Results 41 to 50 of about 44,922 (166)
On bilinear superintegrability for monomial matrix models in pure phase
European 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
Vertex operators, Weyl determinant formulae and Littlewood duality
, 2014 Vertex operator realizations of symplectic and orthogonal Schur functions are studied and expanded. New proofs of determinant identities of irreducible characters for the symplectic and orthogonal groups are given. We also give a new proof of the duality
Jing, Naihuan, Nie, Benzhi
core +1 more source
A structurally localized ensemble Kalman filtering approach
Quarterly Journal of the Royal Meteorological Society, EarlyView.We derive an inherently localized ensemble Kalman filtering (EnKF) approach, avoiding the need for any auxiliary localization technique. The idea is to first use the variational Bayesian optimization to approximate the (continuous) state analysis probability density function (pdf) by a product of independent marginal pdfs corresponding to small ...
Boujemaa Ait‐El‐Fquih +1 more
wiley +1 more source
$W_{1+\infty}$ flows and multi-component hierarchy (KP case) [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe show that abelian subalgebras of generalized $W_{1+\infty}$ ($GW_{1+\infty}$) algebra gives rise to the multicomponent KP flows. The matrix elements of the related group elements in the fermionic Fock space is expressed as a product of a certain ...
A. Yu. Orlov
doaj +1 more source
Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators
Journal 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
Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces [PDF]
, 2013 A Schur-class function in $d$ variables is defined to be an analytic contractive-operator valued function on the unit polydisk. Such a function is said to be in the Schur--Agler class if it is contractive when evaluated on any commutative $d$-tuple of ...
Ball, Joseph A. +3 more
core
A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions
, 2013 We introduce a new basis of the non-commutative symmetric functions whose commutative images are Schur functions. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric functions and decompose
Berg, Chris +4 more
core +1 more source
A note on moments of derivatives of characteristic polynomials [PDF]
, 2010 We present a simple technique to compute moments of derivatives of unitary characteristic polynomials. The first part of the technique relies on an idea of Bump and Gamburd: it uses orthonormality of Schur functions over unitary groups to compute matrix ...
Dehaye, Paul-Olivier
core
International 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 $$ \mathfrak{gl}(1) $$
Journal 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