Alan Sokal
#148
Most Influential Person Now
American physicist and mathematician
Alan Sokal's AcademicInfluence.com Rankings
Alan Sokalmathematics Degrees
Mathematics
#113
World Rank
#292
Historical Rank
#44
USA Rank
Measure Theory
#1205
World Rank
#1533
Historical Rank
#437
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Physics Mathematics
Alan Sokal's Degrees
- PhD Physics Princeton University
Why Is Alan Sokal Influential?
(Suggest an Edit or Addition)According to Wikipedia, Alan David Sokal is an American professor of mathematics at University College London and professor emeritus of physics at New York University. He works in statistical mechanics and combinatorics. He is a critic of postmodernism, and caused the Sokal affair in 1996 when his deliberately nonsensical paper was published by Duke University Press's Social Text. He also co-authored a paper criticizing the critical positivity ratio concept in positive psychology.
Alan Sokal'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
- Transgressing the Boundaries: Toward a Transformative Hermeneutics of Quantum Gravity (1996) (866)
- The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk (1988) (689)
- Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms (1997) (500)
- Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory (1991) (438)
- Class of High-Efficiency Tuned Switching Power Amplifiers (2009) (436)
- Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory (1992) (363)
- The multivariate Tutte polynomial (alias Potts model) for graphs and matroids (2005) (336)
- Bounds on the ² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality (1988) (323)
- Fashionable Nonsense: Postmodern Intellectuals' Abuse of Science (1997) (265)
- Intellectual Impostures: Postmodern Philosophers' Abuse of Science (1999) (242)
- Revelation: A Physicist Experiments with Cultural Studies (2000) (228)
- Critical exponents, hyperscaling, and universal amplitude ratios for two- and three-dimensional self-avoiding walks (1994) (225)
- The Repulsive Lattice Gas, the Independent-Set Polynomial, and the Lovász Local Lemma (2003) (200)
- An improvement of Watson’s theorem on Borel summability (1980) (198)
- Homogeneous multivariate polynomials with the half-plane property (2002) (193)
- Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem (1996) (175)
- Bounds on the Complex Zeros of (Di)Chromatic Polynomials and Potts-Model Partition Functions (1999) (174)
- The complex dynamics of wishful thinking: the critical positivity ratio. (2013) (159)
- New Monte Carlo method for the self-avoiding walk (1985) (155)
- A general Lee-Yang theorem for one-component and multicomponent ferromagnets (1981) (149)
- Monte Carlo methods for the self-avoiding walk (1994) (145)
- Chromatic Roots are Dense in the Whole Complex Plane (2000) (143)
- Beyond the Hoax: Science, Philosophy and Culture (2008) (134)
- A new proof of the existence and nontriviality of the continuum ϕ24 and ϕ34 quantum field theories (1983) (114)
- Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus (1999) (96)
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. I. General Theory and Square-Lattice Chromatic Polynomial (2000) (96)
- Nonergodicity of local, length-conserving Monte Carlo algorithms for the self-avoiding walk (1987) (81)
- Transgressing the Boundaries: An Afterword (1996) (78)
- Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model (1996) (76)
- The Sokal hoax : the sham that shook the academy (2000) (71)
- Fermionic field theory for trees and forests. (2004) (68)
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models (2007) (57)
- Nonlocal Monte Carlo algorithm for self-avoiding walks with fixed endpoints (1990) (56)
- The leading root of the partial theta function (2011) (54)
- Rigorous entropy-energy arguments (1981) (54)
- Exponential convergence to equilibrium for a class of random-walk models (1989) (53)
- Universal distance ratios for two-dimensonal self-avoiding walks: corrected conformal-invariance predictions (1990) (52)
- Correction-to-Scaling Exponents for Two-Dimensional Self-Avoiding Walks (2004) (52)
- What the Social Text affair does and does not prove (1998) (51)
- The random-walk representation of classical spin systems and correlation inequalities (1983) (50)
- A rigorous inequality for the specific heat of an Ising or φ4 ferromagnet (1979) (49)
- The Brown-Colbourn conjecture on zeros of reliability polynomials is false (2003) (48)
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. III. Triangular-Lattice Chromatic Polynomial (2002) (47)
- Chromatic polynomials, Potts models and all that (1999) (47)
- Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and pfaffians (2011) (44)
- Wolff-type embedding algorithms for general nonlinear σ-models (1992) (44)
- Pathologies of the large-N limit for RPN−1, CPN−1, QPN−1 and mixed isovector/isotensor σ-models (2000) (44)
- Antiferromagnetic Potts Models on the Square Lattice: A High-Precision Monte Carlo Study (1998) (44)
- Multi-grid Monte Carlo (II). Two-dimensional XY model (1991) (43)
- Existence of compatible families of proper regular conditional probabilities (1981) (42)
- Spanning Forests and the q-State Potts Model in the Limit q →0 (2004) (41)
- Dynamic critical behavior of the worm algorithm for the Ising model. (2007) (40)
- More inequalities for critical exponents (1981) (39)
- Dynamic critical behavior of a Swendsen-Wang-Type algorithm for the Ashkin-Teller model (1995) (38)
- A Personal List of Unsolved Problems Concerning Lattice Gases and Antiferromagnetic Potts Models (2000) (37)
- On the Chromatic Roots of Generalized Theta Graphs (2000) (36)
- Book review: Fashionable nonsense: Postmodern intellectuals' abuse of science (1999) (35)
- The Three-State Square-Lattice Potts Antiferromagnet at Zero Temperature (1998) (34)
- Complex zero-free regions at large |q| for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights (2008) (33)
- Lattice paths and branched continued fractions: An infinite sequence of generalizations of the Stieltjes--Rogers and Thron--Rogers polynomials, with coefficientwise Hankel-total positivity (2018) (33)
- Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples (2016) (32)
- Ferromagnetic phase transition for the spanning-forest model (q-->0 limit of the Potts model) in three or more dimensions. (2006) (32)
- Dynamic critical behavior of the Swendsen-Wang algorithm: The two-dimensional three-state Potts model revisited (1996) (30)
- On Dependency Graphs and the Lattice Gas (2006) (30)
- Absence of mass gap for a class of stochastic contour models (1988) (29)
- Dynamic critical behavior of the Swendsen-Wang algorithm for the three-dimensional Ising model (2004) (29)
- Real-variables characterization of generalized Stieltjes functions (2009) (29)
- Positive psychology and romantic scientism. (2014) (28)
- Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities I. Generalizations of the Capelli and Turnbull identities (2008) (27)
- The persistence of wishful thinking. (2014) (27)
- Complete monotonicity for inverse powers of some combinatorially defined polynomials (2013) (26)
- A ridiculously simple and explicit implicit function theorem (2009) (26)
- Defense of a Modest Scientific Realism (2004) (25)
- Zero-free regions for multivariate Tutte polynomials (alias Potts-model partition functions) of graphs and matroids (2008) (24)
- CLASS E SWITCHING-MODE RF POWER AMPLIFIERS - LOW POWER DISSIPATION, LOW SENSITIVITY TO COMPONENT TOLERANCES (INCLUDING TRANSISTORS), AND WELL-DEFINED OPERATION. (24)
- Mean-field bounds and correlation inequalities (1982) (24)
- Cluster simulations of loop models on two-dimensional lattices. (2006) (23)
- Grassmann integral representation for spanning hyperforests (2007) (23)
- An alternate constructive approach to the $\varphi ^4_3$ quantum field theory, and a possible destructive approach to $\varphi ^4_4$ (1982) (22)
- Dynamic critical exponent of some Monte Carlo algorithms for the self-avoiding walk (1986) (22)
- Multi-grid Monte Carlo (III). Two-dimensional O(4)-symmetric non-linear σ-model (1992) (22)
- A Really Simple Elementary Proof of the Uniform Boundedness Theorem (2010) (20)
- Critical behavior of the Chayes-Machta-Swendsen-Wang dynamics. (2007) (20)
- Some geometric critical exponents for percolation and the random-cluster model. (2009) (19)
- High-precision Monte Carlo test of the conformai-invariance predictions for two-dimensional mutually avoiding walks (1990) (19)
- Critical speeding-up in the local dynamics of the random-cluster model. (2007) (19)
- Static scaling behavior of high-molecular-weight polymers in dilute solution: A reexamination. (1993) (18)
- Science and Sociology of Science: Beyond War and Peace (2000) (18)
- Finite-temperature phase transition in a class of four-state Potts antiferromagnets. (2011) (18)
- Entropy-Driven Phase Transition in Low-Temperature Antiferromagnetic Potts Models (2012) (17)
- Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q. (2012) (16)
- Some variants of the exponential formula, with application to the multivariate Tutte polynomial (alias Potts model) (2008) (16)
- Phase transition in the three-state Potts antiferromagnet on the diced lattice. (2008) (16)
- Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms Note to the Reader (1996) (16)
- Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions (2020) (16)
- Unusual Corrections to Scaling in the 3-State Potts Antiferromagnet on a Square Lattice (2001) (15)
- Continuum limits and exact finite-size-scaling functions for one-dimensionalO(N)-invariant spin models (1995) (15)
- More surprises in the general theory of lattice systems (1982) (15)
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditions (2010) (15)
- An alternate constructive approach to the φ 43 quantum field theory , and a possible destructive approach to φ (2018) (15)
- Lattice paths and branched continued fractions II. Multivariate Lah polynomials and Lah symmetric functions (2019) (14)
- What is all the fuss about (1997) (14)
- Multi-grid Monte Carlo via XY embedding. General theory and two-dimensional O(N)-symmetric non-linear σ-models (1996) (13)
- How to beat critical slowing down: 1990 update (1991) (13)
- What the Social Text Affair Does and Does Not Prove Alan D. Sokal (1998) (13)
- Roots of polynomials with positive coefficients (2013) (13)
- Systematic errors due to linear congruential random-number generators with the Swendsen-Wang algorithm: a warning. (2004) (13)
- Dynamic Critical Behavior of the Chayes–Machta Algorithm for the Random-Cluster Model, I. Two Dimensions (2011) (13)
- Multigrid Monte Carlo simulation via XY embedding. II. Two-dimensional SU(3) principal chiral model (1996) (13)
- The Euler and Springer numbers as moment sequences (2018) (13)
- Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk (1987) (12)
- Linear Bound in Terms of Maxmaxflow for the Chromatic Roots of Series-Parallel Graphs (2013) (11)
- VECTORIZED PROGRAM FOR MONTE-CARLO SIMULATION OF SELF-AVOIDING WALKS (1990) (11)
- Connective constant of the self-avoiding walk on the triangular lattice (1986) (10)
- Renormalization Transformations: Source of Examples and Problems in Probability and Statistics (1994) (10)
- New lower bounds on the self-avoiding-walk connective constant (1993) (10)
- Spanning forests and OSP(N|2M) -invariant σ-models (2017) (10)
- Scaling in multichain polymer systems in two and three dimensions (1983) (10)
- Dynamic critical exponent of the BFACF algorithm for self-avoiding walks (1991) (8)
- A randomized polynomial-time algorithm for the Spanning Hypertree Problem on 3-uniform hypergraphs (2008) (8)
- Phylogenetic Trees, Augmented Perfect Matchings, and a Thron-type Continued Fraction (T-fraction) for the Ward Polynomials (2020) (8)
- Erratum: New lower bounds on the self-avoiding-walk connective constant (1995) (8)
- How to clean a dirty floor: Probabilistic potential theory and the Dobrushin uniqueness theorem (2007) (7)
- Generalized Wolff-type embedding algorithms for nonlinear σ-models (1991) (7)
- Possible failure of asymptotic freedom in two-dimensional RP2 and RP3 σ-models (1992) (7)
- New universality classes for two-dimensional σ-models (1994) (6)
- When is a Riesz distribution a complex measure (2009) (6)
- Reply to Gabriel Stolzenberg (2004) (6)
- Dynamic critical behavior of multi-grid Monte Carlo for two-dimensional nonlinear σ-models (1995) (6)
- A Remark on 'Exact Analysis of Linear Circuits Containing Periodically Operated Switches with Applications' (1977) (6)
- A simple algorithm for expanding a power series as a continued fraction (2022) (5)
- Analytic results for mixed O(N)-RPN-1 σ-models in two dimensions (1994) (5)
- Complex zero-free regions at large vertical bar q vertical bar for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights (2013) (5)
- Rigorous proof of the high-temperature Josephson inequality for critical exponents (1981) (5)
- Comparison between theoretical four-loop predictions and Monte Carlo calculations in the two-dimensional N-vector model for N = 3, 4, 8 (1995) (5)
- Dynamic critical behaviour of Wolff's algorithm for RPN σ-models (1992) (5)
- How To Generalize (and Not To Generalize) the Chu–Vandermonde Identity (2018) (4)
- An Alternate Constructive Approach to the $\phi^4$ in Three-dimensions Quantum Field Theory, and a Possible Destructive Approach to $\phi^4$ in Four-dimensions (1981) (4)
- Total positivity of some polynomial matrices that enumerate labeled trees and forests I: forests of rooted labeled trees (2021) (4)
- The Science Wars Continue, with Debate on ‘Fashionable Nonsense’ (1999) (4)
- A remark on the enumeration of rooted labeled trees (2019) (4)
- Coefficientwise total positivity of some matrices defined by linear recurrences (2020) (4)
- Ergodicity of the Wang–Swendsen–Kotecký algorithm on several classes of lattices on the torus (2022) (4)
- Multiple Laguerre polynomials: Combinatorial model and Stieltjes moment representation (2021) (4)
- Maxmaxflow and Counting Subgraphs (2007) (4)
- Rigorous entropy-energy arguments (1982) (4)
- The Graham-Knuth-Patashnik Recurrence: Symmetries and Continued Fractions (2020) (3)
- New method for the extrapolation of finite-size data to infinite volume (1994) (3)
- Accepted for publication in Communications in Mathematical Physics (2014) (3)
- Application of the O(N)-hyperspherical harmonics to the study of the continuum limits of one-dimensional σ-models and to the generation of high-temperature expansions in higher dimensions (1995) (3)
- New Numerical Algorithms for Critical Phenomena (Multi-Grid Methods and All That) (1988) (3)
- Performance of new algorithms for self-avoiding walks with fixed endpoints (1989) (3)
- Non-Gibbsian States for Renormalization-Group Transformations and Beyond (1993) (3)
- A Personal List of Unsolved Problems Concerning Potts Models and Lattice Gases (2000) (3)
- Sokalratic Debate Continues, Fueled by Latour and Copenhagen Interpretations (1999) (2)
- Reply to Our Critics (2001) (2)
- The falling raindrop, revisited (2009) (2)
- Some comments on multigrid methods for computing propagators (1993) (2)
- Dynamic critical behavio(u)r of a cluster algorithm for the Ashkin-Teller model (1995) (2)
- On the Chromatic Roots of (2000) (2)
- Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers (2022) (2)
- What is science and why should we care (2013) (2)
- Multiple orthogonal polynomials, $d$-orthogonal polynomials, production matrices, and branched continued fractions (2022) (2)
- Two-dimensional O(3) σ-model up to correlation length 105 (1994) (2)
- Random-surface models (1992) (1)
- 3. Science and Sociology of Science: Beyond War and Peace (2019) (1)
- Who Rules in Science? (Book). (2003) (1)
- Clarity, charity and criticism, wit, wisdom and worldliness: Avoiding intellectual impositions (2000) (1)
- Total positivity of some polynomial matrices that enumerate labeled trees and forests. II. Rooted labeled trees and partial functional digraphs (2023) (1)
- Finite-Size Scaling at $\xi/L \gg 1$ (1994) (1)
- Numerical Computation of \prod_{n=1}^\infty (1 - tx^n) (2002) (1)
- Ferromagnetic phase transition for spanning forests in three or more dimensions (2006) (1)
- High-accuracy RF amplitude comparator (1977) (1)
- Postmodernist critics hit back (1999) (1)
- Non-local Monte Carlo algorithm for self-avoiding walks with variable length and free endpoints (1991) (1)
- ec 2 00 2 Numerical Computation of ∞ ∏ n = 1 ( 1 − tx n ) (2008) (0)
- EFT as a gas of random walks with hard-core interactions (1992) (0)
- Inequalities for critical exponents (1992) (0)
- Hydrodynamic Coupling Among Colloidal Spheres in a Holographic Optical Trap Array (2005) (0)
- The recourse of hoax: Orthodox modern readings of (2010) (0)
- The Laguerre-Pólya Class and Combinatorics (2023) (0)
- Fe b 20 04 Dynamic Critical Behavior of the Swendsen – Wang Algorithm for the Three-Dimensional Ising Model (2008) (0)
- Improved numerical methods for quantum field theory (Outstanding junior investigator award) (1992) (0)
- Entropy-Driven Phase Transition in Low-Temperature Antiferromagnetic Potts Models (2014) (0)
- Improved numerical methods for quantum field theory (Outstanding junior investigator award). Progress report, January 1, 1991--December 31, 1991 (1992) (0)
- Gotcha! Professor Sokal and the Editorial Process (1996) (0)
- Review of “ Who Rules in Science ? ” (0)
- Phase transitions and critical points in classical spin systems: A brief survey (1992) (0)
- Ja n 20 09 Real-variables characterization of generalized Stieltjes functions (2009) (0)
- Corrigendum to “Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples” [Linear Algebra Appl. 520 (2017) 242–259] (2021) (0)
- Factorization and differentiation of the weights (1992) (0)
- J an 2 00 7 Critical speeding-up in a local dynamics for the random-cluster model (2013) (0)
- Random walks as Euclidean field theory (EFT) (1992) (0)
- Reviewer dislikes Hoax, perhaps intensely (2009) (0)
- Course 16 - Simulation of Statistical Mechanics Models (2006) (0)
- Improved numerical methods for quantum field theory (Outstanding junior investigator award). Final report, July 15, 1990--July 14, 1993 (1993) (0)
- Book reviews (2002) (0)
- Remarks on Methodological Relativism and “Antiscience” (2001) (0)
- Algebraic multi-grid method for disordered systems (1989) (0)
- Letter to Physics Today in reply to Peter Saulson's review of my book Beyond the Hoax: Science, Philosophy and Culture (2009) (0)
- Wall’s continued-fraction characterization of Hausdorff moment sequences: A conceptual proof (2019) (0)
- Reply to Turnbull , Krips , Dusek and FullerFor MetascienceJean (2000) (0)
- Scale transformations and scaling (continuum) limits in lattice spin systems (1992) (0)
- 25. Reply to Our Critics (2019) (0)
- Correlation inequalities: A survey of results (1992) (0)
- The implicit epistemology of White Fragility (2023) (0)
- New critical exponents for percolation and the random-cluster model (2009) (0)
- Cluster Simulations of Loop Models on Planar Lattices (2006) (0)
- 25] G.f. Lawler and A.d. Sokal, `bounds on the L 2 Spectrum for Markov Chains and Markov (1993) (0)
- When does a hypergeometric function ${}_{p\!}F_q$ belong to the Laguerre--P\'olya class $LP^+$? (2022) (0)
- Continued fractions for cycle-alternating permutations (2023) (0)
- United States Patent 19 Sokal (2017) (0)
- Random-walk models in the absence of magnetic field (1992) (0)
- Beyond the Hoax: A Response to Emily A. Schultz (2011) (0)
- Some Probable Instances of Plagiarism in the Work of Professor (2010) (0)
- An Elementary Proof of Takagi’s Theorem on the Differential Composition of Polynomials (2021) (0)
- Lecturers who Contributed to this volume (2006) (0)
- Skier and loop-the-loop with friction (2020) (0)
- Authors' response [to David Turnbull, Henry Krips, Val Dusek and Steve Fuller] (2000) (0)
- Construction of scaling limits: the renormalization group (1992) (0)
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What Are Alan Sokal's Academic Contributions?
Alan Sokal is most known for their academic work in the field of mathematics. They are also known for their academic work in the fields of and physics.
Alan Sokal has made the following academic contributions:
