Thomas Spencer

Q: What Schools Are Affiliated With Thomas Spencer

Thomas Spencer is affiliated with the following schools: Rutgers University, Princeton University, Rockefeller University, Stanford University, New York University

Thomas Spencer 's AcademicInfluence.com Rankings

Thomas Spencer

Physics

#2393

World Rank

#3549

Historical Rank

#952

USA Rank

physics Degrees

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Physics

Thomas Spencer 's Degrees

Masters Physics Stanford University

Why Is Thomas Spencer Influential?

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According to Wikipedia, Thomas C. Spencer is an American mathematical physicist, known in particular for important contributions to constructive quantum field theory, statistical mechanics, and spectral theory of random operators. He is an emeritus faculty member at the Institute for Advanced Study.

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Thomas Spencer '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

Absence of diffusion in the Anderson tight binding model for large disorder or low energy (1983) (694)
Infrared bounds, phase transitions and continuous symmetry breaking (1976) (459)
The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas (1981) (382)
Constructive proof of localization in the Anderson tight binding model (1985) (325)
The random walk representation of classical spin systems and correlation inequalities (1982) (314)
Diffusion of directed polymers in a random environment (1988) (234)
The phase transition in the one-dimensional Ising Model with 1/r2 interaction energy (1982) (221)
Self-avoiding walk in 5 or more dimensions (1985) (209)
Localization for a class of one dimensional quasi-periodic Schrödinger operators (1990) (203)
The Wightman Axioms and Particle Structure in the (φ) 2 Quantum Field Model (1974) (188)
On homogenization and scaling limit of some gradient perturbations of a massless free field (1997) (159)
Massless phases and symmetry restoration in abelian gauge theories and spin systems (1982) (152)
Phase transitions for φ24 quantum fields (1975) (141)
The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions (1973) (140)
Localization in disordered, nonlinear dynamical systems (1986) (138)
On the decay of correlations inSO(n)-symmetric ferromagnets (1977) (135)
Positive Lyapunov exponents for Schrödinger operators with quasi-periodic potentials (1991) (121)
A convergent expansion about mean field theory: I. The expansion (1976) (108)
Quasi-Diffusion in a 3D Supersymmetric Hyperbolic Sigma Model (2009) (97)
Trace class perturbations and the absence of absolutely continuous spectra (1989) (90)
On the statistical mechanics of classical Coulomb and dipole gases (1981) (89)
Localization for random and quasiperiodic potentials (1988) (84)
Estimates On the Variance of Some Homogenization Problems (1998) (80)
The decay of the Bethe-Salpeter kernel inP(ϕ)2 quantum field models (1975) (76)
Density of States for Random Band Matrices (2001) (75)
The mass gap for theP(φ)2 quantum field model with a strong external field (1974) (65)
Scattering states and bound states in λ℘(φ)2 (1976) (65)
Kosterlitz-Thouless Transition in the Two-Dimensional Plane Rotator and Coulomb Gas (1981) (65)
Anderson Localization for a Supersymmetric Sigma Model (2009) (64)
Lattice systems with a continuous symmetry (1981) (58)
A convergent expansion about mean field theory: II. Convergence of the expansion (1976) (57)
Analyticity of the density of states and replica method for random schrödinger operators on a lattice (1984) (52)
The Ising model in a random magnetic field (1984) (49)
Correlation length bounds for disordered Ising ferromagnets (1989) (48)
A rigorous approach to Anderson localization (1984) (43)
SUSY Statistical Mechanics and Random Band Matrices (2012) (43)
Positive Lyapunov exponents for a class of deterministic potentials (1995) (42)
Phase Transitions and Continuous Symmetry Breaking (1976) (40)
Periodic solutions of some infinite-dimensional Hamiltonian systems associated with non-linear partial difference equations. II (1988) (39)
Spontaneous Symmetry Breaking of a Hyperbolic Sigma Model in Three Dimensions (2004) (38)
The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions: Part II. The Cluster Expansion (1985) (32)
Lattice systems with a continuous symmetry (1980) (32)
The absence of even bound states for λ(φ4)2 (1974) (25)
A mathematical approach to universality in two dimensions (2000) (25)
Lattice systems with a continuous symmetry (1981) (24)
A Strong Central Limit Theorem for a Class of Random Surfaces (2011) (24)
The Lipatov argument (1980) (18)
Phase Diagrams and Critical Properties of (Classical) Coulomb Systems (1981) (18)
On the statistical mechanics of surfaces (1982) (18)
Duality, statistical mechanics and random matrices (2012) (17)
The Berezinskii-Kosterlitz-Thouless Transition (Energy-Entropy Arguments and Renormalization in Defect Gases) (1983) (17)
Phase Transitions in Statistical Mechanics and Quantum Field Theory (1977) (17)
The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions: Part I. Physics of Quantum Field Models (1985) (15)
The Kosterlitz-Thouless transition (1982) (15)
Random banded and sparse matrices (2018) (15)
Perturbation of the P(φ)2 quantum field Hamiltonian (1973) (12)
The Nonlinear Schrödinger Equation on Z and R with Bounded Initial Data: Examples and Conjectures (2020) (12)
Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in Lp-based Sobolev spaces (2020) (12)
Anderson localization for large disorder or low energy (1984) (12)
Fluctuation estimates for sub-quadratic gradient field actions (2012) (11)
Phase transitions in ()₂ quantum fields (1976) (8)
MATHEMATICAL ASPECTS OF ANDERSON LOCALIZATION (2010) (8)
Mathematics -- Making Waves: Proceedings of the Nineteenth Biennial Conference of the Australian Association of Mathematics Teachers Inc. (2002) (7)
Some recent rigorous results in the theory of phase transitions and critical phenomena (1982) (7)
Bounds on the Lyapunov Exponent via Crude Estimates on the Density of States (2014) (6)
Ergodic Schrödinger Operators (1990) (6)
Quantum many-body systems (2012) (6)
Some rigorous results for random and quasi-periodic potentials (1986) (5)
An invariant torus for nearly integrable Hamiltonian systems with infinitely many degrees of freedom (1986) (5)
Continuous symmetry breaking along the Nishimori line (2021) (5)
Existence of Phase Transitions for phi**4 in Two-Dimensions Quantum Fields (1975) (4)
Phase transitions in $P\left( \phi \right)_2 $ quantum fields (1976) (4)
Self avoiding random walk and the renormalisation group (1985) (3)
On Homogenization and Scaling Limit of SomeGradient Perturbations of a Massless Free (1995) (2)
Existence of Phase Transitions for φ 2 4 Quantum Fields (1985) (2)
SUSY statistical mechanics and random band matrices Thomas Spencer (2012) (1)
Universality, Phase Transitions and Statistical Mechanics (2000) (1)
Mathematical theory of Anderson localisation (1984) (1)
Localization and Transport in Random Media (1993) (0)
JAMES GLIMM:MATHEMATICIAN,FRIEND,MENTOR (2010) (0)
Quantum Many Body Systems: Cetraro, Italy 2010 (2012) (0)
The Nonlinear Schrödinger Equation on Z and R with Bounded Initial Data: Examples and Conjectures (2020) (0)
Bounds on the Lyapunov Exponent via Crude Estimates on the Density of States (2015) (0)
An Asymptotic Perturbation Expansion for Multiphase \varphi _2^4 \cdot (1976) (0)
Chapter 1 SUSY Statistical Mechanics and Random Band Matrices (2011) (0)
Bounds on the critical exponents of disordered ferromagnetic models (2021) (0)

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What Schools Are Affiliated With Thomas Spencer ?

Thomas Spencer is affiliated with the following schools:

Thomas Spencer 's Academic­Influence.com Rankings