## Faris, William G.

Compute Distance To:
 Author ID: faris.william-g Published as: Faris, William G.; Faris, W. G.; Faris, William more...less
 Documents Indexed: 40 Publications since 1967, including 1 Book 1 Contribution as Editor Co-Authors: 7 Co-Authors with 11 Joint Publications 297 Co-Co-Authors
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### Co-Authors

 30 single-authored 2 Burton, Robert M. jun. 2 Maier, Robert S. 2 Simon, Barry 2 Tsay, Woody J. 1 Brydges, David C. 1 Buss, Samuel R. 1 Carlen, Eric Anders 1 Gross, Leonhard 1 Hook, Julian L. 1 Jona-Lasinio, Giovanni 1 Lavine, Richard B. 1 Lawler, Gregory Francis 1 Minlos, Robert Adol’fovich 1 Nelson, Joseph Edward 1 Villani, Cédric
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### Serials

 4 Journal of Mathematical Physics 3 Journal of Functional Analysis 3 Notices of the American Mathematical Society 2 Communications in Mathematical Physics 2 Journal of Statistical Physics 2 Duke Mathematical Journal 2 Moscow Mathematical Journal 1 Advances in Applied Probability 1 International Journal of Mathematical Education in Science and Technology 1 Rocky Mountain Journal of Mathematics 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Complex Systems 1 The Annals of Applied Probability 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Séminaire Lotharingien de Combinatoire 1 Markov Processes and Related Fields 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics 1 Mathematical Notes (Princeton) 1 Probability Surveys
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### Fields

 18 Probability theory and stochastic processes (60-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Quantum theory (81-XX) 10 Operator theory (47-XX) 9 Partial differential equations (35-XX) 6 Combinatorics (05-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 435 times in 392 Documents Cited by Year
Large fluctuations for a nonlinear heat equation with noise. Zbl 0496.60060
Faris, William G.; Jona-Lasinio, Giovanni
1982
Faris, William G.
1975
Weak Lebesgue spaces and quantum mechanical binding. Zbl 0329.46037
Faris, William G.
1976
Commutators and self-adjointness of Hamiltonian operators. Zbl 0287.47004
Faris, William G.; Lavine, Richard B.
1974
Invariant cones and uniqueness of the ground state for fermion systems. Zbl 0245.47041
Faris, William G.
1972
The product formula for semigroups defined by Friedrichs extensions. Zbl 0158.14802
Faris, W. G.
1967
Degenerate and non-degenerate ground states for Schrödinger operators. Zbl 0339.35033
Faris, William; Simon, Barry
1975
Combinatorics and cluster expansions. Zbl 1191.82009
Faris, William G.
2010
The Trotter product formula for perturbations of semibounded operators. Zbl 0149.35601
Faris, W. G.
1967
Essential self-adjointness of operators in ordered Hilbert space. Zbl 0251.47020
Faris, William G.
1973
Product formulas for perturbations of linear propagators. Zbl 0149.35503
Faris, W. G.
1967
The stochastic Heisenberg model. Zbl 0453.60099
Faris, William G.
1979
A localization principle for multiplicative perturbations. Zbl 0588.47016
Faris, William G.
1986
A quantum crystal with multidimensional anharmonic oscillators. Zbl 0958.82004
Faris, William G.; Minlos, Robert A.
1999
Localization estimates for off-diagonal disorder. Zbl 0734.35163
Faris, William G.
1991
The value of a random game: The advantage of rationality. Zbl 0654.90100
Faris, William G.; Maier, Robert S.
1987
Time decay and the Born series. Zbl 0232.47050
Faris, William G.
1971
A connected graph identity and convergence of cluster expansions. Zbl 1159.81319
Faris, William G.
2008
Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003
2006
Combinatorial species and Feynman diagrams. Zbl 1295.81073
Faris, William G.
2009
A self-organizing cluster process. Zbl 0870.60063
Burton, Robert M.; Faris, William G.
1996
Localization for a random discrete wave equation. Zbl 0656.35102
Faris, William G.
1987
Localization estimates for a random discrete wave equation at high frequency. Zbl 0687.60074
Faris, William G.
1987
Review of Roland Omnés, The interpretation of quantum mechanics. Zbl 1042.00503
Faris, William
1996
A gentle introduction to cluster expansions. Zbl 1094.60037
Faris, William G.
2005
Scattering of a wave packet by an interval of random medium. Zbl 0696.35127
Faris, William G.; Tsay, Woody J.
1989
The fundamental theorem of calculus for a matroid. Zbl 1277.05036
Faris, William G.
2012
The Rayleigh-Schrödinger expansion of the Gibbs state of a classical Heisenberg ferromagnet. Zbl 0464.60099
Faris, William G.
1980
Biconnected graphs and the multivariate virial expansion. Zbl 1272.82008
Faris, W. G.
2012
Rooted tree graphs and the Butcher group: combinatorics of elementary perturbation theory. Zbl 1446.82035
Faris, William G.
2019
Ornstein-Uhlenbeck and renormalization semigroups. Zbl 1022.81042
Faris, William G.
2001
Combinatorial species and cluster expansions. Zbl 1214.60047
Faris, William G.
2010
Outline of quantum mechanics. Zbl 1218.81002
Faris, William G.
2010
Time delay in random scattering. Zbl 0794.34074
Faris, William G.; Tsay, Woody J.
1994
Rooted tree graphs and the Butcher group: combinatorics of elementary perturbation theory. Zbl 1446.82035
Faris, William G.
2019
The fundamental theorem of calculus for a matroid. Zbl 1277.05036
Faris, William G.
2012
Biconnected graphs and the multivariate virial expansion. Zbl 1272.82008
Faris, W. G.
2012
Combinatorics and cluster expansions. Zbl 1191.82009
Faris, William G.
2010
Combinatorial species and cluster expansions. Zbl 1214.60047
Faris, William G.
2010
Outline of quantum mechanics. Zbl 1218.81002
Faris, William G.
2010
Combinatorial species and Feynman diagrams. Zbl 1295.81073
Faris, William G.
2009
A connected graph identity and convergence of cluster expansions. Zbl 1159.81319
Faris, William G.
2008
Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003
2006
A gentle introduction to cluster expansions. Zbl 1094.60037
Faris, William G.
2005
Ornstein-Uhlenbeck and renormalization semigroups. Zbl 1022.81042
Faris, William G.
2001
A quantum crystal with multidimensional anharmonic oscillators. Zbl 0958.82004
Faris, William G.; Minlos, Robert A.
1999
A self-organizing cluster process. Zbl 0870.60063
Burton, Robert M.; Faris, William G.
1996
Review of Roland Omnés, The interpretation of quantum mechanics. Zbl 1042.00503
Faris, William
1996
Time delay in random scattering. Zbl 0794.34074
Faris, William G.; Tsay, Woody J.
1994
Localization estimates for off-diagonal disorder. Zbl 0734.35163
Faris, William G.
1991
Scattering of a wave packet by an interval of random medium. Zbl 0696.35127
Faris, William G.; Tsay, Woody J.
1989
The value of a random game: The advantage of rationality. Zbl 0654.90100
Faris, William G.; Maier, Robert S.
1987
Localization for a random discrete wave equation. Zbl 0656.35102
Faris, William G.
1987
Localization estimates for a random discrete wave equation at high frequency. Zbl 0687.60074
Faris, William G.
1987
A localization principle for multiplicative perturbations. Zbl 0588.47016
Faris, William G.
1986
Large fluctuations for a nonlinear heat equation with noise. Zbl 0496.60060
Faris, William G.; Jona-Lasinio, Giovanni
1982
The Rayleigh-Schrödinger expansion of the Gibbs state of a classical Heisenberg ferromagnet. Zbl 0464.60099
Faris, William G.
1980
The stochastic Heisenberg model. Zbl 0453.60099
Faris, William G.
1979
Weak Lebesgue spaces and quantum mechanical binding. Zbl 0329.46037
Faris, William G.
1976
Faris, William G.
1975
Degenerate and non-degenerate ground states for Schrödinger operators. Zbl 0339.35033
Faris, William; Simon, Barry
1975
Commutators and self-adjointness of Hamiltonian operators. Zbl 0287.47004
Faris, William G.; Lavine, Richard B.
1974
Essential self-adjointness of operators in ordered Hilbert space. Zbl 0251.47020
Faris, William G.
1973
Invariant cones and uniqueness of the ground state for fermion systems. Zbl 0245.47041
Faris, William G.
1972
Time decay and the Born series. Zbl 0232.47050
Faris, William G.
1971
The product formula for semigroups defined by Friedrichs extensions. Zbl 0158.14802
Faris, W. G.
1967
The Trotter product formula for perturbations of semibounded operators. Zbl 0149.35601
Faris, W. G.
1967
Product formulas for perturbations of linear propagators. Zbl 0149.35503
Faris, W. G.
1967
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### Cited by 447 Authors

 15 Gesztesy, Fritz 13 Simon, Barry 12 Miyao, Tadahiro 9 Mitrea, Marius 7 Albeverio, Sergio A. 7 Sarfraz, Naqash 7 Zagrebnov, Valentin A. 6 Hussain, Amjad 6 Lu, Shanzhen 5 Brassesco, Stella 5 Faris, William G. 5 Fu, Zunwei 5 Klein, Abel 5 Vanden-Eijnden, Eric 5 Vuillermot, Pierre-A. 5 Wan, Xiaoliang 4 Hiroshima, Fumio 4 Högele, Michael Anton 4 Pasurek, Tatiana 4 Röckner, Michael 4 Salins, Michael 4 Tsagkarogiannis, Dimitrios K. 4 Vares, Maria Eulalia 4 Wreszinski, Walter F. 4 Wu, Qingyan 3 Ashbaugh, Mark S. 3 Bouchet, Freddy 3 Boutet de Monvel, Anne Marie 3 Carmona, René A. 3 Chernoff, Paul R. 3 Combes, Jean-Michel 3 Duong, Dao Van 3 Ichinose, Takashi 3 Jarad, Fahd 3 Karwowski, Witold 3 Kondrat’yev, Yuriĭ Grygorovych 3 Landau, Lawrence J. 3 Matte, Oliver 3 Neidhardt, Hagen 3 Nenciu, Gheorghe 3 Nguyen Minh Chuong 3 Perel’muter, Michael A. 3 Streit, Ludwig 3 Tachim Medjo, Theodore 3 Teschl, Gerald 3 Thomas, Lawrence E. 3 Weber, Hendrik 3 Wei, Mingquan 3 Yan, Dunyan 3 Zhao, Fayou 2 Abdesselam, Abdelmalek 2 Antoine, Jean-Pierre 2 Arai, Asao 2 Asim, Muhammad Ahsan 2 Bertini, Lorenzo Bertini 2 Birmpa, Panagiota 2 Budhiraja, Amarjit S. 2 Buttà, Paolo 2 Cerrai, Sandra 2 Chen, Jiecheng 2 De Masi, Anna 2 Dirr, Nicolas Peter 2 Duerinckx, Mitia 2 Dupuis, Paul G. 2 Enss, Volker 2 Exner, Pavel 2 Friedman, Charles N. 2 Funaki, Tadahisa 2 Gautier, Eric 2 Goldstein, Jerome Arthur 2 Hempel, Rainer 2 Herbst, Ira W. 2 Hislop, Peter D. 2 Høegh-Krohn, Raphael J. 2 Huang, Min-Jei 2 Hughes, Rhonda Jo 2 Jansen, Sabine C. 2 Jefferies, Brian R. F. 2 Jona-Lasinio, Giovanni 2 Jørgensen, Palle E. T. 2 Karali, Georgia D. 2 Khan, Ilyas 2 Kolyada, Viktor Ivanovich 2 Kühn, Christian 2 Lavine, Richard B. 2 Leugering, Günter 2 Manda, Dragos 2 Martinelli, Fabio 2 Mitter, Pronob K. 2 Møller, Jacob Schach 2 Nagase, Yuko 2 Nenciu, Irina 2 Nichols, Roger 2 Nickel, Lukas 2 Olivieri, Enzo 2 Pavlyukevich, Ilya 2 Perez, Joe J. 2 Posilicano, Andrea 2 Presutti, Errico 2 Purice, Radu ...and 347 more Authors
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### Cited in 134 Serials

 37 Journal of Functional Analysis 34 Communications in Mathematical Physics 25 Journal of Mathematical Physics 25 Journal of Statistical Physics 14 Journal of Mathematical Analysis and Applications 11 Annales de l’Institut Henri Poincaré. Physique Théorique 9 Stochastic Processes and their Applications 8 Letters in Mathematical Physics 8 Journal of Differential Equations 8 Probability Theory and Related Fields 7 Annales Henri Poincaré 6 Archive for Rational Mechanics and Analysis 6 Reports on Mathematical Physics 6 Reviews in Mathematical Physics 6 The Annals of Probability 6 Mathematische Zeitschrift 5 Integral Equations and Operator Theory 4 Communications on Pure and Applied Mathematics 4 Journal of Computational Physics 4 Advances in Mathematics 4 Journal of Inequalities and Applications 4 Frontiers of Mathematics in China 4 Journal of Function Spaces 3 Applicable Analysis 3 Transactions of the American Mathematical Society 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Mathematical Sciences (New York) 3 Acta Mathematica Sinica. English Series 3 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Journal d’Analyse Mathématique 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 Semigroup Forum 2 Transactions of the Moscow Mathematical Society 2 Stochastic Analysis and Applications 2 The Annals of Applied Probability 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Stochastics and Stochastics Reports 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Physics, Analysis and Geometry 2 Journal of Evolution Equations 2 Stochastics and Dynamics 2 Kyoto Journal of Mathematics 2 Bulletin of Mathematical Sciences 1 International Journal of Modern Physics B 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Stochastics 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Aplikace Matematiky 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal of Game Theory 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Kodai Mathematical Journal 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Physica D 1 Computers & Operations Research 1 Journal of Theoretical Probability 1 Sugaku Expositions 1 Games and Economic Behavior 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chinese Science Bulletin 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 St. Petersburg Mathematical Journal 1 Opuscula Mathematica 1 Integral Transforms and Special Functions 1 Annals of Mathematics and Artificial Intelligence 1 European Mathematical Society Newsletter 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Matematychni Studiï 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics ...and 34 more Serials
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### Cited in 46 Fields

 148 Operator theory (47-XX) 134 Partial differential equations (35-XX) 123 Probability theory and stochastic processes (60-XX) 99 Quantum theory (81-XX) 69 Statistical mechanics, structure of matter (82-XX) 38 Functional analysis (46-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 18 Ordinary differential equations (34-XX) 18 Numerical analysis (65-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Real functions (26-XX) 12 Fluid mechanics (76-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Combinatorics (05-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Measure and integration (28-XX) 6 Systems theory; control (93-XX) 5 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Differential geometry (53-XX) 4 Statistics (62-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)