Leonard Gross

Q: What Schools Are Affiliated With Leonard Gross

Leonard Gross is affiliated with the following schools: University of Chicago, Cornell University

Leonard Gross's AcademicInfluence.com Rankings

Leonard Gross

Mathematics

#2066

World Rank

#3247

Historical Rank

#826

USA Rank

Measure Theory

#2108

World Rank

#2550

Historical Rank

#612

USA Rank

mathematics Degrees

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Mathematics

Why Is Leonard Gross Influential?

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According to Wikipedia, Leonard Gross is an American mathematician and Professor Emeritus of Mathematics at Cornell University. Gross has made fundamental contributions to mathematics and the mathematically rigorous study of quantum field theory.

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Leonard Gross's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

LOGARITHMIC SOBOLEV INEQUALITIES. (1975) (907)
Abstract Wiener spaces (1967) (516)
Potential theory on Hilbert space (1967) (377)
Logarithmic Sobolev inequalities and contractivity properties of semigroups (1993) (295)
Existence and uniqueness of physical ground states (1972) (199)
MEASURABLE FUNCTIONS ON HILBERT SPACE (1962) (139)
Hypercontractivity and logarithmic Sobolev inequalities for the Clifford-Dirichlet form (1975) (98)
Hall’s transform and the Segal-Bargmann map (1996) (89)
Logarithmic Sobolev inequalities on loop groups (1991) (89)
Uniqueness of ground states for Schrödinger operators over loop groups (1993) (86)
Two dimensional Yang-Mills theory via stochastic differential equations (1989) (85)
Decay of correlations in classical lattice models at high temperature (1979) (81)
Norm Invariance of Mass‐Zero Equations under the Conformal Group (1964) (79)
A Poincaré lemma for connection forms (1985) (75)
Integration and non-linear transformations in Hilbert space (1960) (64)
Harmonic analysis on Hilbert space (1963) (60)
The cauchy problem for the coupled maxwell and dirac equations (2010) (57)
Abstract wiener measure and infinite dimensional potential theory (1970) (48)
Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys (2006) (40)
Herbst inequalities for supercontractive semigroups (1998) (37)
Hypercontractivity over complex manifolds (1999) (36)
Convergence of U(1)3 lattice gauge theory to its continuum limit (1983) (36)
The relativistic polaron without cutoffs (1973) (36)
On the formula of Mathews and Salam (1977) (33)
Holomorphic functions and subelliptic heat kernels over Lie groups (2009) (32)
Logarithmic Sobolev inequalities on Lie groups (1992) (28)
The Yang-Mills Heat Semigroup on Three-Manifolds with Boundary (2010) (28)
Absence of second-order phase transitions in the Dobrushin uniqueness region (1981) (23)
The Great Wall Street Scandal (1974) (16)
Neumann domination for the Yang-Mills heat equation (2014) (14)
The Homogeneous Chaos over Compact Lie Groups (1993) (14)
Maximum Performance (1978) (11)
Analytic vectors for representations of the canonical commutation relations and nondegeneracy of ground states (1974) (10)
Logarithmic sobolev inequalities — A survey (1978) (9)
Strong Hypercontractivity and Relative Subharmonicity (2002) (9)
Some Norms on Universal Enveloping Algebras (1998) (9)
Reverse hypercontractivity over manifolds (2001) (8)
Analysis on Loop Groups (1994) (8)
Initial behavior of solutions to the Yang-Mills heat equation (2016) (7)
Surjectivity of the Taylor map for complex nilpotent Lie groups (2009) (7)
The Yang-Mills Heat Semigroup on Three-Manifolds with Boundary (2012) (7)
A local Peter-Weyl theorem (1999) (7)
Thermodynamics, statistical mechanics and random fields (1982) (7)
Heat Kernel Analysis on Lie Groups (2001) (7)
Hankel operators over complex manifolds (2002) (6)
The Yang-Mills heat equation with finite action in three dimensions (2016) (6)
Harmonic functions on loop groups (1998) (5)
Stability of the Yang-Mills heat equation for finite action (2017) (5)
Holomorphic Dirichlet forms on complex manifolds (2004) (4)
Reverse Hypercontractivity for Subharmonic Functions (2005) (4)
Total fitness in 30 minutes a week (1975) (3)
Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups (2015) (3)
Irving Segal's Work on Infinite Dimensional Integration Theory (2002) (3)
GROWTH OF TAYLOR COEFFICIENTS OVER COMPLEX HOMOGENEOUS SPACES (2010) (2)
Moving beyond success... (2001) (2)
Remembering Paul Malliavin (2011) (2)
The mathematical ramifications of Wiener's program in statistical physics (1997) (1)
Thermodynamics, statistical mechanics and random fields : Lectures given at the St. Flour Summer School in Probability (1980) (1)
WIENER SPACES (2005) (1)
Equivalence of helicity and Euclidean self-duality for gauge fields (2018) (1)
Why I am a Mennonite (1988) (1)
Absence of Second-Order Phase Dobrushin Uniqueness Region (1981) (1)
30 years of moving individual atoms (2020) (1)
MATH 713 FALL 2006 LECTURE NOTES ON FUNCTIONAL ANALYSIS (2006) (0)
WESTERN RELIGIOUS HISTORY (1983) (0)
God and Freud (1959) (0)
How Much Is Too Much (1983) (0)
Abstracts of the workshop on statistical mechanics, dynamical systems, and turbulence (1983) (0)
Hypercontractivity for local states of the quantized electromagnetic field. (2017) (0)
Kondisi fit total dalam 30 menit seminggu (1980) (0)
Heat kernel measures and Riemannian geometry on infinite-dimensional groups (2005) (0)
Mathematical Physics at Saint-Flour (2012) (0)
Comments by Leo Gross (1971) (0)
Organizing Corporate and Other Business Enterprises (2019) (0)
Finite and infinite dimensional analysis in honor of Leonard Gross : AMS Special Session, Analysis on Infinite Dimensional Spaces, January 12-13, 2001, New Orleans, Louisiana (2003) (0)
Leonard Gross interview January 17, 2002 (2002) (0)
MATH 713 SPRING 2012 LECTURE NOTES ON FUNCTIONAL ANALYSIS (2008) (0)

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Other Resources About Leonard Gross

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What Schools Are Affiliated With Leonard Gross?

Leonard Gross is affiliated with the following schools: