Results 91 to 100 of about 11,203 (263)

Invariants of automorphic lie algebras

Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
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Bayesian inverse ensemble forecasting for COVID‐19

Canadian Journal of Statistics, EarlyView.
Abstract Variations in strains of COVID‐19 have a significant impact on the rate of surges and on the accuracy of forecasts of the epidemic dynamics. The primary goal for this article is to quantify the effects of varying strains of COVID‐19 on ensemble forecasts of individual “surges.” By modelling the disease dynamics with an SIR model, we solve the ...
Kimberly Kroetch, Don Estep
wiley   +1 more source

A partial envelope approach for modelling multivariate spatial‐temporal data

Canadian Journal of Statistics, EarlyView.
Abstract In the new era of big data, modelling multivariate spatial‐temporal data is a challenging task due to both the high dimensionality of the features and complex associations among the responses across different locations and time points.
Reisa Widjaja, Wenbo Wu, Victor De Oliveira, Keying Ye   +3 more
wiley   +1 more source

Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices

, 2006
In this paper, we investigate some mathematical structures underlying the physics of linear optical passive (LOP) devices. We show, in particular, that with the class of LOP transformations on N optical modes one can associate a unitary representation of
P. Aniello, Aniello, Paolo, M. Napolitano, Lupo, Cosmo, Napolitano, Mario, C. Lupo   +5 more
core   +1 more source

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

Who Knows Best What the Next Year Will Hold for You? The Validity of Direct and Personality‐based Predictions of Future Life Experiences Across Different Perceivers

European Journal of Personality, EarlyView., 2020
Abstract This study explored the validity of person judgements by targets and their acquaintances (‘informants’) in longitudinally predicting a broad range of psychologically meaningful life experiences. Judgements were gathered from four sources (targets, N = 189; and three types of informants, N = 1352), and their relative predictive validity was ...
Nele M. Wessels, Johannes Zimmermann, Daniel Leising, Jan‐Erik Lönnqvist   +3 more
wiley   +1 more source

Simple Lie algebras and their classification

, 2010
This thesis is about the classification of simple Lie algebras. We start with some basic structure theory given in Chapter 2. Thereafter in Chapters 3 to 5 we give the complete classification over a field of characteristic zero.
Tsonev, Dragomir Mitkov
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

On The Solvable Length of Associative Algebras, Matrix Groups, and Lie Algebras

, 2004
Let A be an algebraic system with product a*b between elements a and b in A. It is of interest to compare the solvable length t with other invariants, for instance size, order, or dimension of A.
Wood, Lisa M
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