Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson (Q2109218)

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English	Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson	scientific article

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title

Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson (English)

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Algebraic Combinatorics

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publication date

20 December 2022

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full work available at URL

https://arxiv.org/abs/2209.10075

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zbMATH Keywords

combinatorial enumeration

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factorizations

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Lagrange inversion

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Hurwitz numbers

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KP hierarchy

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maps

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symmetric functions

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immanants

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MaRDI profile type

MaRDI publication profile

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cites work

Inequivalent factorizations of permutations

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An analogue of the Harer-Zagier formula for unicellular maps on general surfaces

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Bijections and symmetries for the factorizations of the long cycle

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Some probabilistic trees with algebraic roots

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Finite complex reflection arrangements are $K(\pi,1)$

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Condensation in the Backgammon model

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Parking functions of types A and B

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Nombre de factorisations d'un grand cycle (Number of factorizations of a large cycle)

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Transitive Factorizations in the Hyperoctahedral Group

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Enumeration of planar constellations

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A rooted map invariant, non-orientability and Jack symmetric functions

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The quadrangulation conjecture for orientable surfaces

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Simple recurrence formulas to count maps on orientable surfaces

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A new combinatorial identity for unicellular maps, via a direct bijective approach

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Wall crossings for double Hurwitz numbers

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A simple model of trees for unicellular maps

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Non-orientable branched coverings, $b$-Hurwitz numbers, and positivity for multiparametric Jack expansions

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Uniform random sampling of simple branched coverings of the sphere by itself

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The centres of symmetric group rings

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Trajectories in random minimal transposition factorizations

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A Differential Operator for Symmetric Functions and the Combinatorics of Multiplying Transpositions

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A new tableau representation for supersymmetric Schur functions

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Some factorisations counted by Catalan numbers

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Monotone Hurwitz Numbers in Genus Zero

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Polynomiality of monotone Hurwitz numbers in higher genera

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Monotone Hurwitz numbers and the HCIZ integral

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Toda equations and piecewise polynomiality for mixed double Hurwitz numbers

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On the convergence of monotone Hurwitz generating functions

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An Inversion Theorem for Cluster Decompositions of Sequences with Distinguished Subsequences

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Immanants, Schur Functions, and the Macmahon Master Theorem

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Immanants of combinatorial matrices

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Symmetric functions and Macdonald's result for top connexion coefficients in the symmetric group

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Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions

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A proof of a conjecture for the number of ramified coverings of the sphere by the torus

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The number of ramified coverings of the sphere by the torus and surfaces of higher genera

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The KP hierarchy, branched covers, and triangulations

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Tree-like properties of cycle factorizations

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Intersection theory on the moduli space of curves and the matrix Airy function

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Analysis of a defective renewal equation arising in ruin theory

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Démonstration combinatoire de la formule de Harer–Zagier

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Factorization problems in complex reflection groups

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Reflection factorizations of Singer cycles

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Identifiers

zbMATH Open document ID

1504.05011

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DOI

10.5802/alco.269

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2109218