications in Mathematical Physics 11 Journal of Differential Equations 11 Proceedings of the American Mathematical Society 10 Applicable Analysis 10 Journal d’Analyse Mathématique 10 Communications in Partial Differential Equations 10 Stochastic Processes and their Applications 9 Journal of Mathematical Analysis and Applications 9 Duke Mathematical Journal 8 Physica A 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 Annales de l’Institut Fourier 6 Mathematische Nachrichten 6 Stochastic Analysis and Applications 6 Revista Matemática Iberoamericana 6 The Journal of Fourier Analysis and Applications 5 Letters in Mathematical Physics 5 Physics Letters. 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Calcul des Probabilités et Statistique 2 Annals of Physics ...and 118 more Serials all top 5 Cited in 51 Fields 295 Partial differential equations (35-XX) 191 Probability theory and stochastic processes (60-XX) 151 Global analysis, analysis on manifolds (58-XX) 130 Differential geometry (53-XX) 120 Several complex variables and analytic spaces (32-XX) 96 Topological groups, Lie groups (22-XX) 73 Quantum theory (81-XX) 72 Abstract harmonic analysis (43-XX) 58 Potential theory (31-XX) 56 Operator theory (47-XX) 45 Statistical mechanics, structure of matter (82-XX) 34 Functional analysis (46-XX) 27 Special functions (33-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 22 Functions of a complex variable (30-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Real functions (26-XX) 18 Ordinary differential equations (34-XX) 17 Biology and other natural sciences (92-XX) 16 Measure and integration (28-XX) 14 Numerical analysis (65-XX) 12 Approximations and expansions (41-XX) 11 Algebraic geometry (14-XX) 9 Relativity and gravitational theory (83-XX) 9 Systems theory; control (93-XX) 8 Combinatorics (05-XX) 8 Statistics (62-XX) 8 Fluid mechanics (76-XX) 7 Manifolds and cell complexes (57-XX) 7 Mechanics of particles and systems (70-XX) 6 Nonassociative rings and algebras (17-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of deformable solids (74-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 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Geometry (51-XX) Citations by Year