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Author ID: spencer.thomas-c Recent zbMATH articles by "Spencer, Thomas C."
Published as: Spencer, Thomas; Spencer, T.; Spencer, Thomas C.
Homepage: https://www.ias.edu/scholars/spencer
External Links: MGP · Wikidata · IdRef · theses.fr
Documents Indexed: 43 Publications since 1975
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 24 Co-Authors with 28 Joint Publications
912 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 1,200 times in 905 Documents Cited by Year
Absence of diffusion in the Anderson tight binding model for large disorder or low energy. Zbl 0519.60066
Fröhlich, Jürg; Spencer, Thomas
261
1983
Constructive proof of localization in the Anderson tight binding model. Zbl 0573.60096
Fröhlich, J.; Martinelli, F.; Scoppola, E.; Spencer, T.
121
1985
Diffusion of directed polymers in a random environment. Zbl 1084.82595
Imbrie, J. Z.; Spencer, T.
83
1988
Localization for a class of one dimensional quasi-periodic Schrödinger operators. Zbl 0722.34070
Fröhlich, J.; Spencer, T.; Wittwer, P.
81
1990
Self-avoiding walk in 5 or more dimensions. Zbl 0575.60099
Brydges, David; Spencer, Thomas
76
1985
On homogenization and scaling limit of some gradient perturbations of a massless free field. Zbl 0871.35010
Naddaf, Ali; Spencer, Thomas
75
1997
The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy. Zbl 1110.82302
Fröhlich, Jürg; Spencer, Thomas
61
1982
Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials. Zbl 0745.34046
Sorets, Eugene; Spencer, Thomas
54
1991
Phase transitions for \(\phi_2^4\) quantum fields. Zbl 0956.82501
Glimm, James; Jaffe, Arthur; Spencer, Thomas
42
1975
Localization in disordered, nonlinear dynamical systems. Zbl 0629.60105
Fröhlich, Jürg; Spencer, Thomas; Wayne, C. Eugene
42
1986
Trace class perturbations and the absence of absolutely continuous spectra. Zbl 0684.47010
Simon, Barry; Spencer, Thomas
40
1989
Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model. Zbl 1203.82018
Disertori, M.; Spencer, T.; Zirnbauer, M. R.
37
2010
Localization for random and quasiperiodic potentials. Zbl 1086.82547
Spencer, Thomas
28
1988
Density of states for random band matrices. Zbl 1019.15014
Disertori, M.; Pinson, H.; Spencer, T.
27
2002
Anderson localization for a supersymmetric sigma model. Zbl 1203.82017
Disertori, M.; Spencer, T.
24
2010
Analyticity of the density of states and replica method for random Schrödinger operators on a lattice. Zbl 0591.60060
Constantinescu, F.; Fröhlich, J.; Spencer, T.
23
1984
Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions. Zbl 1102.81047
Spencer, T.; Zirnbauer, M. R.
16
2004
Strong convergence to the homogenized limit of elliptic equations with random coefficients. Zbl 1283.81102
Conlon, Joseph G.; Spencer, Thomas
12
2014
Random banded and sparse matrices. Zbl 1236.15074
Spencer, Thomas
12
2011
Positive Lyapunov exponents for a class of deterministic potentials. Zbl 0821.60070
Chulaevsky, Victor; Spencer, Thomas
11
1995
SUSY statistical mechanics and random band matrices. Zbl 1267.82070
Spencer, Thomas
11
2012
Periodic solutions of some infinite-dimensional Hamiltonian systems associated with nonlinear partial difference equations. II. Zbl 0699.35242
Albanese, Claudio; Fröhlich, Jürg; Spencer, Thomas
9
1988
A strong central limit theorem for a class of random surfaces. Zbl 1291.82019
Conlon, Joseph G.; Spencer, Thomas
9
2014
Ergodic Schrödinger operators. Zbl 0813.47046
Spencer, Thomas
8
1990
Correlation length bounds for disordered Ising ferromagnets. Zbl 0658.60137
Chayes, J. T.; Chayes, L.; Fisher, Daniel S.; Spencer, T.
6
1989
Fluctuation estimates for sub-quadratic gradient field actions. Zbl 1278.82057
Brydges, David; Spencer, Thomas
6
2012
The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
5
2020
The Schrödinger equation with a random potential. A mathematical review. Zbl 0655.60050
Spencer, Thomas C.
4
1986
SUSY statistical mechanics and random band matrices. Zbl 1291.82029
Spencer, Thomas
3
2012
Duality, statistical mechanics, and random matrices. Zbl 1292.82006
Spencer, Thomas
3
2013
Bounds on the Lyapunov exponent via crude estimates on the density of states. Zbl 1358.37065
Shamis, Mira; Spencer, Thomas
3
2015
Phase transitions in \(P(\varphi)_2\) quantum fields. Zbl 0367.60113
Glimm, J.; Jaffe, A.; Spencer, T.
3
1976
Some rigorous results for random and quasi-periodic potentials. Zbl 0667.60103
Spencer, Thomas
2
1986
Mathematical aspects of Anderson localization. Zbl 1228.82046
Spencer, Thomas
1
2010
Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. Zbl 1476.35233
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
1
2021
Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. Zbl 1476.35233
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
1
2021
The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas
5
2020
Bounds on the Lyapunov exponent via crude estimates on the density of states. Zbl 1358.37065
Shamis, Mira; Spencer, Thomas
3
2015
Strong convergence to the homogenized limit of elliptic equations with random coefficients. Zbl 1283.81102
Conlon, Joseph G.; Spencer, Thomas
12
2014
A strong central limit theorem for a class of random surfaces. Zbl 1291.82019
Conlon, Joseph G.; Spencer, Thomas
9
2014
Duality, statistical mechanics, and random matrices. Zbl 1292.82006
Spencer, Thomas
3
2013
SUSY statistical mechanics and random band matrices. Zbl 1267.82070
Spencer, Thomas
11
2012
Fluctuation estimates for sub-quadratic gradient field actions. Zbl 1278.82057
Brydges, David; Spencer, Thomas
6
2012
SUSY statistical mechanics and random band matrices. Zbl 1291.82029
Spencer, Thomas
3
2012
Random banded and sparse matrices. Zbl 1236.15074
Spencer, Thomas
12
2011
Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model. Zbl 1203.82018
Disertori, M.; Spencer, T.; Zirnbauer, M. R.
37
2010
Anderson localization for a supersymmetric sigma model. Zbl 1203.82017
Disertori, M.; Spencer, T.
24
2010
Mathematical aspects of Anderson localization. Zbl 1228.82046
Spencer, Thomas
1
2010
Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions. Zbl 1102.81047
Spencer, T.; Zirnbauer, M. R.
16
2004
Density of states for random band matrices. Zbl 1019.15014
Disertori, M.; Pinson, H.; Spencer, T.
27
2002
On homogenization and scaling limit of some gradient perturbations of a massless free field. Zbl 0871.35010
Naddaf, Ali; Spencer, Thomas
75
1997
Positive Lyapunov exponents for a class of deterministic potentials. Zbl 0821.60070
Chulaevsky, Victor; Spencer, Thomas
11
1995
Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials. Zbl 0745.34046
Sorets, Eugene; Spencer, Thomas
54
1991
Localization for a class of one dimensional quasi-periodic Schrödinger operators. Zbl 0722.34070
Fröhlich, J.; Spencer, T.; Wittwer, P.
81
1990
Ergodic Schrödinger operators. Zbl 0813.47046
Spencer, Thomas
8
1990
Trace class perturbations and the absence of absolutely continuous spectra. Zbl 0684.47010
Simon, Barry; Spencer, Thomas
40
1989
Correlation length bounds for disordered Ising ferromagnets. Zbl 0658.60137
Chayes, J. T.; Chayes, L.; Fisher, Daniel S.; Spencer, T.
6
1989
Diffusion of directed polymers in a random environment. Zbl 1084.82595
Imbrie, J. Z.; Spencer, T.
83
1988
Localization for random and quasiperiodic potentials. Zbl 1086.82547
Spencer, Thomas
28
1988
Periodic solutions of some infinite-dimensional Hamiltonian systems associated with nonlinear partial difference equations. II. Zbl 0699.35242
Albanese, Claudio; Fröhlich, Jürg; Spencer, Thomas
9
1988
Localization in disordered, nonlinear dynamical systems. Zbl 0629.60105
Fröhlich, Jürg; Spencer, Thomas; Wayne, C. Eugene
42
1986
The Schrödinger equation with a random potential. A mathematical review. Zbl 0655.60050
Spencer, Thomas C.
4
1986
Some rigorous results for random and quasi-periodic potentials. Zbl 0667.60103
Spencer, Thomas
2
1986
Constructive proof of localization in the Anderson tight binding model. Zbl 0573.60096
Fröhlich, J.; Martinelli, F.; Scoppola, E.; Spencer, T.
121
1985
Self-avoiding walk in 5 or more dimensions. Zbl 0575.60099
Brydges, David; Spencer, Thomas
76
1985
Analyticity of the density of states and replica method for random Schrödinger operators on a lattice. Zbl 0591.60060
Constantinescu, F.; Fröhlich, J.; Spencer, T.
23
1984
Absence of diffusion in the Anderson tight binding model for large disorder or low energy. Zbl 0519.60066
Fröhlich, Jürg; Spencer, Thomas
261
1983
The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy. Zbl 1110.82302
Fröhlich, Jürg; Spencer, Thomas
61
1982
Phase transitions in \(P(\varphi)_2\) quantum fields. Zbl 0367.60113
Glimm, J.; Jaffe, A.; Spencer, T.
3
1976
Phase transitions for \(\phi_2^4\) quantum fields. Zbl 0956.82501
Glimm, James; Jaffe, Arthur; Spencer, Thomas
42
1975
all top 5

Cited by 832 Authors

32 Klein, Abel
23 Chulaevsky, Victor
19 Jitomirskaya, Svetlana Yakovlevna
18 Slade, Gordon
18 Spencer, Thomas C.
17 Fröhlich, Jürg Martin
14 Simon, Barry
12 Erdős, László
12 van der Hofstad, Remco W.
12 Wang, Wei-Min
11 Bourgain, Jean
11 Otto, Felix
10 Hara, Takashi
10 Yau, Horng-Tzer
9 Damanik, David
9 Disertori, Margherita
9 Kozma, Gady
9 Mourrat, Jean-Christophe
8 Aizenman, Michael
8 Bauerschmidt, Roland
8 Bjerklöv, Kristian
8 Elgart, Alexander
8 Gloria, Antoine
8 Last, Yoram
8 Martinelli, Fabio
8 Molchanov, Stanislav Alekseevich
8 Sadel, Christian
8 Sakai, Akira
8 Shcherbina, Tatyana
8 van Enter, Aernout C. D.
8 You, Jiangong
8 Yuan, Xiaoping
7 Comets, Francis M.
7 Geng, Jiansheng
7 Germinet, François
7 Imbrie, John Z.
7 Jaffe, Arthur Michael
7 Lacoin, Hubert
7 Mastropietro, Vieri
7 Sabot, Christophe
7 Schlag, Wilhelm
7 Veselić, Ivan
6 Cassandro, Marzio
6 Conlon, Joseph G.
6 Constantinescu, Florin
6 Goldstein, Michael
6 Klopp, Frédéric
6 Knowles, Antti
6 Picco, Pierre
6 Schenker, Jeffrey H.
6 Sodin, Sasha
6 Tarrès, Pierre
5 Albanese, Claudio
5 Andres, Sebastian
5 Biskup, Marek
5 Chayes, Lincoln
5 De Roeck, Wojciech
5 Duminil-Copin, Hugo
5 Ekanga, Trésor
5 Endo, Eric Ossami
5 Helmuth, Tyler
5 Liu, Wencai
5 Merkl, Franz
5 Miller, Jason P.
5 Nakano, Fumihiko
5 Neukamm, Stefan
5 Niedermaier, Max R.
5 Puig, Joaquim
5 Rolles, Silke W. W.
5 Shcherbina, Mariya
5 Sheffield, Scott
5 Shi, Yunfeng
5 Stolz, Gunter
5 Tautenhahn, Martin
5 Ueki, Naomasa
5 Warzel, Simone
5 Zeng, Xiaolin
4 Armstrong, Scott N.
4 Berti, Massimiliano
4 Bolthausen, Erwin
4 Brydges, David C.
4 Campanino, Massimo
4 Chayes, Jennifer Tour
4 Combes, Jean-Michel
4 Cosco, Clément
4 Deuschel, Jean-Dominique
4 Exner, Pavel
4 Figotin, Alexander
4 Ge, Lingrui
4 Goldsheid, Ilya Ya.
4 Gordon, Alexander Ya.
4 Gu, Yu
4 Han, Rui
4 Heydenreich, Markus
4 Huveneers, François
4 Johnson, Russell Allan
4 Le Ny, Arnaud
4 Magnen, Jacques
4 Merola, Immacolata
4 Newman, Charles Michael
...and 732 more Authors
all top 5

Cited in 157 Serials

185 Communications in Mathematical Physics
126 Journal of Statistical Physics
43 Journal of Mathematical Physics
34 Journal of Functional Analysis
31 Probability Theory and Related Fields
29 The Annals of Probability
25 Annales Henri Poincaré
18 Reviews in Mathematical Physics
13 Electronic Journal of Probability
13 Mathematical Physics, Analysis and Geometry
12 Stochastic Processes and their Applications
12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
11 Journal of Spectral Theory
10 Journal of the European Mathematical Society (JEMS)
9 Duke Mathematical Journal
8 Communications on Pure and Applied Mathematics
8 Acta Mathematica
8 Inventiones Mathematicae
8 Journal of Differential Equations
8 Ergodic Theory and Dynamical Systems
7 Journal of Mathematical Analysis and Applications
7 Letters in Mathematical Physics
7 Bulletin of the American Mathematical Society. New Series
7 Annals of Mathematics. Second Series
6 Archive for Rational Mechanics and Analysis
5 Nuclear Physics. B
5 Journal of Theoretical Probability
5 Communications in Partial Differential Equations
5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Modern Physics Letters B
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Physica D
4 The Annals of Applied Probability
4 Geometric and Functional Analysis. GAFA
4 Journal of Dynamics and Differential Equations
4 Electronic Communications in Probability
4 Journal of High Energy Physics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Statistical Mechanics: Theory and Experiment
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Nonlinearity
3 Theoretical and Mathematical Physics
3 Advances in Mathematics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Functional Analysis and its Applications
3 Journal of Soviet Mathematics
3 Advances in Applied Mathematics
3 Acta Applicandae Mathematicae
3 Journal of the American Mathematical Society
3 Annals of Physics
3 Journal of Mathematical Sciences (New York)
3 Random Operators and Stochastic Equations
3 Journal of Difference Equations and Applications
3 Discrete and Continuous Dynamical Systems
3 Chaos
3 Physical Review Letters
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Frontiers of Mathematics in China
2 Applicable Analysis
2 Journal d’Analyse Mathématique
2 Physics Reports
2 Annales de l’Institut Fourier
2 Integral Equations and Operator Theory
2 Journal of Combinatorial Theory. Series A
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Calculus of Variations and Partial Differential Equations
2 Combinatorics, Probability and Computing
2 St. Petersburg Mathematical Journal
2 Regular and Chaotic Dynamics
2 Nonlinear Analysis. Real World Applications
2 Milan Journal of Mathematics
2 Oberwolfach Reports
2 Bulletin of the American Mathematical Society
2 Operators and Matrices
2 Advances in Mathematical Physics
2 Science China. Mathematics
2 Random Matrices: Theory and Applications
2 Journal de l’École Polytechnique – Mathématiques
1 International Journal of Modern Physics A
1 International Journal of Modern Physics B
1 International Journal of Theoretical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Illinois Journal of Mathematics
...and 57 more Serials
all top 5

Cited in 47 Fields

498 Statistical mechanics, structure of matter (82-XX)
397 Probability theory and stochastic processes (60-XX)
224 Quantum theory (81-XX)
190 Partial differential equations (35-XX)
175 Operator theory (47-XX)
120 Dynamical systems and ergodic theory (37-XX)
73 Ordinary differential equations (34-XX)
47 Linear and multilinear algebra; matrix theory (15-XX)
36 Difference and functional equations (39-XX)
25 Combinatorics (05-XX)
19 Functional analysis (46-XX)
15 Global analysis, analysis on manifolds (58-XX)
13 Mechanics of particles and systems (70-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
10 Numerical analysis (65-XX)
10 Optics, electromagnetic theory (78-XX)
9 Measure and integration (28-XX)
8 Potential theory (31-XX)
7 Fluid mechanics (76-XX)
6 Real functions (26-XX)
6 Mechanics of deformable solids (74-XX)
5 Statistics (62-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Functions of a complex variable (30-XX)
4 Special functions (33-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Relativity and gravitational theory (83-XX)
2 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Sequences, series, summability (40-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Computer science (68-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Biology and other natural sciences (92-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Systems theory; control (93-XX)

Citations by Year

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