Faculty

Institution

Unit

Venue

Alan David Sokal

Professor of Mathematics Professor Emeritus of Physics

New York University

Affiliations

Arts & Science

Mathematics

Alan David Sokal is currently serving as an Arts & Science Professor of Mathematics Professor Emeritus of Physics at New York University.

Honors

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Experiences

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Education

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Alan David Sokal

New York University

Professor of Mathematics Professor Emeritus of Physics

You can click a keyword to filter the displayed items

applied mathematics physics statistical physics particle physics mathematical physics mathematical sciences combinatorics statistics applied physics statistical mechanics condensed matter physics combinatorial theory theoretical physics nuclear physics monte carlo methods phase transitions graph theory continued fractions spectral theory lattice theory lattice field theory antiferromagnetic potts models quantum science high energy physics dynamic critical behavior machine learning self-avoiding walk self-avoiding walks multi-grid monte carlo nuclear science modern literature integrable probability quantum theory square lattice transfer matrices partition-function zeros swendsen-wang algorithm lattice paths mathematical optimization applied algebra theoretical high-energy physics gibbs measure asymptotic scaling power electronics entropy matrix theory ferromagnetism lower bounds algebraic analysis chromatic roots complex zero-free regions strategic studies human decision process particle methods positive psychology poisson boundary wishful thinking dynamic critical exponent random-cluster model personality psychology cognitive psychology cultural psychology tree growth treebanks stochastic calculus quantitative psychology proof theory cross-border challenge entropy production applied psychology scientific misconduct theoretical analysis cross-border management finite element methods mental process loneliness tutte polynomial mathematics chromatic polynomial constructive field theory

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Remark on Continued Fractions for Permutations and D-Permutations With a Weight -1 Per Cycle. The Electronic Journal of Combinatorics (2024)

Bishal DebAlan D. Sokal

combinatoricsapplied mathematics

Classical Continued Fractions for Some Multivariate Polynomials Generalizing the Genocchi and Median Genocchi Numbers. Advances in Applied Mathematics (2024)

Bishal DebAlan D. Sokal

multivariate polynomialsapplied mathematics

Continued Fractions for Cycle-Alternating Permutations. The Ramanujan Journal (2024)

Bishal DebAlan D. Sokal

cycle-alternating permutationsmathematicsecology and evolutionary biology

Multiple Orthogonal Polynomials, 𝑑-Orthogonal Polynomials, Production Matrices, and Branched Continued Fractions. Transactions of the American Mathematical Society Series B (2024)

Alan Sokal

d-orthogonal polynomialsproduction matricesmultiple orthogonal polynomialscontinued fractionsmathematics

Thron-Type Continued Fractions (T-Fractions) for Some Classes of\N Increasing Trees. arXiv (Cornell University) (2024)

Bitonti, VeronicaDeb, BishalSokal, Alan D.

graph theoryfacies analysiscontinued fractionsapplied mathematicsthron-type continued fractions

Total Positivity of Some Polynomial Matrices That Enumerate Labeled Trees and Forests II. Rooted Labeled Trees and Partial Functional Digraphs. Advances in Applied Mathematics (2024)

Xi ChenAlan D. Sokal

partial functional digraphsnumerical analysispolynomial matricesapplied mathematicstotal positivityapplied algebralabeled trees

Coefficientwise Hankel-Total Positivity of the Schett Polynomials. arXiv (Cornell University) (2023)

Bishal DebAlan D. Sokal

schett polynomialsparticle physicscoefficientwise hankel-total positivity

Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, With Coefficientwise Hankel-Total Positivity. Memoirs of the American Mathematical Society (2023)

Mathias PétréolleAlan D. SokalBao-Xuan Zhu

mathematical analysislattice pathscoefficientwise hankel-total positivitythron-rogers polynomialsmathematics

Lattice Paths and Branched Continued Fractions. III. Generalizations of the Laguerre, Rook and Lah Polynomials. arXiv (Cornell University) (2023)

Bishal DebAlexander DyachenkoMathias PétréolleAlan D. Sokal

lattice paths

The Implicit Epistemology of White Fragility. Journal of Philosophy of Education (2023)

Alan Sokal

philosophy of educationepistemologyeducationimplicit epistemologyphilosophy

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Alan David Sokal

Professor of Mathematics Professor Emeritus of Physics

New York University

Affiliations

Arts & Science

Mathematics

Alan David Sokal is currently serving as an Arts & Science Professor of Mathematics Professor Emeritus of Physics at New York University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Alan David Sokal

New York University

Professor of Mathematics Professor Emeritus of Physics

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Remark on Continued Fractions for Permutations and D-Permutations With a Weight -1 Per Cycle. The Electronic Journal of Combinatorics (2024)

Bishal DebAlan D. Sokal

combinatoricsapplied mathematics

Classical Continued Fractions for Some Multivariate Polynomials Generalizing the Genocchi and Median Genocchi Numbers. Advances in Applied Mathematics (2024)

Bishal DebAlan D. Sokal

multivariate polynomialsapplied mathematics

Continued Fractions for Cycle-Alternating Permutations. The Ramanujan Journal (2024)

Bishal DebAlan D. Sokal

cycle-alternating permutationsmathematicsecology and evolutionary biology

Multiple Orthogonal Polynomials, 𝑑-Orthogonal Polynomials, Production Matrices, and Branched Continued Fractions. Transactions of the American Mathematical Society Series B (2024)

Alan Sokal

d-orthogonal polynomialsproduction matricesmultiple orthogonal polynomialscontinued fractionsmathematics

Thron-Type Continued Fractions (T-Fractions) for Some Classes of\N Increasing Trees. arXiv (Cornell University) (2024)

Bitonti, VeronicaDeb, BishalSokal, Alan D.

graph theoryfacies analysiscontinued fractionsapplied mathematicsthron-type continued fractions

Total Positivity of Some Polynomial Matrices That Enumerate Labeled Trees and Forests II. Rooted Labeled Trees and Partial Functional Digraphs. Advances in Applied Mathematics (2024)

Xi ChenAlan D. Sokal

partial functional digraphsnumerical analysispolynomial matricesapplied mathematicstotal positivityapplied algebralabeled trees

Coefficientwise Hankel-Total Positivity of the Schett Polynomials. arXiv (Cornell University) (2023)

Bishal DebAlan D. Sokal

schett polynomialsparticle physicscoefficientwise hankel-total positivity

Mathias PétréolleAlan D. SokalBao-Xuan Zhu

mathematical analysislattice pathscoefficientwise hankel-total positivitythron-rogers polynomialsmathematics

Lattice Paths and Branched Continued Fractions. III. Generalizations of the Laguerre, Rook and Lah Polynomials. arXiv (Cornell University) (2023)

Bishal DebAlexander DyachenkoMathias PétréolleAlan D. Sokal

lattice paths

The Implicit Epistemology of White Fragility. Journal of Philosophy of Education (2023)

Alan Sokal

philosophy of educationepistemologyeducationimplicit epistemologyphilosophy

1
2
3
4
5
52
10 / page

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engineering

applied mathematical modelling

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numerical mathematics

constructive approximation

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statistical physic

complex system

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computational infrastructure

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mechanics

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