David Brydges
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Mathematical physicist
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David Brydgesmathematics Degrees
Mathematics
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#4936
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Mathematical Physics
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#25
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Measure Theory
#3200
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#3788
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Mathematics Physics
Why Is David Brydges Influential?
(Suggest an Edit or Addition)According to Wikipedia, David Chandos Brydges is a mathematical physicist. Brydges received in 1976 his Ph.D. from the University of Michigan with thesis advisor Paul Federbush and thesis A Linear Lower Bound for Generalized Yukawa Model Field Theories. Brydges was a professor at the University of Virginia and is now a professor emeritus at the University of British Columbia in Vancouver.
David Brydges'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
- The random walk representation of classical spin systems and correlation inequalities (1982) (314)
- Self-avoiding walk in 5 or more dimensions (1985) (209)
- Mayer expansions and the Hamilton-Jacobi equation (1987) (168)
- Grad ø perturbations of massless Gaussian fields (1990) (124)
- Coulomb Systems at Low Density: A Review (1999) (124)
- A new form of the Mayer expansion in classical statistical mechanics (1978) (116)
- A new proof of the existence and nontriviality of the continuum ϕ24 and ϕ34 quantum field theories (1983) (114)
- On the construction of quantized gauge fields. I. General results (1979) (109)
- A rigorous approach to Debye screening in dilute classical coulomb systems (1978) (105)
- Branched polymers and dimensional reduction (2001) (89)
- On the construction of quantized gauge fields (1981) (76)
- Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis (2014) (71)
- Self-Avoiding Walk on a Hierarchical Lattice in Four Dimensions (1992) (65)
- Critical Two-Point Function of the 4-Dimensional Weakly Self-Avoiding Walk (2014) (63)
- Scaling Limits and Critical Behaviour of the 4-Dimensional n-Component |φ|4 Spin Model (2014) (60)
- A Renormalisation Group Method. I. Gaussian Integration and Normed Algebras (2014) (55)
- The diffusive phase of a model of self-interacting walks (1995) (54)
- Functional integral representations for self-avoiding walk ∗ (2009) (52)
- The mass gap for Higgs models on a unit lattice (1984) (52)
- A Renormalisation Group Method. V. A Single Renormalisation Group Step (2014) (52)
- The short distance behavior of (φ4)3 (1995) (51)
- A Renormalisation Group Method. II. Approximation by Local Polynomials (2014) (50)
- The random-walk representation of classical spin systems and correlation inequalities (1983) (50)
- A Renormalisation Group Method. III. Perturbative Analysis (2014) (50)
- Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation (1996) (48)
- Lectures on the Renormalisation Group (2015) (46)
- Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions (2002) (43)
- Introduction to a Renormalisation Group Method (2019) (42)
- Debye screening (1980) (41)
- A Renormalisation Group Method. IV. Stability Analysis (2014) (41)
- Diamagnetic and critical properties of Higgs lattice gauge theories (1979) (39)
- Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher (2010) (39)
- Scaling Limits and Critical Behaviour of the $$4$$4-Dimensional $$n$$n-Component $$|\varphi |^4$$|φ|4 Spin Model (2014) (35)
- A Non-Gaussian Fixed Point for φ4 in 4−ε Dimensions (1998) (34)
- Construction of quantised gauge fields (1980) (33)
- Structural Stability of a Dynamical System Near a Non-Hyperbolic Fixed Point (2012) (33)
- Dimensional Reduction Formulas for Branched Polymer Correlation Functions (2002) (33)
- End-to-End Distance from the Green's Function for a Hierarchical Self-Avoiding Walk in Four Dimensions (2002) (31)
- Absence of screening in certain lattice gauge and plasma models (1986) (29)
- A lower bound for the mass of a random Gaussian lattice (1978) (28)
- Critical (Φ4)3,ε (2003) (28)
- The cluster expansion in statistical mechanics (1976) (27)
- Estimates on Renormalization Group Transformations (1998) (23)
- CRITICAL (Phi^{4}_{3,\epsilon}) (2002) (21)
- Application of a 3-CCD color camera for colorimetric and densitometric measurements (1998) (20)
- Finite range decompositions of positive-definite functions (2006) (19)
- Finite Range Decomposition of Gaussian Processes (2003) (18)
- The cluster expansion for potentials with exponential fall-off (1977) (17)
- An application of berezin integration to large deviations (1991) (16)
- Correlation functions of general observables in dipole-type systems. I: Accurate upper bounds (1994) (14)
- Localization and decay of correlations for a pinned lattice free field in dimension two (2001) (14)
- The Continuous‐Time Lace Expansion (2019) (13)
- CRITICAL (Φ 4)3, ǫ (2002) (13)
- Weak perturbations of Gaussian measures (1994) (13)
- Debye Screening in Classical Coulomb Systems (1981) (13)
- A semi‐Euclidean approach to boson‐fermion model theories (1974) (13)
- Boundedness below for fermion model theories. I (1975) (12)
- Weak perturbations of the massless Gaussian measure (1995) (11)
- The strong interaction limit of continuous-time weakly self-avoiding walk (2011) (11)
- Fluctuation estimates for sub-quadratic gradient field actions (2012) (11)
- Functional Integrals and their Applications (1993) (11)
- Logarithmic Correction for the Susceptibility of the 4-Dimensional Weakly Self-Avoiding Walk: A Renormalisation Group Analysis (2015) (8)
- Boundedness below for fermion model theories. Part II. The linear lower bound (1976) (8)
- Gaussian Fields (2019) (7)
- On the Convergence to the Continuum of Finite Range Lattice Covariances (2011) (7)
- Applications of the renormalization group (1994) (7)
- Survey of exact results in low density Coulomb systems (2000) (7)
- Note on Legendre transform and line-irreducible graphs (6)
- Erratum: Mayer Expansions and the Hamiltonian–Jacobi Equation. II. Fermions, Dimensional Reduction Formulas (1999) (6)
- The Renormalization Group and Self-avoiding Walk (2015) (6)
- Cluster expansions for fermion fields by the time dependent Hamiltonian approach (1976) (6)
- Spin Systems (2018) (5)
- Absence of Debye screening in the quantum Coulomb system (1994) (5)
- On the Virial Series for a Gas of Particles with Uniformly Repulsive Pairwise Interaction (2014) (5)
- Convergence of Mayer expansions (1986) (5)
- Quantum field theory. (1981) (5)
- A note on energy bounds for boson matter (1976) (4)
- Random Walks, Random Fields, and Disordered Systems (2015) (4)
- Self avoiding random walk and the renormalisation group (1985) (3)
- Critical Two-Point Function of the 4-Dimensional Weakly Self-Avoiding Walk (2015) (3)
- Surface representations of Wilson loop expectations in lattice gauge theory (1986) (2)
- CRAMER ’ S RULE AND LOOP ENSEMBLES (2006) (2)
- Debye screening in classical statistical mechanics (1980) (2)
- A Renormalisation Group Method. V. A Single Renormalisation Group Step (2015) (2)
- Renormalisation group analysis of 4D spin models and self-avoiding walk (2016) (2)
- The use of random walk in field theory (1984) (2)
- Self-Avoiding Walk and Supersymmetry (2019) (1)
- PR ] 4 J un 2 00 9 Functional integral representations for self-avoiding walk (2009) (1)
- N ov 2 01 4 A renormalisation group method . IV . Stability analysis (2014) (1)
- Expansions in Statistical Mechanics as Part of the Theory of Partial Differential Equations (1987) (1)
- The Renormalisation Group Map (2019) (1)
- A collapse transition for self-attracting walks (1994) (1)
- STATISTICAL MECHANICS AND THE RENORMALISATION GROUP LECTURE NOTES FOR THE 2009 SUMMER SCHOOL IN PROBABILITY (2010) (1)
- David Brydges Interview October 6, 1982 (1982) (0)
- Structural Stability of a Dynamical System Near a Non-Hyperbolic Fixed Point (2014) (0)
- N ov 2 01 4 A renormalisation group method . III . Perturbative analysis (2021) (0)
- PR ] 1 7 N ov 2 00 6 JOINT DENSITY FOR THE LOCAL TIMES OF CONTINUOUS-TIME MARKOV CHAINS By (2006) (0)
- Mathematisches Forschungsinstitut Oberwolfach Report No . 17 / 2006 The Rigorous Renormalization Group Organised (2007) (0)
- Finite-Range Decomposition (2019) (0)
- A Renormalisation Group Method. II. Approximation by Local Polynomials (2015) (0)
- PR ] 7 N ov 2 00 5 JOINT DENSITY FOR THE LOCAL TIMES OF CONTINUOUS-TIME MARKOV CHAINS (2005) (0)
- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk (2006) (0)
- 05w5025 Critical Scaling for Polymers and Percolation (0)
- Appendix B: Solutions to Exercises (2019) (0)
- 0 30 30 13 v 1 5 M ar 2 00 3 Finite range Decomposition of Gaussian Processes (2008) (0)
- A Renormalisation Group Method. III. Perturbative Analysis (2015) (0)
- ul 2 00 1 Branched Polymers and Dimensional Reduction (2009) (0)
- Nonperturbative Contribution to Φ + U $$\varPhi _+^U$$ : Proof of Theorem 8.2.5 (2019) (0)
- Global Flow: Proof of Theorem 4.2.1 (2019) (0)
- Bounds on Φ + K $$\varPhi _+^K$$ : Proof of Theorem 8.2.4 (2019) (0)
- A pr 2 02 1 The continuous-time lace expansion (2021) (0)
- Flow Equations and Main Result (2019) (0)
- Quantum Field Theory: Gauge Fields . Introduction to Quantum Theory. L. D. Faddeev and A. A. Slavnov. Translated from the Russian edition (Moscow, 1978) by D. B. Pontecorvo. Benjamin/Cummings Advanced Book Program, Reading, Mass., 1980. xvi, 232 pp. $28.50. (1981) (0)
- A Renormalisation Group Method. IV. Stability Analysis (2015) (0)
- The Hierarchical Model (2019) (0)
- Mayer Expansion for monomer-dimer system (2012) (0)
- Appendix A: Extension to Euclidean Models (2019) (0)
- The T z-Seminorm (2019) (0)
- A Renormalisation Group Method. I. Gaussian Integration and Normed Algebras (2015) (0)
- A ug 2 00 3 Finite range Decomposition of Gaussian Processes (2008) (0)
- On the Convergence to the Continuum of Finite Range Lattice Covariances (2012) (0)
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