Results 81 to 90 of about 561,255 (240)
(q,t)-deformed (skew) Hurwitz τ-functions
Nuclear Physics B, 2023 We follow the general recipe for constructing commutative families of W-operators, which provides Hurwitz-like expansions in symmetric functions (Macdonald polynomials), in order to obtain a difference operator example that gives rise to a (q,t ...
Fan Liu +6 more
doaj
A unifying class of compound Poisson integer‐valued ARMA and GARCH models
Scandinavian Journal of Statistics, EarlyView.Abstract INAR (integer‐valued autoregressive) and INGARCH (integer‐valued GARCH) models are among the most commonly employed approaches for count time series modeling, but have been studied in largely distinct strands of literature. In this paper, a new class of generalized integer‐valued ARMA (GINARMA) models is introduced which unifies a large number
Johannes Bracher, Barbora Němcová
wiley +1 more source
Colorful combinatorics and Macdonald polynomials
European Journal of Combinatorics, 2019 The non-negative integer cocharge statistic on words was introduced in the 1970's by Lascoux and Sch tzenberger to combinatorially characterize the Hall-Littlewood polynomials. Cocharge has since been used to explain phenomena ranging from the graded decomposition of Garsia-Procesi modules to the cohomology structure of the Grassman variety.
Jennifer Morse, Ryan Kaliszewski
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A Nekrasov–Okounkov formula for Macdonald polynomials [PDF]
Journal of Algebraic Combinatorics, 2017 We prove a Macdonald polynomial analogue of the celebrated Nekrasov-Okounkov hook-length formula from the theory of random partitions. As an application we obtain a proof of one of the main conjectures of Hausel and Rodriguez-Villegas from their work on mixed Hodge polynomials of the moduli space of stable Higgs bundles on Riemann surfaces.
Eric M. Rains, S. Ole Warnaar
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Macdonald Polynomials and Multivariable Basic Hypergeometric Series
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we show that the Pieri formula for Macdonald polynomials and its recently discovered inverse, a recursion formula for Macdonald polynomials, both represent ...
Michael J. Schlosser
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Crystal energy via charge [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The Ram–Yip formula for Macdonald polynomials (at t=0) provides a statistic which we call charge. In types ${A}$ and ${C}$ it can be defined on tensor products of Kashiwara–Nakashima single column crystals.
Cristian Lenart, Anne Schilling
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A generalized Macdonald operator
, 2010 We present an explicit difference operator diagonalized by the Macdonald polynomials associated with an (arbitrary) admissible pair of irreducible reduced crystallographic root systems.
Baratta +14 more
core +1 more source
Where Does the Tail Start? Inflection Points and Maximum Curvature as Boundaries
Stat, Volume 14, Issue 3, September 2025.ABSTRACT Understanding the tail behaviour of distributions is crucial in statistical theory. For instance, the tail of a distribution plays a ubiquitous role in extreme value statistics, where it is associated with the likelihood of extreme events. There are several ways to characterize the tail of a distribution based on how the tail function, F¯(x)=P(
Rafael Cabral +2 more
wiley +1 more source
Supersymmetric polynomials and algebro-combinatorial duality
SciPost PhysicsIn this note we develop a systematic combinatorial definition for constructed earlier supersymmetric polynomial families. These polynomial families generalize canonical Schur, Jack and Macdonald families so that the new polynomials depend on odd ...
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
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The FASEB Journal, Volume 39, Issue 14, 31 July 2025.During endothelial cell Ca2+ wave propagation, IP3 in the initiating cell activates IP3Rs on the endoplasmic reticulum, releasing Ca2+ into the cytoplasm. We show that IP3 is required for signal propagation to neighboring cells and propose that this is due to activation of membrane‐bound pore‐dead IP3Rs, as part of a noncanonical signaling inside‐out ...
C. Buckley +4 more
wiley +1 more source