## Dimock, Jonathan

Compute Distance To:
 Author ID: dimock.jonathan Published as: Dimock, J.; Dimock, Jonathan
 Documents Indexed: 53 Publications since 1973, including 1 Book Co-Authors: 5 Co-Authors with 16 Joint Publications 207 Co-Co-Authors

### Co-Authors

 37 single-authored 9 Hurd, Thomas R. 5 Brydges, David C. 5 Kay, Bernard S. 1 Glimm, James G. 1 Rajeev, Sarada G.
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### Serials

 10 Journal of Mathematical Physics 6 Communications in Mathematical Physics 5 Reviews in Mathematical Physics 4 Annales Henri Poincaré 3 Journal of Statistical Physics 3 Letters in Mathematical Physics 2 Classical and Quantum Gravity 2 Annals of Physics 2 Journal of Physics A: Mathematical and General 2 Annales de l’Institut Henri Poincaré. Physique Théorique 1 General Relativity and Gravitation 1 Advances in Mathematics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Canadian Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
all top 5

### Fields

 44 Quantum theory (81-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Partial differential equations (35-XX) 10 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 476 times in 310 Documents Cited by Year
Algebras of local observables on a manifold. Zbl 0455.58030
Dimock, J.
1980
Dirac quantum fields on a manifold. Zbl 0518.58018
Dimock, J.
1982
Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. I. Zbl 0628.53080
Dimock, J.; Kay, Bernard S.
1987
Quantized electromagnetic field on a manifold. Zbl 0760.53049
Dimock, J.
1992
Scattering for the wave equation on the Schwarzschild metric. Zbl 0618.35088
Dimock, J.
1985
Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. II. Zbl 0608.53065
Dimock, J.; Kay, Bernard S.
1986
The renormalization group according to Balaban, I. Small fields. Zbl 1275.81068
Dimock, J.
2013
Measures on Schwartz distribution space and applications to $$P(\varphi)_2$$ field theories. Zbl 0313.28015
Dimock, Jonathan; Glimm, James
1974
A non-Gaussian fixed point for $$\phi^4$$ in $$4-\epsilon$$ dimensions. Zbl 0924.46062
Brydges, D.; Dimock, J.; Hurd, T. R.
1998
Multi-particle Schrödinger operators with point interactions in the plane. Zbl 1067.81024
Dimock, J.; Rajeev, S. G.
2004
The short distance behavior of $$(\Phi^ 4_ 3)$$. Zbl 0858.60095
Brydges, D.; Dimock, J.; Hurd, T. R.
1995
A renormalization group analysis of correlation functions for the dipole gas. Zbl 0925.82083
Dimock, J.; Hurd, T. R.
1992
Quantum mechanics and quantum field theory. A mathematical primer. Zbl 1218.81001
Dimock, Jonathan
2011
Sine-Gordon revisited. Zbl 1002.81035
Dimock, J.; Hurd, T. R.
2000
A renormalization group analysis of the Kosterlitz-Thouless phase. Zbl 0732.46041
Dimock, J.; Hurd, T. R.
1991
The renormalization group according to Balaban. II: Large fields. Zbl 1284.81217
Dimock, J.
2013
The renormalization group according to Balaban. III: Convergence. Zbl 1302.81139
Dimock, J.
2014
Markov quantum fields on a manifold. Zbl 1072.81046
Dimock, J.
2004
Infinite volume limit for the dipole gas. Zbl 1171.82306
Dimock, J.
2009
Scalar quantum field in an external gravitational field. Zbl 0455.35105
Dimock, J.
1979
Canonical quantization of Yang-Mills on a circle. Zbl 0856.58050
Dimock, J.
1996
Ultraviolet regularity for QED in d = 3. Zbl 1387.81373
Dimock, J.
2018
Classical wave operators and asymptotic quantum field operators on curved space-times. Zbl 0539.35063
Dimock, J.; Kay, Bernard S.
1982
Scattering for massive scalar fields on Coulomb potentials and Schwarzschild metrics. Zbl 0659.53054
Dimock, J.; Kay, Bernard S.
1986
Nonperturbative renormalization of scalar quantum electrodynamics in $$d=3$$. Zbl 1327.81290
Dimock, J.
2015
Scattering for massive scalar fields on Coulomb potentials and Schwarzschild metrics. Zbl 0591.35080
Dimock, J.; Kay, Bernard S.
1986
Scalar quantum field in an external gauge field. Zbl 0425.35075
Dimock, J.
1979
Locality in free string field theory. II. Zbl 1025.81041
Dimock, J.
2002
Covariant axial gauge. Zbl 1318.81047
Dimock, Jonathan
2015
The Kosterlitz-Thouless phase in a hierarchical model. Zbl 0709.60110
Dimock, J.
1990
Bosonization of massive fermions. Zbl 0926.46060
Dimock, J.
1998
Construction of the two-dimensional sine-Gordon model for $$\beta < 8\pi$$. Zbl 0815.35098
Dimock, J.; Hurd, T. R.
1993
Locality in free string field theory. Zbl 0978.81072
Dimock, J.
2000
Estimates on renormalization group transformations. Zbl 0914.60078
Brydges, D.; Dimock, J.; Hurd, T. R.
1998
$${\mathcal P}(\phi)_ 2$$ models with variable coefficients. Zbl 0539.35070
Dimock, J.
1984
Weak perturbations of Gaussian measures. Zbl 0812.60098
Brydges, D.; Dimock, J.; Hurd, T. R.
1994
Transition amplitudes and sewing properties for bosons on the Riemann sphere. Zbl 1144.81338
Dimock, J.
2007
A cluster expansion for stochastic lattice fields. Zbl 0714.60103
Dimock, J.
1990
Multiscale block averaging for QED in $$d=3$$. Zbl 1439.81075
Dimock, J.
2020
Local string field theory. Zbl 1221.81133
Dimock, J.
2005
(QED)$$_ 2$$ in the Coulomb gauge. Zbl 0584.58051
Dimock, J.
1985
Scattering on the Dirac magnetic monopole. Zbl 1462.81203
Dimock, J.
2021
Scattering on the Dirac magnetic monopole. Zbl 1462.81203
Dimock, J.
2021
Multiscale block averaging for QED in $$d=3$$. Zbl 1439.81075
Dimock, J.
2020
Ultraviolet regularity for QED in d = 3. Zbl 1387.81373
Dimock, J.
2018
Nonperturbative renormalization of scalar quantum electrodynamics in $$d=3$$. Zbl 1327.81290
Dimock, J.
2015
Covariant axial gauge. Zbl 1318.81047
Dimock, Jonathan
2015
The renormalization group according to Balaban. III: Convergence. Zbl 1302.81139
Dimock, J.
2014
The renormalization group according to Balaban, I. Small fields. Zbl 1275.81068
Dimock, J.
2013
The renormalization group according to Balaban. II: Large fields. Zbl 1284.81217
Dimock, J.
2013
Quantum mechanics and quantum field theory. A mathematical primer. Zbl 1218.81001
Dimock, Jonathan
2011
Infinite volume limit for the dipole gas. Zbl 1171.82306
Dimock, J.
2009
Transition amplitudes and sewing properties for bosons on the Riemann sphere. Zbl 1144.81338
Dimock, J.
2007
Local string field theory. Zbl 1221.81133
Dimock, J.
2005
Multi-particle Schrödinger operators with point interactions in the plane. Zbl 1067.81024
Dimock, J.; Rajeev, S. G.
2004
Markov quantum fields on a manifold. Zbl 1072.81046
Dimock, J.
2004
Locality in free string field theory. II. Zbl 1025.81041
Dimock, J.
2002
Sine-Gordon revisited. Zbl 1002.81035
Dimock, J.; Hurd, T. R.
2000
Locality in free string field theory. Zbl 0978.81072
Dimock, J.
2000
A non-Gaussian fixed point for $$\phi^4$$ in $$4-\epsilon$$ dimensions. Zbl 0924.46062
Brydges, D.; Dimock, J.; Hurd, T. R.
1998
Bosonization of massive fermions. Zbl 0926.46060
Dimock, J.
1998
Estimates on renormalization group transformations. Zbl 0914.60078
Brydges, D.; Dimock, J.; Hurd, T. R.
1998
Canonical quantization of Yang-Mills on a circle. Zbl 0856.58050
Dimock, J.
1996
The short distance behavior of $$(\Phi^ 4_ 3)$$. Zbl 0858.60095
Brydges, D.; Dimock, J.; Hurd, T. R.
1995
Weak perturbations of Gaussian measures. Zbl 0812.60098
Brydges, D.; Dimock, J.; Hurd, T. R.
1994
Construction of the two-dimensional sine-Gordon model for $$\beta < 8\pi$$. Zbl 0815.35098
Dimock, J.; Hurd, T. R.
1993
Quantized electromagnetic field on a manifold. Zbl 0760.53049
Dimock, J.
1992
A renormalization group analysis of correlation functions for the dipole gas. Zbl 0925.82083
Dimock, J.; Hurd, T. R.
1992
A renormalization group analysis of the Kosterlitz-Thouless phase. Zbl 0732.46041
Dimock, J.; Hurd, T. R.
1991
The Kosterlitz-Thouless phase in a hierarchical model. Zbl 0709.60110
Dimock, J.
1990
A cluster expansion for stochastic lattice fields. Zbl 0714.60103
Dimock, J.
1990
Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. I. Zbl 0628.53080
Dimock, J.; Kay, Bernard S.
1987
Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. II. Zbl 0608.53065
Dimock, J.; Kay, Bernard S.
1986
Scattering for massive scalar fields on Coulomb potentials and Schwarzschild metrics. Zbl 0659.53054
Dimock, J.; Kay, Bernard S.
1986
Scattering for massive scalar fields on Coulomb potentials and Schwarzschild metrics. Zbl 0591.35080
Dimock, J.; Kay, Bernard S.
1986
Scattering for the wave equation on the Schwarzschild metric. Zbl 0618.35088
Dimock, J.
1985
(QED)$$_ 2$$ in the Coulomb gauge. Zbl 0584.58051
Dimock, J.
1985
$${\mathcal P}(\phi)_ 2$$ models with variable coefficients. Zbl 0539.35070
Dimock, J.
1984
Dirac quantum fields on a manifold. Zbl 0518.58018
Dimock, J.
1982
Classical wave operators and asymptotic quantum field operators on curved space-times. Zbl 0539.35063
Dimock, J.; Kay, Bernard S.
1982
Algebras of local observables on a manifold. Zbl 0455.58030
Dimock, J.
1980
Scalar quantum field in an external gravitational field. Zbl 0455.35105
Dimock, J.
1979
Scalar quantum field in an external gauge field. Zbl 0425.35075
Dimock, J.
1979
Measures on Schwartz distribution space and applications to $$P(\varphi)_2$$ field theories. Zbl 0313.28015
Dimock, Jonathan; Glimm, James
1974
all top 5

### Cited by 280 Authors

 27 Dimock, Jonathan 17 Dappiaggi, Claudio 15 Verch, Rainer 7 Bachelot, Alain 7 Benini, Marco 7 Fewster, Christopher John 7 Fredenhagen, Klaus 7 Gérard, Christian 7 Kay, Bernard S. 7 Nicolas, Jean-Philippe 7 O’Carroll, Michael L. 7 Slade, Gordon 6 Brydges, David C. 6 Hack, Thomas-Paul 6 Murro, Simone 6 Pinamonti, Nicola 6 Sanders, Ko 5 Rejzner, Katarzyna 5 Vasselli, Ezio 5 Wrochna, Michał 4 Albeverio, Sergio A. 4 Bauerschmidt, Roland 4 Griesemer, Marcel 4 Häfner, Dietrich 4 Hollands, Stefan 4 Hurd, Thomas R. 4 Linden, Ulrich 4 Mitter, Pronob K. 4 Pereira, Emmanuel A. 4 Strohmaier, Alexander 4 Wollenberg, Manfred 4 Zahn, Jochen 4 Zegarlinski, Boguslaw 3 Abdesselam, Abdelmalek 3 Benfatto, Giuseppe 3 Dafermos, Mihalis 3 Earman, John 3 Falco, Pierluigi 3 Finster, Felix 3 Jaffe, Arthur Michael 3 Lechner, Gandalf 3 Mastropietro, Vieri 3 Moretti, Valter 3 Moser, Thomas 3 Neeb, Karl-Hermann 3 Ólafsson, Gestur 3 Ruzzi, Giuseppe 3 Schenkel, Alexander 3 Schroer, Bert 3 Seiringer, Robert 3 Shlapentokh-Rothman, Yakov 3 Thiemann, Thomas 3 Tumulka, Roderich 3 Wald, Robert M. 2 Bahns, Dorothea 2 Balaban, Tadeusz 2 Bannier, Ulrich 2 Blue, Pieter 2 Brunetti, Romeo 2 Deckert, Dirk-André 2 Drago, Nicolò 2 Faria da Veiga, Paulo A. 2 Figari, Rodolfo 2 Furlani, Edward P. 2 Goswami, Abhishek 2 Gottschalk, Hanno 2 Gubinelli, Massimiliano 2 Haag, Rudolf 2 Høegh-Krohn, Raphael J. 2 Hofacker, Michael 2 Jona-Lasinio, Giovanni 2 Joudioux, Jérémie 2 Landsman, Nicolaas P. 2 Lang, Benjamin 2 Liegener, Klaus 2 Lill, Sascha 2 Marchetti, Domingos H. U. 2 Merkl, Franz 2 Morfa-Morales, Eric 2 Mund, Jens 2 Procacci, Aldo 2 Prodan, Emil 2 Radzikowski, Marek J. 2 Ritter, William Gordon 2 Roberts, John Elias 2 Rodnianski, Igor 2 Schrader, Robert 2 Scoppola, Benedetto 2 Shen, Hao 2 Siemssen, Daniel 2 Stoskopf, Théo 2 Stottmeister, Alexander 2 Valente, Giovanni 2 Wren, K. K. 2 Zúñiga-Galindo, Wilson A. 1 Agnew, Alfonso F. 1 Alastuey, Angel 1 Angelopoulos, Yannis 1 Arai, Asao 1 Aretakis, Stefanos ...and 180 more Authors
all top 5

### Cited in 63 Serials

 76 Communications in Mathematical Physics 37 Journal of Mathematical Physics 26 Annales Henri Poincaré 18 Journal of Statistical Physics 17 Reviews in Mathematical Physics 16 Letters in Mathematical Physics 7 General Relativity and Gravitation 6 International Journal of Modern Physics A 6 Annals of Physics 6 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Classical and Quantum Gravity 5 Nuclear Physics. B 4 Journal of Hyperbolic Differential Equations 3 Physics Reports 3 Journal of Geometry and Physics 3 Journal of Functional Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mathematical Physics, Analysis and Geometry 3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 International Journal of Modern Physics B 2 Journal of Mathematical Analysis and Applications 2 Annales de l’Institut Fourier 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Transactions of the American Mathematical Society 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Probability Theory and Related Fields 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of High Energy Physics 2 International Journal of Geometric Methods in Modern Physics 2 Foundations of Physics 2 Annals of PDE 2 Probability and Mathematical Physics 1 International Journal of Theoretical Physics 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Advances in Mathematics 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Annals of Global Analysis and Geometry 1 The Annals of Applied Probability 1 Documenta Mathematica 1 Transformation Groups 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 International Studies in the Philosophy of Science 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Physical Review D. Series III 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Mathematical Physics 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Analysis and Mathematical Physics 1 Axioms
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### Cited in 39 Fields

 233 Quantum theory (81-XX) 104 Relativity and gravitational theory (83-XX) 69 Partial differential equations (35-XX) 62 Functional analysis (46-XX) 54 Statistical mechanics, structure of matter (82-XX) 38 Differential geometry (53-XX) 38 Global analysis, analysis on manifolds (58-XX) 32 Probability theory and stochastic processes (60-XX) 15 Operator theory (47-XX) 11 Mechanics of particles and systems (70-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 3 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)