## Spencer, Thomas C.

Compute Distance To:
 Author ID: spencer.thomas-c Published as: Spencer, Thomas; Spencer, T.; Spencer, Thomas C. more...less 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
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### Co-Authors

 14 single-authored 9 Fröhlich, Jürg Martin 3 Disertori, Margherita 3 Jaffe, Arthur Michael 2 Brydges, David C. 2 Conlon, Joseph G. 2 Dodson, Benjamin G. 2 Glimm, James G. 2 Soffer, Avraham 2 Wayne, Clarence Eugene 2 Zirnbauer, Martin R. 1 Albanese, Claudio 1 Chayes, Jennifer Tour 1 Chayes, Lincoln 1 Chulaevsky, Victor 1 Constantinescu, Florin 1 Imbrie, John Z. 1 Martinelli, Fabio 1 Naddaf, Ali 1 Pfister, Charles-Edouard 1 Pinson, Haru T. 1 Scoppola, Elisabetta 1 Shamis, Mira 1 Sheffield, Scott 1 Simon, Barry 1 Sorets, Eugene 1 Wittwer, Peter
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### Serials

 18 Communications in Mathematical Physics 5 Journal of Statistical Physics 2 Journal of Mathematical Physics 1 International Journal of Modern Physics B 1 Physica A 1 Transactions of the American Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the American Mathematical Society 1 IAS/Park City Mathematics Series
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### Fields

 28 Statistical mechanics, structure of matter (82-XX) 19 Probability theory and stochastic processes (60-XX) 14 Quantum theory (81-XX) 10 Partial differential equations (35-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Operator theory (47-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX)

### 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
1983
Constructive proof of localization in the Anderson tight binding model. Zbl 0573.60096
Fröhlich, J.; Martinelli, F.; Scoppola, E.; Spencer, T.
1985
Diffusion of directed polymers in a random environment. Zbl 1084.82595
Imbrie, J. Z.; Spencer, T.
1988
Localization for a class of one dimensional quasi-periodic Schrödinger operators. Zbl 0722.34070
Fröhlich, J.; Spencer, T.; Wittwer, P.
1990
Self-avoiding walk in 5 or more dimensions. Zbl 0575.60099
Brydges, David; Spencer, Thomas
1985
On homogenization and scaling limit of some gradient perturbations of a massless free field. Zbl 0871.35010
1997
The phase transition in the one-dimensional Ising model with $$1/r^2$$ interaction energy. Zbl 1110.82302
Fröhlich, Jürg; Spencer, Thomas
1982
Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials. Zbl 0745.34046
Sorets, Eugene; Spencer, Thomas
1991
Phase transitions for $$\phi_2^4$$ quantum fields. Zbl 0956.82501
Glimm, James; Jaffe, Arthur; Spencer, Thomas
1975
Localization in disordered, nonlinear dynamical systems. Zbl 0629.60105
Fröhlich, Jürg; Spencer, Thomas; Wayne, C. Eugene
1986
Trace class perturbations and the absence of absolutely continuous spectra. Zbl 0684.47010
Simon, Barry; Spencer, Thomas
1989
Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model. Zbl 1203.82018
Disertori, M.; Spencer, T.; Zirnbauer, M. R.
2010
Localization for random and quasiperiodic potentials. Zbl 1086.82547
Spencer, Thomas
1988
Density of states for random band matrices. Zbl 1019.15014
Disertori, M.; Pinson, H.; Spencer, T.
2002
Anderson localization for a supersymmetric sigma model. Zbl 1203.82017
Disertori, M.; Spencer, T.
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.
1984
Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions. Zbl 1102.81047
Spencer, T.; Zirnbauer, M. R.
2004
Strong convergence to the homogenized limit of elliptic equations with random coefficients. Zbl 1283.81102
Conlon, Joseph G.; Spencer, Thomas
2014
Random banded and sparse matrices. Zbl 1236.15074
Spencer, Thomas
2011
Positive Lyapunov exponents for a class of deterministic potentials. Zbl 0821.60070
Chulaevsky, Victor; Spencer, Thomas
1995
SUSY statistical mechanics and random band matrices. Zbl 1267.82070
Spencer, Thomas
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
1988
A strong central limit theorem for a class of random surfaces. Zbl 1291.82019
Conlon, Joseph G.; Spencer, Thomas
2014
Ergodic Schrödinger operators. Zbl 0813.47046
Spencer, Thomas
1990
Correlation length bounds for disordered Ising ferromagnets. Zbl 0658.60137
Chayes, J. T.; Chayes, L.; Fisher, Daniel S.; Spencer, T.
1989
Brydges, David; Spencer, Thomas
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
2020
The Schrödinger equation with a random potential. A mathematical review. Zbl 0655.60050
Spencer, Thomas C.
1986
SUSY statistical mechanics and random band matrices. Zbl 1291.82029
Spencer, Thomas
2012
Duality, statistical mechanics, and random matrices. Zbl 1292.82006
Spencer, Thomas
2013
Bounds on the Lyapunov exponent via crude estimates on the density of states. Zbl 1358.37065
Shamis, Mira; Spencer, Thomas
2015
Phase transitions in $$P(\varphi)_2$$ quantum fields. Zbl 0367.60113
Glimm, J.; Jaffe, A.; Spencer, T.
1976
Some rigorous results for random and quasi-periodic potentials. Zbl 0667.60103
Spencer, Thomas
1986
Mathematical aspects of Anderson localization. Zbl 1228.82046
Spencer, Thomas
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
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
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
2020
Bounds on the Lyapunov exponent via crude estimates on the density of states. Zbl 1358.37065
Shamis, Mira; Spencer, Thomas
2015
Strong convergence to the homogenized limit of elliptic equations with random coefficients. Zbl 1283.81102
Conlon, Joseph G.; Spencer, Thomas
2014
A strong central limit theorem for a class of random surfaces. Zbl 1291.82019
Conlon, Joseph G.; Spencer, Thomas
2014
Duality, statistical mechanics, and random matrices. Zbl 1292.82006
Spencer, Thomas
2013
SUSY statistical mechanics and random band matrices. Zbl 1267.82070
Spencer, Thomas
2012
Brydges, David; Spencer, Thomas
2012
SUSY statistical mechanics and random band matrices. Zbl 1291.82029
Spencer, Thomas
2012
Random banded and sparse matrices. Zbl 1236.15074
Spencer, Thomas
2011
Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model. Zbl 1203.82018
Disertori, M.; Spencer, T.; Zirnbauer, M. R.
2010
Anderson localization for a supersymmetric sigma model. Zbl 1203.82017
Disertori, M.; Spencer, T.
2010
Mathematical aspects of Anderson localization. Zbl 1228.82046
Spencer, Thomas
2010
Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions. Zbl 1102.81047
Spencer, T.; Zirnbauer, M. R.
2004
Density of states for random band matrices. Zbl 1019.15014
Disertori, M.; Pinson, H.; Spencer, T.
2002
On homogenization and scaling limit of some gradient perturbations of a massless free field. Zbl 0871.35010
1997
Positive Lyapunov exponents for a class of deterministic potentials. Zbl 0821.60070
Chulaevsky, Victor; Spencer, Thomas
1995
Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials. Zbl 0745.34046
Sorets, Eugene; Spencer, Thomas
1991
Localization for a class of one dimensional quasi-periodic Schrödinger operators. Zbl 0722.34070
Fröhlich, J.; Spencer, T.; Wittwer, P.
1990
Ergodic Schrödinger operators. Zbl 0813.47046
Spencer, Thomas
1990
Trace class perturbations and the absence of absolutely continuous spectra. Zbl 0684.47010
Simon, Barry; Spencer, Thomas
1989
Correlation length bounds for disordered Ising ferromagnets. Zbl 0658.60137
Chayes, J. T.; Chayes, L.; Fisher, Daniel S.; Spencer, T.
1989
Diffusion of directed polymers in a random environment. Zbl 1084.82595
Imbrie, J. Z.; Spencer, T.
1988
Localization for random and quasiperiodic potentials. Zbl 1086.82547
Spencer, Thomas
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
1988
Localization in disordered, nonlinear dynamical systems. Zbl 0629.60105
Fröhlich, Jürg; Spencer, Thomas; Wayne, C. Eugene
1986
The Schrödinger equation with a random potential. A mathematical review. Zbl 0655.60050
Spencer, Thomas C.
1986
Some rigorous results for random and quasi-periodic potentials. Zbl 0667.60103
Spencer, Thomas
1986
Constructive proof of localization in the Anderson tight binding model. Zbl 0573.60096
Fröhlich, J.; Martinelli, F.; Scoppola, E.; Spencer, T.
1985
Self-avoiding walk in 5 or more dimensions. Zbl 0575.60099
Brydges, David; Spencer, Thomas
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.
1984
Absence of diffusion in the Anderson tight binding model for large disorder or low energy. Zbl 0519.60066
Fröhlich, Jürg; Spencer, Thomas
1983
The phase transition in the one-dimensional Ising model with $$1/r^2$$ interaction energy. Zbl 1110.82302
Fröhlich, Jürg; Spencer, Thomas
1982
Phase transitions in $$P(\varphi)_2$$ quantum fields. Zbl 0367.60113
Glimm, J.; Jaffe, A.; Spencer, T.
1976
Phase transitions for $$\phi_2^4$$ quantum fields. Zbl 0956.82501
Glimm, James; Jaffe, Arthur; Spencer, Thomas
1975
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### 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
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### 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
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### 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)

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