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Mathematics

D-Index
57
Citations
19644
World Ranking
669
National Ranking
336

Overview

Alan D. Sokal is affiliated with New York University in the United States and has contributed extensively to the field of mathematics, with a focus on discrete mathematics and combinatorics.

The research areas of Alan D. Sokal cover several specialized subfields within mathematics:

  • Discrete Mathematics and Combinatorics
  • Algebra and Number Theory
  • Applied Mathematics
  • Geometry and Topology
  • Computational Theory and Mathematics

The primary topics of research include:

  • Advanced Combinatorial Mathematics
  • Advanced Mathematical Identities
  • Mathematical functions and polynomials
  • Bayesian Methods and Mixture Models
  • Mathematics and Applications
  • Mathematical Dynamics and Fractals
  • Analytic Number Theory Research

Significant recent publications by Alan D. Sokal consist of the following papers:

  • Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions, 2022, Advances in Applied Mathematics
  • A simple algorithm for expanding a power series as a continued fraction, 2022, Expositiones Mathematicae

Additional influential papers related to the broader research network that includes coauthors are:

  • Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes-Rogers and Thron-Rogers Polynomials, with Coefficientwise Hankel-Total Positivity, 2023, Memoirs of the American Mathematical Society
  • Lattice paths and branched continued fractions II. Multivariate Lah polynomials and Lah symmetric functions, 2020, European Journal of Combinatorics
  • The Graham-Knuth-Patashnik Recurrence: Symmetries and Continued Fractions, 2021, The Electronic Journal of Combinatorics

Frequent coauthors in these research efforts include:

  • Bishal Deb
  • Mathias Pétréolle
  • A. Lefort
  • Jesús Salas
  • Alexander Dyachenko

Alan D. Sokal's work is often published in venues such as:

  • arXiv (Cornell University)
  • Advances in Applied Mathematics
  • The Electronic Journal of Combinatorics
  • Médecine et Maladies Infectieuses Formation
  • European Journal of Combinatorics

In addition to journal articles, Alan D. Sokal has published a book titled Queere KI in 2022 through Transcript Verlag.

Best Publications

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

    N.O. Sokal;A.D. Sokal

  • Transgressing the Boundaries: Toward a Transformative Hermeneutics of Quantum Gravity

    Alan D. Sokal

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

    Neal Madras;Alan D. Sokal

  • Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms

    A. Sokal

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

    Robert G. Edwards;Alan D. Sokal

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

    Aernout C. D. van Enter;Roberto Fernández;Alan D. Sokal

  • Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory

    Roberto Fernández;Jürg Fröhlich;Alan D. Sokal

  • Amplifying and processing apparatus for modulated carrier signals

    Alan D Sokal;Nathan O Sokal

  • Bounds on the ² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality

    Gregory F. Lawler;Gregory F. Lawler;Alan D. Sokal

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

    Bin Li;Bin Li;Neal Madras;Alan D. Sokal

  • The complex dynamics of wishful thinking: The critical positivity ratio.

    Nicholas J. L. Brown;Alan D. Sokal;Harris L. Friedman

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

    Alan D. Sokal

  • An improvement of Watson’s theorem on Borel summability

    Alan D. Sokal

  • Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations

    A.C.D. van Enter;R. Fernandez;A.D. Sokal

  • Bounds on the Complex Zeros of (Di)Chromatic Polynomials and Potts-Model Partition Functions

    Alan D. Sokal

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

    Jesús Salas;Alan D. Sokal

  • Multigrid Monte Carlo method. Conceptual foundations.

    Jonathan Goodman;Alan D. Sokal

  • High-efficiency tuned switching power amplifier

    Nathan O Sokal;Alan D Sokal

  • Homogeneous multivariate polynomials with the half-plane property

    Young-Bin Choe;James G. Oxley;Alan D. Sokal;David G. Wagner

  • The Repulsive Lattice Gas, the Independent-Set Polynomial, and the Lovasz Local Lemma

    Alexander D. Scott;Alan D. Sokal

  • New Monte Carlo method for the self-avoiding walk

    Alberto Berretti;Alan D. Sokal

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

    Aernout C.D. van Enter;Roberto Fernández;Alan D. Sokal

Frequent Co-Authors

Jesper Lykke Jacobsen
Jesper Lykke Jacobsen École Normale Supérieure
Jean Bricmont
Jean Bricmont Université Catholique de Louvain
Gordon Slade
Gordon Slade University of British Columbia
Gregory F. Lawler
Gregory F. Lawler University of Chicago
Anthony J. Guttmann
Anthony J. Guttmann University of Melbourne
David C. Brydges
David C. Brydges University of British Columbia
John Cardy
John Cardy University of California, Berkeley
Hubert Saleur
Hubert Saleur CEA Saclay
Elliott H. Lieb
Elliott H. Lieb Princeton University

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