Results 91 to 100 of about 95,105 (247)
Cave use by bats in the central Himalayas shows elevational and seasonal patterning wherein species richness is higher in early spring compared to mid‐winter. The species that occupy these systems prefer a warmer microclimate as winter progresses to spring (i.e., from hibernation phase to reproduction phase).
S. Baniya+4 more
wiley +1 more source
Recurrence formulas for Macdonald polynomials of type A [PDF]
18 pages, LaTeX, revised version, to appear in Journal of Algebraic ...
Lassalle, Michel, Schlosser, Michael J.
openaire +5 more sources
(q,t)-deformed (skew) Hurwitz τ-functions
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
Abstract A strong predictor of children's language is performance on non‐word repetition (NWR) tasks. However, the basis of this relationship remains unknown. Some suggest that NWR tasks measure phonological working memory, which then affects language growth. Others argue that children's knowledge of language/language experience affects NWR performance.
Caroline F. Rowland+7 more
wiley +1 more source
Colorful combinatorics and Macdonald polynomials
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
openaire +4 more sources
Crystal energy via charge [PDF]
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
doaj +1 more source
A generalized Macdonald operator
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
ABSTRACT Information on connectivity and genetic structure of marine organisms remains sparse in frontier ecosystems such as the Arctic Ocean. Filling these knowledge gaps becomes increasingly urgent, as the Arctic is undergoing rapid physical, ecological and socio‐economic changes.
Sarah M. Maes+14 more
wiley +1 more source
Macdonald Polynomials and Multivariable Basic Hypergeometric Series
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
doaj
Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials [PDF]
We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact "multiline queue" formula for Macdonald polynomials due to Corteel, Mandelshtam, and Williams. We also introduce a new quasisymmetric analogue of Macdonald polynomials.
arxiv