Results 61 to 70 of about 3,811 (236)
Schur Functions and Alternating Sums [PDF]
We discuss several well known results about Schur functions that can be proved using cancellations in alternating summations; notably we shall discuss the Pieri and Murnaghan-Nakayama rules, the Jacobi-Trudi identity and its dual (Von Nägelsbach-Kostka) identity, their proofs using the correspondence with lattice paths of Gessel and Viennot, and ...
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Free fermions and Schur expansions of multi-Schur functions
Multi-Schur functions are symmetric functions that generalize the supersymmetric Schur functions, the flagged Schur functions, and the refined dual Grothendieck functions, which have been intensively studied by Lascoux. In this paper, we give a new free-fermionic presentation of them.
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Schur-Convexity of Čebišev Functional [PDF]
In this paper the Čebišev functional T ( f, g ; a, b) is regarded as a function of two variables T ( f, g ; x, y), (x, y) ∈ [a, b]× [a, b]. The property of Schur-covexity (Schur-concavity) of this function is considered. Some applications for the means are pointed out.
Čuljak, Vera, Pečarić, Josip
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High‐Order Sliding‐Mode control for MIMO Systems
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
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Skew quasisymmetric Schur functions and noncommutative Schur functions
Final version.
Bessenrodt, C. +2 more
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Generalized Schur Functions as Multivalent Functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The role of identification in data‐driven policy iteration: A system theoretic study
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley +1 more source
Virasoro Action on Schur Q-function (Women in Mathematics) [PDF]
Schur Q-function was introduced by Schur as a symmetric polynomial describing the irreducible index of the projective representation of a symmetric group.
Aokage, Kazuya +2 more
core
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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The Schur Algorithm for Generalized Schur Functions II: Jordan Chains and Transformations of Characteristic Functions [PDF]
For each non-negative integer \(\kappa\), define the set \(S_\kappa\) to consist of all those complex-valued functions \(s\) that are meromorphic on the unit disc \({\mathbb D}\), have \(\kappa\) poles in the disc, and satisfy \(\limsup_{r\uparrow 1} {| s(re^{it})| }\leq 1\) for almost all \(t\in [0,\,2\pi]\). Equivalently, \(S_\kappa\) consists of all
Alpay, D. +3 more
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