Results 1 to 10 of about 18,581 (148)
Schubert Polynomials and Quiver Formulas [PDF]
Duke Mathematical Journal, 2002 The work of Buch and Fulton established a formula for a general kind of degeneracy locus associated to an oriented quiver of type $A$. The main ingredients in this formula are Schur determinants and certain integers, the quiver coefficients, which ...
Buch, Anders Skovsted +3 more
core +7 more sources
Adolescents' trajectories of mental health in the MYRIAD trial. [PDF]
JCPP AdvAbstract Background This study explored adolescent's mental health trajectories over the course of a school‐based mindfulness‐based intervention trial (MYRIAD). It examined whether intervention condition (mindfulness vs. teaching‐as‐usual), individual‐level and contextual‐level factors were associated with different trajectories.
Holst CG +8 more
europepmc +2 more sources
Schubert polynomial expansions revisited
Forum of Mathematics, SigmaWe give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau +2 more
doaj +3 more sources
Climate Change Challenges Grey Wolf Resilience: Insights From Dental Microwear. [PDF]
Ecol LettWe investigate dietary plasticity in European grey wolves across interglacial periods using dental microwear texture analysis. Enhanced durophagy is associated with warm climates in both modern Polish and British Pleistocene wolves, indicating deep‐time behavioural flexibility.
Burtt AA +7 more
europepmc +2 more sources
Photoreceptor degeneration has heterogeneous effects on functional retinal ganglion cell types. [PDF]
J PhysiolAbstract figure legend Photoreceptor loss has heterogeneous effects on functional retinal ganglion cell (RGC) types. A, illustrations of cross‐sections of rd10 retinae at different time points during degeneration. Left: P30, rod degeneration has commenced, cones are still unaffected.
Dyszkant N +6 more
europepmc +2 more sources
Combinatorial description of the cohomology of the affine flag variety [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We construct the affine version of the Fomin-Kirillov algebra, called the affine FK algebra, to investigatethe combinatorics of affine Schubert calculus for typeA. We introduce Murnaghan-Nakayama elements and Dunklelements in the affine FK algebra.
Seung Jin Lee
doaj +1 more source
Upper bounds of Schubert polynomials [PDF]
Science China Mathematics, 2021 14 pages, 4 ...
Fan, Neil Jiuyu, Guo, Peter Long
openaire +3 more sources
A dual approach to structure constants for K-theory of Grassmannians [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The problem of computing products of Schubert classes in the cohomology ring can be formulated as theproblem of expanding skew Schur polynomial into the basis of ordinary Schur polynomials. We reformulate theproblem of computing the structure constants
Huilan Li, Jennifer Morse, Pat Shields
doaj +1 more source
A Murgnahan-Nakayama rule for Schubert polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We expose a rule for multiplying a general Schubert polynomial with a power sum polynomial in $k$ variables. A signed sum over cyclic permutations replaces the signed sum over rim hooks in the classical Murgnahan-Nakayama rule. In the intersection theory
Andrew Morrison
doaj +1 more source
Double Schubert polynomials do have saturated Newton polytopes
Forum of Mathematics, Sigma, 2023 We prove that double Schubert polynomials have the saturated Newton polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory of multidegrees.
Federico Castillo +3 more
doaj +1 more source