Results 61 to 70 of about 3,636 (229)
Products of Factorial Schur Functions [PDF]
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
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
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
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Schur m-Power Convexity of a Class of Multiplicatively Convex Functions and Applications
We investigate the conditions under which the symmetric functions Fn,k(x,r)=∏1 ...
Wen Wang, Shiguo Yang
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On bilinear superintegrability for monomial matrix models in pure phase
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
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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 $$ \mathfrak{gl}(1) $$
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
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The Flagged Double Schur Function [PDF]
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
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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
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
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