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List of works by Alan Sokal

A Really Simple Elementary Proof of the Uniform Boundedness Theorem

A Remark on 'Exact Analysis of Linear Circuits Containing Periodically Operated Switches with Applications'

article

A general Lee-Yang theorem for one-component and multicomponent ferromagnets

A general limitation on Monte Carlo algorithms of the Metropolis type

scientific article published in January 1994

A new proof of the existence and nontriviality of the continuum ? 2 4 and ? 3 4 quantum field theories

A physicist experiments with cultural studies ⬇️

journal article from 'Lingua franca' published in 1996

A rigorous inequality for the specific heat of an Ising or φ4 ferromagnet

article published in 1979

A simple algorithm for expanding a power series as a continued fraction

scientific article published in June 2023

Absence of mass gap for a class of stochastic contour models

article published in 1988

Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem

Accurate measurement of RF power amplifier efficiency and power output without an RF power meter

Algebraic multi-grid method for disordered systems

scholarly article by Robert G. Edwards et al published June 1989 in Nuclear Physics, Section B, Proceedings Supplements

Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and pfaffians

scholarly article by Sergio Caracciolo et al published April 2013 in Advances in Applied Mathematics

An Elementary Proof of Takagi’s Theorem on the Differential Composition of Polynomials

scientific article published in 2022

An improvement of Watson’s theorem on Borel summability

Analytic results for mixed O(N)-RPN−1 σ-models in two dimensions

Antiferromagnetic Potts models on the square lattice

scientific article published on 01 March 1995

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

Asymptotic Scaling in the Two-Dimensional O(3) σ Model at Correlation Length 105

scientific article published in Physical Review Letters

Beyond the Hoax

book by Alan Sokal

Beyond the Hoax: A Response to Emily A. Schultz

Chromatic polynomials, Potts models and all that

Class E-A new class of high-efficiency tuned single-ended switching power amplifiers

Cluster simulations of loop models on two-dimensional lattices

scientific article published on 21 March 2007

Comment on ‘‘Antiferromagnetic Potts models’’

scientific article published in Physical Review Letters

Comparison between theoretical four-loop predictions and Monte Carlo calculations in the two-dimensional N-vector model for N = 3, 4, 8

article published in 1996

Complete monotonicity for inverse powers of some combinatorially defined polynomials

Complex zero-free regions at large | q | for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights

Correction-to-Scaling Exponents for Two-Dimensional Self-Avoiding Walks

Course 16 Simulation of statistical mechanics models

Critical Speeding-Up in the Local Dynamics of the Random-Cluster Model

scientific article published in Physical Review Letters

Critical behavior of the Chayes-Machta-Swendsen-Wang dynamics

scientific article published on 31 July 2007

Critical exponents, hyperscaling, and universal amplitude ratios for two- and three-dimensional self-avoiding walks

Duality and the universality class of the three-state Potts antiferromagnet on plane quadrangulations

Dynamic Critical Behavior of the Chayes–Machta Algorithm for the Random-Cluster Model, I. Two Dimensions

Dynamic critical behavio(u)r of a cluster algorithm for the Ashkin-Teller model

Dynamic critical behavior of Wolff's collective-mode Monte Carlo algorithm for the two-dimensionalO(n)nonlinearσmodel

article

Dynamic critical behavior of a Swendsen-Wang-Type algorithm for the Ashkin-Teller model

article

Dynamic critical behavior of multi-grid Monte Carlo for two-dimensional nonlinear σ-models

Dynamic critical behavior of the Swendsen-Wang algorithm: The two-dimensional three-state Potts model revisited

article

Dynamic critical behavior of the Swendsen–Wang algorithm for the three-dimensional Ising model

article

Dynamic critical behavior of the worm algorithm for the Ising model

scientific article published on 10 September 2007

Dynamic critical behaviour of Wolff's algorithm for RPN σ-models

Dynamic critical exponent of the BFACF algorithm for self-avoiding walks

Entropy-Driven Phase Transition in Low-Temperature Antiferromagnetic Potts Models

Erratum: New lower bounds on the self-avoiding-walk connective constant

scholarly article published in Journal of Statistical Physics

Existence of compatible families of proper regular conditional probabilities

Exponential convergence to equilibrium for a class of random-walk models

Extrapolating Monte Carlo Simulations to Infinite Volume: Finite-Size Scaling atξ/L≫1

scientific article published in Physical Review Letters

Fashionable Nonsense

book by Alan Sokal and Jean Bricmont

Fermionic Field Theory for Trees and Forests

scientific article published in Physical Review Letters

Ferromagnetic phase transition for the spanning-forest model (q-->0 limit of the Potts model) in three or more dimensions

scientific article published on 17 January 2007

Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets

scientific article (publication date: October 2011)

Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm

scientific article published in September 1988

Generalized Wolff-type embedding algorithms for nonlinear σ-models

scholarly article by Sergio Caracciolo et al published May 1991 in Nuclear Physics, Section B, Proceedings Supplements

Grassmann integral representation for spanning hyperforests

High-accuracy RF amplitude comparator

High-precision Monte Carlo test of the conformai-invariance predictions for two-dimensional mutually avoiding walks

Homogeneous multivariate polynomials with the half-plane property

article published in 2004

How to beat critical slowing-down: 1990 update

Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model

article

Mean-field bounds and correlation inequalities

Monte Carlo methods for the self-avoiding walk

More inequalities for critical exponents

More surprises in the general theory of lattice systems

Multi-grid Monte Carlo (II). Two-dimensional XY model

article

Multi-grid Monte Carlo (III). Two-dimensional O(4)-symmetric non-linear σ-model

article

Multigrid Method for the Random-Resistor Problem

scientific article published in Physical Review Letters

Multigrid Monte Carlo Method for Lattice Field Theories

scientific article published in Physical Review Letters

Multigrid Monte Carlo method. Conceptual foundations

scientific article published on 01 September 1989

New Monte Carlo method for the self-avoiding walk

article published in 1985

New lower bounds on the self-avoiding-walk connective constant

article published in 1993

New method for the extrapolation of finite-size data to infinite volume

New universality classes for two-dimensional σ-models

New universality classes for two-dimensional σ-models

scientific article published in Physical Review Letters

Non-local Monte Carlo algorithm for self-avoiding walks with variable length and free endpoints

Nonergodicity of local, length-conserving Monte Carlo algorithms for the self-avoiding walk

Nonlocal Monte Carlo algorithm for self-avoiding walks with fixed endpoints

article

On the Chromatic Roots of Generalized Theta Graphs

Pathologies of the large-N limit for RPN−1, CPN−1, QPN−1 and mixed isovector/isotensor σ-models

Performance of new algorithms for self-avoiding walks with fixed endpoints

Phase transition in the three-state Potts antiferromagnet on the diced lattice

scientific article published on 17 July 2008

Positive psychology and romantic scientism

scientific article (publication date: September 2014)

Possible failure of asymptotic freedom in two-dimensional RP2 and RP3 σ-models

article

Real-variables characterization of generalized Stieltjes functions

Regularity properties and pathologies of position-space renormalization-group transformations

scholarly article by Aernout C.D. van Enter et al published May 1991 in Nuclear Physics, Section B, Proceedings Supplements

Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory

scholarly article by Aernout C. D. van Enter et al published September 1993 in Journal of Statistical Physics

Renormalization Transformations: Source of Examples and Problems in Probability and Statistics

Scientific Article

Renormalization transformations in the vicinity of first-order phase transitions: What can and cannot go wrong

scientific article published in Physical Review Letters

Rigorous entropy-energy arguments

Rigorous entropy-energy arguments

Rigorous lower bound on the dynamic critical exponent of some multilevel Swendsen-Wang algorithms

scientific article published in September 1991

Rigorous lower bound on the dynamic critical exponents of the Swendsen-Wang algorithm

scientific article published in August 1989

Rigorous proof of the high-temperature Josephson inequality for critical exponents

Scaling in multichain polymer systems in two and three dimensions

Some comments on multigrid methods for computing propagators

Some geometric critical exponents for percolation and the random-cluster model

scientific article published on 10 February 2010

Spanning Forests and the q-State Potts Model in the Limit q →0

article

Systematic errors due to linear congruential random-number generators with the Swendsen-Wang algorithm: a warning

scientific article published on 30 August 2004

The Brown–Colbourn conjecture on zeros of reliability polynomials is false

The Repulsive Lattice Gas, the Independent-Set Polynomial, and the Lov�sz Local Lemma

The Three-State Square-Lattice Potts Antiferromagnet at Zero Temperature

The complex dynamics of wishful thinking: the critical positivity ratio

scientific article

The falling raindrop, revisited

The leading root of the partial theta function

The multivariate Tutte polynomial (alias Potts model) for graphs and matroids

The persistence of wishful thinking ⬇️

scientific article (publication date: September 2014)

The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk

scientific article (publication date: 1988)

The random-walk representation of classical spin systems and correlation inequalities

Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models

Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditions

Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. I. General Theory and Square-Lattice Chromatic Polynomial

Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. III. Triangular-Lattice Chromatic Polynomial

article published in 2003

Transgressing the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity

academic hoax article that caused the Sokal affair

Two-dimensional O(3) σ-model up to correlation length 105

Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q.

scientific article published on 24 January 2013

Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus

Unusual Corrections to Scaling in the 3-State Potts Antiferromagnet on a Square Lattice

scholarly article published in 2001

Vectorized program for Monte Carlo simulation of self-avoiding walks

Wolff-type embedding algorithms for general nonlinear σ-models

article

Zero-free regions for multivariate Tutte polynomials (alias Potts-model partition functions) of graphs and matroids

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