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Gross, Leonard

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Author ID: gross.leonard Recent zbMATH articles by "Gross, Leonard"
Published as: Gross, L.; Gross, Leonard
Homepage: https://www.math.cornell.edu/m/People/bynetid/lg35
External Links: MGP · Wikidata
Documents Indexed: 59 Publications since 1960, including 2 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 1,648 times in 1,277 Documents Cited by Year
Logarithmic Sobolev inequalities. Zbl 0318.46049
Gross, Leonard
565
1976
Potential theory on Hilbert space. Zbl 0165.16403
Gross, L.
181
1967
Logarithmic Sobolev inequalities and contractivity properties of semigroups. Zbl 0812.47037
Gross, Leonard
102
1993
Existence and uniqueness of physical ground states. Zbl 0237.47012
Gross, Leonard
88
1972
Abstract Wiener spaces. Zbl 0187.40903
Gross, L.
72
1967
Measurable functions on Hilbert space. Zbl 0178.50001
Gross, L.
59
1962
Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form. Zbl 0359.46038
Gross, Leonard
42
1975
The Cauchy problem for the coupled Maxwell and Dirac equations. Zbl 0137.32401
Gross, L.
42
1966
Logarithmic Sobolev inequalities on loop groups. Zbl 0742.22003
Gross, Leonard
38
1991
Uniqueness of ground states for Schrödinger operators over loop groups. Zbl 0774.60059
Gross, Leonard
35
1993
Harmonic analysis on Hilbert space. Zbl 0118.32201
Gross, L.
35
1963
Hall’s transform and the Segal-Bargmann map. Zbl 0869.22006
Gross, Leonard; Malliavin, Paul
32
1996
Two dimensional Yang-Mills theory via stochastic differential equations. Zbl 0698.60047
Gross, Leonard; King, Christopher; Sengupta, Ambar
31
1989
Integration and nonlinear transformations in Hilbert space. Zbl 0090.33303
Gross, Leonard
31
1960
Decay of correlations in classical lattice models at high temperature. Zbl 0442.60097
Gross, Leonard
26
1979
A Poincaré lemma for connection forms. Zbl 0624.53021
Gross, Leonard
25
1985
Norm invariance of mass-zero equations under the conformal group. Zbl 0127.39306
Gross, L.
21
1964
Hypercontractivity over complex manifolds. Zbl 0983.47026
Gross, Leonard
19
1999
On the formula of Mathews and Salam. Zbl 0414.47010
Gross, Leonard
18
1977
Herbst inequalities for supercontractive semigroups. Zbl 0928.47032
Gross, Leonard; Rothaus, Oscar
15
1998
The relativistic polaron without cutoffs. Zbl 1125.81310
Gross, Leonard
15
1973
Holomorphic functions and subelliptic heat kernels over Lie groups. Zbl 1193.32023
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
14
2009
Convergence of \(\text{U}(1)_ 3\) lattice gauge theory to its continuum limit. Zbl 0571.60011
Gross, Leonard
13
1983
Abstract Wiener measure and infinite dimensional potential theory. Zbl 0203.13002
Gross, L.
13
1970
The Yang-Mills heat semigroup on three-manifolds with boundary. Zbl 1279.58005
Charalambous, Nelia; Gross, Leonard
12
2013
Hypercontractivity: A bibliographic review. Zbl 0790.46055
Davies, E. Brian; Gross, Leonard; Simon, Barry
11
1992
Neumann domination for the Yang-Mills heat equation. Zbl 1321.81041
Charalambous, Nelia; Gross, Leonard
7
2015
Some norms on universal enveloping algebras. Zbl 0908.17007
Gross, Leonard
7
1998
A noncommutative extension of the Perron-Frobenius theorem. Zbl 0213.14501
Gross, L.
7
1971
Strong hypercontractivity and relative subharmonicity. Zbl 1003.31003
Gross, Leonard
6
2002
Logarithmic Sobolev inequalities on Lie groups. Zbl 0761.46019
Gross, Leonard
6
1992
Surjectivity of the Taylor map for complex nilpotent Lie groups. Zbl 1158.22007
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
5
2009
A local Peter-Weyl theorem. Zbl 0933.22017
Gross, Leonard
5
2000
The homogeneous chaos over compact Lie groups. Zbl 0783.60010
Gross, Leonard
5
1993
Lattice gauge theory: Heuristics and convergence. Zbl 0579.60002
Gross, Leonard
5
1986
Analytic vectors for representations of the canonical commutation relations and nondegeneracy of ground states. Zbl 0285.47033
Gross, Leonard
5
1974
Harmonic analysis for the heat kernel measure on compact homogeneous spaces. Zbl 0828.43001
Gross, L.
4
1994
Logarithmic Sobolev inequalities for the heat kernel on a Lie group. Zbl 0817.60007
Gross, Leonard
4
1990
Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups. Zbl 1394.35532
Eldredge, Nathaniel; Gross, Leonard; Saloff-Coste, Laurent
3
2018
Heat kernel analysis on Lie groups. Zbl 0979.46052
Gross, L.
3
2001
Thermodynamics, statistical mechanics, and random fields. Zbl 0493.60099
Gross, Leonard
3
1982
Initial behavior of solutions to the Yang-Mills heat equation. Zbl 06790506
Charalambous, Nelia; Gross, Leonard
2
2017
Reverse hypercontractivity for subharmonic functions. Zbl 1160.58303
Gross, Leonard; Grothaus, Martin
2
2005
Holomorphic Dirichlet forms on complex manifolds. Zbl 1065.53057
Gross, Leonard; Qian, Zhongmin
2
2004
Hankel operators over complex manifolds. Zbl 1057.47034
Deck, Thomas; Gross, Leonard
2
2002
Reverse hypercontractivity over manifolds. Zbl 1021.58020
Galaz-Fontes, Fernando; Gross, Leonard; Sontz, Bruce
2
2001
The Maxwell equations for Yang-Mills theory. Zbl 0651.53023
Gross, Leonard
2
1988
Logarithmic Sobolev inequalities - A survey. Zbl 0387.46034
Gross, Leonard
2
1978
Growth of Taylor coefficients over complex homogeneous spaces. Zbl 1208.43002
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
1
2010
Irving Segal’s work on infinite dimensional integration theory. Zbl 1016.01020
Gross, Leonard
1
2002
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1
1999
Harmonic functions on loop groups. Zbl 0931.58020
Gross, Leonard
1
1998
Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups. Zbl 1394.35532
Eldredge, Nathaniel; Gross, Leonard; Saloff-Coste, Laurent
3
2018
Initial behavior of solutions to the Yang-Mills heat equation. Zbl 06790506
Charalambous, Nelia; Gross, Leonard
2
2017
Neumann domination for the Yang-Mills heat equation. Zbl 1321.81041
Charalambous, Nelia; Gross, Leonard
7
2015
The Yang-Mills heat semigroup on three-manifolds with boundary. Zbl 1279.58005
Charalambous, Nelia; Gross, Leonard
12
2013
Growth of Taylor coefficients over complex homogeneous spaces. Zbl 1208.43002
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
1
2010
Holomorphic functions and subelliptic heat kernels over Lie groups. Zbl 1193.32023
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
14
2009
Surjectivity of the Taylor map for complex nilpotent Lie groups. Zbl 1158.22007
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
5
2009
Reverse hypercontractivity for subharmonic functions. Zbl 1160.58303
Gross, Leonard; Grothaus, Martin
2
2005
Holomorphic Dirichlet forms on complex manifolds. Zbl 1065.53057
Gross, Leonard; Qian, Zhongmin
2
2004
Strong hypercontractivity and relative subharmonicity. Zbl 1003.31003
Gross, Leonard
6
2002
Hankel operators over complex manifolds. Zbl 1057.47034
Deck, Thomas; Gross, Leonard
2
2002
Irving Segal’s work on infinite dimensional integration theory. Zbl 1016.01020
Gross, Leonard
1
2002
Heat kernel analysis on Lie groups. Zbl 0979.46052
Gross, L.
3
2001
Reverse hypercontractivity over manifolds. Zbl 1021.58020
Galaz-Fontes, Fernando; Gross, Leonard; Sontz, Bruce
2
2001
A local Peter-Weyl theorem. Zbl 0933.22017
Gross, Leonard
5
2000
Hypercontractivity over complex manifolds. Zbl 0983.47026
Gross, Leonard
19
1999
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1
1999
Herbst inequalities for supercontractive semigroups. Zbl 0928.47032
Gross, Leonard; Rothaus, Oscar
15
1998
Some norms on universal enveloping algebras. Zbl 0908.17007
Gross, Leonard
7
1998
Harmonic functions on loop groups. Zbl 0931.58020
Gross, Leonard
1
1998
Hall’s transform and the Segal-Bargmann map. Zbl 0869.22006
Gross, Leonard; Malliavin, Paul
32
1996
Harmonic analysis for the heat kernel measure on compact homogeneous spaces. Zbl 0828.43001
Gross, L.
4
1994
Logarithmic Sobolev inequalities and contractivity properties of semigroups. Zbl 0812.47037
Gross, Leonard
102
1993
Uniqueness of ground states for Schrödinger operators over loop groups. Zbl 0774.60059
Gross, Leonard
35
1993
The homogeneous chaos over compact Lie groups. Zbl 0783.60010
Gross, Leonard
5
1993
Hypercontractivity: A bibliographic review. Zbl 0790.46055
Davies, E. Brian; Gross, Leonard; Simon, Barry
11
1992
Logarithmic Sobolev inequalities on Lie groups. Zbl 0761.46019
Gross, Leonard
6
1992
Logarithmic Sobolev inequalities on loop groups. Zbl 0742.22003
Gross, Leonard
38
1991
Logarithmic Sobolev inequalities for the heat kernel on a Lie group. Zbl 0817.60007
Gross, Leonard
4
1990
Two dimensional Yang-Mills theory via stochastic differential equations. Zbl 0698.60047
Gross, Leonard; King, Christopher; Sengupta, Ambar
31
1989
The Maxwell equations for Yang-Mills theory. Zbl 0651.53023
Gross, Leonard
2
1988
Lattice gauge theory: Heuristics and convergence. Zbl 0579.60002
Gross, Leonard
5
1986
A Poincaré lemma for connection forms. Zbl 0624.53021
Gross, Leonard
25
1985
Convergence of \(\text{U}(1)_ 3\) lattice gauge theory to its continuum limit. Zbl 0571.60011
Gross, Leonard
13
1983
Thermodynamics, statistical mechanics, and random fields. Zbl 0493.60099
Gross, Leonard
3
1982
Decay of correlations in classical lattice models at high temperature. Zbl 0442.60097
Gross, Leonard
26
1979
Logarithmic Sobolev inequalities - A survey. Zbl 0387.46034
Gross, Leonard
2
1978
On the formula of Mathews and Salam. Zbl 0414.47010
Gross, Leonard
18
1977
Logarithmic Sobolev inequalities. Zbl 0318.46049
Gross, Leonard
565
1976
Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form. Zbl 0359.46038
Gross, Leonard
42
1975
Analytic vectors for representations of the canonical commutation relations and nondegeneracy of ground states. Zbl 0285.47033
Gross, Leonard
5
1974
The relativistic polaron without cutoffs. Zbl 1125.81310
Gross, Leonard
15
1973
Existence and uniqueness of physical ground states. Zbl 0237.47012
Gross, Leonard
88
1972
A noncommutative extension of the Perron-Frobenius theorem. Zbl 0213.14501
Gross, L.
7
1971
Abstract Wiener measure and infinite dimensional potential theory. Zbl 0203.13002
Gross, L.
13
1970
Potential theory on Hilbert space. Zbl 0165.16403
Gross, L.
181
1967
Abstract Wiener spaces. Zbl 0187.40903
Gross, L.
72
1967
The Cauchy problem for the coupled Maxwell and Dirac equations. Zbl 0137.32401
Gross, L.
42
1966
Norm invariance of mass-zero equations under the conformal group. Zbl 0127.39306
Gross, L.
21
1964
Harmonic analysis on Hilbert space. Zbl 0118.32201
Gross, L.
35
1963
Measurable functions on Hilbert space. Zbl 0178.50001
Gross, L.
59
1962
Integration and nonlinear transformations in Hilbert space. Zbl 0090.33303
Gross, Leonard
31
1960
all top 5

Cited by 1,226 Authors

25 Albeverio, Sergio A.
24 Wang, Feng-Yu
22 Gross, Leonard
20 Dolbeault, Jean
20 Driver, Bruce K.
18 Zegarlinski, Boguslaw
17 Ledoux, Michel
16 Hall, Brian C.
15 Léandre, Rémi
13 Aida, Shigeki
13 Carlen, Eric Anders
13 Loss, Michael
13 Miyao, Tadahiro
12 Gentil, Ivan
12 Piech, M. Ann
12 Saloff-Coste, Laurent
11 Bobkov, Sergey Germanovich
11 Gordina, Maria
11 Roberto, Cyril
10 Gozlan, Nathael
10 Kuo, Hui-Hsiung
9 Cipriani, Fabio
9 Esteban, Maria J.
9 Ouerdiane, Habib
9 Sengupta, Ambar N.
8 Bakry, Dominique
8 Kemp, Todd A.
8 Kuelbs, James D.
8 Röckner, Michael
8 Stroock, Daniel W.
7 Grillo, Gabriele
7 Hiroshima, Fumio
7 Samson, Paul-Marie
7 Wang, Fengyu
6 Amour, Laurent
6 Arai, Asao
6 Barthe, Franck
6 Carmona, René A.
6 Chadam, John M.
6 Davies, Edward Brian
6 Fang, Shizan
6 Høegh-Krohn, Raphael J.
6 Menz, Georg
6 Nourrigat, Jean Francois
6 Palmer, John N.
6 Rothaus, Oscar S.
6 Saitô, Kimiaki
6 Volkov, Boris O.
6 Wu, Liming
5 Arnold, Anton
5 Bentkus, Vidmants-Kastytis
5 Bogachev, Vladimir Igorevich
5 Chafaï, Djalil
5 Charalambous, Nelia
5 Da Prato, Giuseppe
5 Elworthy, K. David
5 Fathi, Max
5 Frolov, N. N.
5 Horrigue, Samah
5 Jager, Lisette
5 Ji, Un Cig
5 Jørgensen, Palle E. T.
5 Maeda, Michie
5 Miclo, Laurent
5 Mitchell, Jeffrey J.
5 Obata, Nobuaki
5 Sontz, Stephen Bruce
5 Toscani, Giuseppe
5 Ustunel, Ali Suleyman
5 Villani, Cédric
4 Accardi, Luigi
4 Algharabli, Mohammad M.
4 Bao, Weizhu
4 Baudoin, Fabrice
4 Bonnefont, Michel
4 Ceccon, Jurandir
4 Del Pino, Manuel A.
4 Diaconis, Persi Warren
4 Feo, Filomena
4 Fisher, Michael J.
4 Gong, Fuzhou
4 Guillin, Arnaud
4 Holley, Richard A.
4 Jiang, Renjin
4 Kallianpur, Gopinath
4 Kondrat’yev, Yuriĭ Grygorovych
4 Kowalczyk, Michał
4 Kree, Paul
4 Lascar, Bernard
4 Lee, Yuh-Jia
4 Lee, Yuhjia
4 Lehec, Joseph
4 Li, Xue-Mei
4 Mao, Yonghua
4 Melcher, Tai
4 Messaoudi, Salim A.
4 Montenegro, Marcos
4 Nguyễn Văn Hoàng
4 Osswald, Horst
4 Otto, Felix
...and 1,126 more Authors
all top 5

Cited in 236 Serials

238 Journal of Functional Analysis
72 Communications in Mathematical Physics
53 Journal of Mathematical Physics
39 Journal of Mathematical Analysis and Applications
33 Probability Theory and Related Fields
32 Transactions of the American Mathematical Society
30 Infinite Dimensional Analysis, Quantum Probability and Related Topics
27 The Annals of Probability
27 Potential Analysis
22 Journal of Differential Equations
19 Journal of Statistical Physics
19 Proceedings of the American Mathematical Society
19 Stochastic Processes and their Applications
18 Reviews in Mathematical Physics
18 Advances in Mathematics
14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
13 Archive for Rational Mechanics and Analysis
13 Journal of Geometry and Physics
13 Stochastic Analysis and Applications
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Journal of Multivariate Analysis
11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 Mathematische Zeitschrift
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Journal of Mathematical Sciences (New York)
8 Israel Journal of Mathematics
8 Mathematical Notes
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Acta Applicandae Mathematicae
8 Calculus of Variations and Partial Differential Equations
8 Annales Henri Poincaré
7 Letters in Mathematical Physics
7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
7 Communications in Partial Differential Equations
7 Bulletin des Sciences Mathématiques
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Applicable Analysis
6 Applied Mathematics and Optimization
6 Inventiones Mathematicae
6 Nagoya Mathematical Journal
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Revista Matemática Iberoamericana
6 Journal of Theoretical Probability
5 Lithuanian Mathematical Journal
5 Rocky Mountain Journal of Mathematics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Mathematische Annalen
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Geometric and Functional Analysis. GAFA
5 Electronic Journal of Probability
5 Bernoulli
5 Acta Mathematica Sinica. English Series
5 Frontiers of Mathematics in China
4 Communications on Pure and Applied Mathematics
4 Journal of Computer and System Sciences
4 Journal of Soviet Mathematics
4 Proceedings of the Japan Academy. Series A
4 Chinese Annals of Mathematics. Series B
4 Applied Mathematics Letters
4 The Journal of Geometric Analysis
4 SIAM Journal on Mathematical Analysis
4 Bulletin of the American Mathematical Society. New Series
4 Annales Mathématiques Blaise Pascal
4 Discrete and Continuous Dynamical Systems
4 Mathematical Physics, Analysis and Geometry
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Communications on Pure and Applied Analysis
4 Stochastics
4 Bulletin of the American Mathematical Society
4 Bulletin de la Société Mathématique de France. Supplément. Mémoires
4 Science China. Mathematics
3 Journal of Computational Physics
3 Nuclear Physics. B
3 Ukrainian Mathematical Journal
3 Arkiv för Matematik
3 Compositio Mathematica
3 Duke Mathematical Journal
3 Illinois Journal of Mathematics
3 Journal of Approximation Theory
3 Memoirs of the American Mathematical Society
3 Siberian Mathematical Journal
3 Statistics & Probability Letters
3 Science in China. Series A
3 The Annals of Applied Probability
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Combinatorics, Probability and Computing
3 The Journal of Fourier Analysis and Applications
3 Journal of High Energy Physics
3 Journal of Evolution Equations
2 Computers & Mathematics with Applications
2 Journal d’Analyse Mathématique
2 Reports on Mathematical Physics
2 Transport Theory and Statistical Physics
2 Mathematics of Computation
2 Acta Mathematica
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
2 Archiv der Mathematik
2 Bulletin de la Société Mathématique de France
...and 136 more Serials
all top 5

Cited in 56 Fields

532 Probability theory and stochastic processes (60-XX)
317 Partial differential equations (35-XX)
295 Functional analysis (46-XX)
238 Operator theory (47-XX)
221 Quantum theory (81-XX)
189 Global analysis, analysis on manifolds (58-XX)
117 Statistical mechanics, structure of matter (82-XX)
116 Measure and integration (28-XX)
100 Real functions (26-XX)
79 Differential geometry (53-XX)
56 Topological groups, Lie groups (22-XX)
42 Abstract harmonic analysis (43-XX)
36 Information and communication theory, circuits (94-XX)
33 Potential theory (31-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
28 Dynamical systems and ergodic theory (37-XX)
22 Statistics (62-XX)
21 Several complex variables and analytic spaces (32-XX)
20 Numerical analysis (65-XX)
19 Difference and functional equations (39-XX)
18 Fluid mechanics (76-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 Convex and discrete geometry (52-XX)
13 Special functions (33-XX)
12 Biology and other natural sciences (92-XX)
11 Combinatorics (05-XX)
11 Computer science (68-XX)
11 Mechanics of particles and systems (70-XX)
10 Functions of a complex variable (30-XX)
10 Integral transforms, operational calculus (44-XX)
10 Integral equations (45-XX)
10 Optics, electromagnetic theory (78-XX)
10 Systems theory; control (93-XX)
9 Mechanics of deformable solids (74-XX)
9 Relativity and gravitational theory (83-XX)
8 Nonassociative rings and algebras (17-XX)
8 Ordinary differential equations (34-XX)
7 Approximations and expansions (41-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Manifolds and cell complexes (57-XX)
5 Mathematical logic and foundations (03-XX)
4 History and biography (01-XX)
4 Group theory and generalizations (20-XX)
4 General topology (54-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Algebraic topology (55-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Associative rings and algebras (16-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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