Results 61 to 70 of about 3,636 (229)

Products of Factorial Schur Functions [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2008
The product of any finite number of factorial Schur functions can be expanded as a ${\Bbb Z}[{\bf y}]$-linear combination of Schur functions. We give a rule for computing the coefficients in such an expansion. This rule generalizes the classical Littlewood-Richardson rule and several special cases of the Molev-Sagan rule.
openaire   +4 more sources

Cylindric Schur functions

open access: yes, 2023
We generalize several classical results about Schur functions to the family of cylindric Schur functions. First, we give a combinatorial proof of a Murnaghan--Nakayama formula for expanding cylindric Schur functions in the power-sum basis.
Oğuz, Ezgi Kantarci, Alexandersson, Per
core  

A generalization of the Murnaghan-Nakayama rule for $K$-$k$-Schur and $k$-Schur functions

open access: yes, 2023
The $K$-$k$-Schur functions and $k$-Schur functions appeared in the study of $K$-theoretic and affine Schubert Calculus as polynomial representatives of Schubert classes.
Duc, Khanh Nguyen
core   +1 more source

Schur m-Power Convexity of a Class of Multiplicatively Convex Functions and Applications

open access: yesAbstract and Applied Analysis, 2014
We investigate the conditions under which the symmetric functions Fn,k(x,r)=∏1 ...
Wen Wang, Shiguo Yang
doaj   +1 more source

On bilinear superintegrability for monomial matrix models in pure phase

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
We argue that the recently discovered bilinear superintegrability http://arxiv.org/2206.02045 generalizes, in a non-trivial way, to monomial matrix models in pure phase.
C.-T. Chan   +3 more
doaj   +1 more source

String‐Stable Platooning Control of Connected Automated Vehicles Under Non‐Uniform Stochastic Communication Delays

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan   +3 more
wiley   +1 more source

3D bosons, 3-Jack polynomials and affine Yangian of gl 1 $$ \mathfrak{gl}(1) $$

open access: yesJournal of High Energy Physics, 2023
3D (3 dimensional) Young diagrams are a generalization of 2D Young diagrams. In this paper, We consider 3D Bosons and 3-Jack polynomials. We associate three parameters h 1, h 2, h 3 to y, x, z-axis respectively.
Na Wang, Ke Wu
doaj   +1 more source

The Flagged Double Schur Function [PDF]

open access: yesJournal of Algebraic Combinatorics, 2002
The notion of double Schubert polynomial is an extension to two sets of variables of the notion of ``ordinary'' Schubert polynomial. The paper under review deals with the class of symmetric double Schubert polynomials corresponding to a class of permutations called Grassmannian permutations.
Chen, William Y. C.   +2 more
openaire   +2 more sources

Output‐Feedback H∞$$ {H}_{\infty } $$ Detector‐Based Control of Continuous‐Time Markov Jump Lur'e Systems With Sector‐Bound Optimization

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the problem of dynamic output‐feedback H∞$$ {H}_{\infty } $$ detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to ...
Lucas P. M. Silva   +2 more
wiley   +1 more source

Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators

open access: yesJournal of High Energy Physics, 2023
We study the Schur line defect correlation functions in $$ \mathcal{N} $$ = 4 and $$ \mathcal{N} $$ = 2∗ U(N) super Yang-Mills (SYM) theory. We find exact closed-form formulae of the correlation functions of the Wilson line operators in the fundamental ...
Yasuyuki Hatsuda, Tadashi Okazaki
doaj   +1 more source

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