Results 31 to 40 of about 84,841 (263)

Symmetric generating functions and Euler–Stirling statistics on permutations

Journal of Combinatorial Theory, Series A, 2023
25 ...
openaire   +2 more sources

The Hamy symmetric function and its generalization [PDF]

Mathematical Inequalities & Applications, 2006
In the paper we investigate and generalize the Hamy symmetric function: Fn(x, r) = ∑ 1 ...
openaire   +1 more source

Geometric RSK correspondence, Whittaker functions and symmetrized random polymers [PDF]

, 2013
We show that the geometric lifting of the RSK correspondence introduced by A.N. Kirillov (2001) is volume preserving with respect to a natural product measure on its domain, and that the integrand in Givental's integral formula for GL(n,R)-Whittaker ...
O'Connell, Neil, Seppäläinen, Timo, Zygouras, Nikos   +2 more
core   +3 more sources

Permutation patterns, Stanley symmetric functions, and generalized Specht modules

Journal of Combinatorial Theory, Series A, 2014
Generalizing the notion of a vexillary permutation, we introduce a filtration of S_infinity by the number of Schur function terms in the Stanley symmetric function, with the kth filtration level called the k-vexillary permutations. We show that for each k, the k-vexillary permutations are characterized by avoiding a finite set of patterns.
Billey, Sara, Pawlowski, Brendan
openaire   +3 more sources

Discrete transforms and orthogonal polynomials of (anti)symmetric multivariate cosine functions

, 2014
The discrete cosine transforms of types V--VIII are generalized to the antisymmetric and symmetric multivariate discrete cosine transforms. Four families of discretely and continuously orthogonal Chebyshev-like polynomials corresponding to the ...
Hrivnák, Jiří, Motlochová, Lenka
core   +1 more source

Diversity and complexity in neural organoids

FEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

Some applications of Rees products of posets to equivariant gamma-positivity [PDF]

, 2019
The Rees product of partially ordered sets was introduced by Bj\"orner and Welker. Using the theory of lexicographic shellability, Linusson, Shareshian and Wachs proved formulas, of significance in the theory of gamma-positivity, for the dimension of the
Athanasiadis, Christos A.
core   +3 more sources

Generalized harmonic number sums and quasisymmetric functions [PDF]

Rocky Mountain Journal of Mathematics, 2020
22 ...
openaire   +4 more sources

Algorithms for Symmetric Submodular Function Minimization under Hereditary Constraints and Generalizations [PDF]

SIAM Journal on Discrete Mathematics, 2013
We present an efficient algorithm to find nonempty minimizers of a symmetric submodular function $f$ over any family of sets ${\cal I}$ closed under inclusion. Our algorithm makes $O(n^3)$ oracle calls to $f$ and ${\cal I}$, where $n$ is the cardinality of the ground set.
Goemans, Michel X., Soto, Jose A.
openaire   +4 more sources

Linking neurogenesis, oligodendrogenesis, and myelination defects to neurodevelopmental disruption in primary mitochondrial disorders

FEBS Letters, EarlyView.
Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas, Porter L. Tomsick, Alicia M. Pickrell, Paul D. Morton   +3 more
wiley   +1 more source