Cover Image

New formulas for Macdonald polynomials via the multispecies exclusion and zero range processes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Mandelshtam, Olya
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 05E05, 60G10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Modified Macdonald polynomials and the multispecies zero range process: II
by: Ayyer, Arvind, et al.
Published: (2022)

Positive expansions of permuted basement and quasisymmetric Macdonald polynomials at $t=0$
by: Mandelshtam, Olya, et al.
Published: (2026)

Shape changing identities for permuted-basement nonsymmetric Macdonald polynomials
by: Moura, Guilherme Zeus Dantas e, et al.
Published: (2026)

Shuffle formula in science fiction for Macdonald polynomials
by: Kim, Donghyun, et al.
Published: (2023)

The inhomogeneous $t$-PushTASEP and Macdonald polynomials
by: Ayyer, Arvind, et al.
Published: (2024)

Macdonald characters from a new formula for Macdonald polynomials
by: Dali, Houcine Ben, et al.
Published: (2024)

A combinatorial formula for Interpolation Macdonald polynomials
by: Dali, Houcine Ben, et al.
Published: (2025)

A probabilistic interpretation for interpolation Macdonald polynomials
by: Dali, Houcine Ben, et al.
Published: (2026)

$qt$RSK${}^*$: A probabilistic dual RSK correspondence for Macdonald polynomials
by: Frieden, Gabriel, et al.
Published: (2024)

Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients
by: Romero, Marino, et al.
Published: (2025)

Probabilistic Entry Swapping Bijections for Non-Attacking Fillings
by: Moura, Guilherme Zeus Dantas e, et al.
Published: (2025)

Counting pairs of cycles whose product is a permutation with restricted cycle lengths
by: Bona, Miklos, et al.
Published: (2024)

Combinatorial formulas for symmetric Macdonald polynomials by superizations
by: Jin, Emma Yu, et al.
Published: (2026)

Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials
by: Blasiak, Jonah, et al.
Published: (2025)

The $k$-Plancherel measure and a Finite Markov Chain
by: Linusson, Svante, et al.
Published: (2025)

Reversible Markov kernels and involutions on product spaces
by: Piccioni, Mauro, et al.
Published: (2024)

A Geometric Realization of Partially-Symmetric Macdonald Polynomials
by: Goodberry, Ben, et al.
Published: (2023)

The doubly asymmetric simple exclusion process, the colored Boolean process, and the restricted random growth model
by: Jiang, Yuhan
Published: (2023)

Positive combinatorial formulae for involution matrix loci and orbit harmonics
by: Zhu, Hai
Published: (2025)

Inhomogeneous $q$-Whittaker polynomials II: ring theorem and positive specializations
by: Gunna, Ajeeth, et al.
Published: (2026)

Modified Macdonald polynomials and mu-Mahonian statistics
by: Jin, Emma Yu, et al.
Published: (2024)

$m$-Symmetric functions, non-symmetric Macdonald polynomials and positivity conjectures
by: Lapointe, Luc
Published: (2022)

Generalization and Probabilistic Proofs of Some Combinatorial Identities
by: Vellaisamy, Palaniappan, et al.
Published: (2026)

Sinaĭ excursions: An analogue of Sparre Andersen's formula for the area process of a random walk
by: Donderwinkel, Serte, et al.
Published: (2024)

On the limit law of the superdiffusive elephant random walk
by: Guérin, Hélène, et al.
Published: (2024)

Probabilistic operators for non-attacking tableaux and a compact formula for the symmetric Macdonald polynomials
by: Mandelshtam, Olya
Published: (2024)

A determinantal formula for orthosymplectic Schur functions
by: Kumari, Nishu
Published: (2024)

Simulating Simple Random Walks With a Deck of Cards
by: Alves, Raphael, et al.
Published: (2024)

Some combinatorial interpretations of the Macdonald identities for affine root systems and Nekrasov--Okounkov type formulas
by: Wahiche, David
Published: (2023)

Cutoff for the Biased Random Transposition Shuffle
by: Nestoridi, Evita, et al.
Published: (2024)

Categorification of $k$-Schur functions and refined Macdonald positivity
by: Kato, Syu
Published: (2025)

Quasisymmetric divided difference operators and polynomial bases
by: Hicks, Angela, et al.
Published: (2024)

Stereological determination of particle size distributions for similar convex bodies
by: van der Jagt, Thomas, et al.
Published: (2023)

The Expiring Coupon Collector: Sliding-Window Surjection Flux and Rare-Entry Laws
by: Long, Christopher D.
Published: (2026)

Terminal Defects, Growing Multiplicity, and Variance Extremality in the Double Dixie Cup Problem
by: Long, Christopher D.
Published: (2026)

$q$-Whittaker polynomials: bases, branching and direct limits
by: Bhattacharya, Aritra, et al.
Published: (2024)

Automorphisms and quotients of 2-colored quasi best match graphs
by: Korchmaros, Annachiara
Published: (2025)

Applications of the perturbation formula for Poisson processes to elementary and geometric probability
by: Last, Guenter, et al.
Published: (2019)

Presentations of Schur and Specht modules in characteristic zero
by: Maliakas, Mihalis, et al.
Published: (2023)

Gessel-Type Expansion for the Circular $β$-Ensemble and Central Limit Theorem for the Sine-$β$ Process for $β\le 2$
by: Gorbunov, Sergei M.
Published: (2025)