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Fixed points of parking functions (Q6567121)

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scientific article; zbMATH DE number 7876005

Language	Label	Description	Also known as
English	Fixed points of parking functions	scientific article; zbMATH DE number 7876005

Statements

scholarly article

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Fixed points of parking functions (English)

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Nathan Williams

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Transactions of the American Mathematical Society

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publication date

4 July 2024

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zbMATH Keywords

parking words

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super-diagonal labeled paths

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MaRDI profile type

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Partitions which are simultaneously \(t_1\)- and \(t_2\)-core

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Hyperplane arrangements and diagonal harmonics

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Results and conjectures on simultaneous core partitions

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Sweep maps: a continuous family of sorting algorithms

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Rational parking functions and Catalan numbers

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The Shi arrangement and the Ish arrangement

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On free deformations of the braid arrangement

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A simple bijection for the regions of the Shi arrangement of hyperplanes

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Interlaced rectangular parking functions

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Compositional (<i>km</i>,<i>kn</i>)-Shuffle Conjectures

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A proof of the shuffle conjecture

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Combinatorics of the zeta map on rational Dyck paths

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Ad-nilpotent ideals of a Borel subalgebra. II.

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Double affine Hecke algebras and difference Fourier transforms.

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Counting Shi regions with a fixed separating wall

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A bijection between dominant Shi regions and core partitions

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On the Netto Inversion Number of a Sequence

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Major Index and Inversion Number of Permutations

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A proof of the \(q,t\)-Catalan positivity conjecture

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A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion

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Group actions on Stanley-Reisner rings and invariants of permutation groups

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A combinatorial approach to the \(q,t\)-symmetry relation in Macdonald polynomials

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Compactified Jacobians and \(q,t\)-Catalan numbers. I.

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Compactified Jacobians and \(q,t\)-Catalan numbers. II

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Affine permutations and rational slope parking functions

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Rational Dyck paths in the non relatively prime case

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Refined knot invariants and Hilbert schemes

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Conjectured statistics for the \(q,t\)-Catalan numbers.

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A combinatorial formula for the character of the diagonal coinvariants

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A conjectured combinatorial formula for the Hilbert series for diagonal harmonics

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Conjectures on the quotient ring by diagonal invariants

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\(t,q\)-Catalan numbers and the Hilbert scheme.

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Vanishing theorems and character formulas for the Hilbert scheme of points in the plane

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Affine Springer fibers of type \(A\) and combinatorics of diagonal coinvariants

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An Occupancy Discipline and Applications

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Enumeration of ad-nilpotent \({\mathfrak b}\)-ideals for simple Lie algebras

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Tableaux on \(k+1\)-cores, reduced words for affine permutations, and \(k\)-Schur expansions

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Bijections for the Shi and Ish arrangements

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Conjectured statistics for the higher \(q,t\)-Catalan sequences

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Conjectured combinatorial models for the Hilbert series of generalized diagonal harmonic modules

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Some Examples of Square Integrable Representations of Semisimple p-Adic Groups

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The indices of permutations and the derivation therefrom of functions of a single associated with the permutations of any assemblage of objects.

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Toric braids and \((m,n)\)-parking functions

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Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)

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Deformations of Coxeter hyperplane arrangements

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The Kazhdan-Lusztig cells in certain affine Weyl groups

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Sign Types Corresponding to an Affine Weyl Group

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<i>B</i>-Stable Ideals in the Nilradical of a Borel Subalgebra

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Hyperplane arrangements, interval orders, and trees.

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From Anderson to zeta

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Strange expectations and simultaneous cores

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Cyclic symmetry of the scaled simplex

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Sweeping up zeta

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The computation of fixed points and applications

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/TRAN/8994

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Sitelinks

Mathematics(1 entry)

mardi Publication:6567121

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