Results 71 to 80 of about 1,823 (264)

Long‐Range Interactions in Topological Superconducting Systems: A Mini Review

Advanced Physics Research, EarlyView.
Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley   +1 more source

Algebraic methods for chromatic polynomials [PDF]

, 2003
The chromatic polynomials of certain families of graphs can be calculated by a transfer matrix method. The transfer matrix commutes with an action of the symmetric group on the colours.
Reinfeld, Philipp Augustin
core  

On structural controllability in complex networks with periodic switching topologies

Asian Journal of Control, EarlyView.
Abstract This paper investigates the structural controllability of complex networks with periodic switching topologies. First, several graph transformations that preserve structural controllability are demonstrated. Based on the n‐walk theory, a criterion is derived that determines structural controllability by analyzing only the joint graph within a ...
Jingrui Hou, Zhaohui Liu, Xinghuo Yu, Mahdi Jalili   +3 more
wiley   +1 more source

On the description and identifiability analysis of experiments with mixtures [PDF]

, 2006
In a mixture experiment the collinearity problems, implied by the sum to one functional relationship among the factors, have strong consequences on the identification and analysis of regression models for such designs.
H. Maruri Aguilar, Notari, Roberto, Maruri-Aguilar, H, Notari, R, Maruri-Aguilar, Hugo, Riccomagno, Eva, E. Riccomagno, Riccomagno, E   +7 more
core  

Asymptotic properties of cross‐classified sampling designs

Canadian Journal of Statistics, EarlyView.
Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
wiley   +1 more source

Elliptic triad

Physics Letters B
The triad refers to embedding the Macdonald polynomials into the Noumi-Shiraishi functions and their reduction to solutions of simple linear equations at particular values of t. It provides an alternative definition of Macdonald theory.
A. Mironov, A. Morozov, A. Popolitov, Z. Zakirova   +3 more
doaj   +1 more source

On the determinant of quaternionic polynomial matrices and its application to system stability

, 2008
In this paper, we propose a definition of determinant for quaternionic, polynomial matrices inspired by the well-known Dieudonne determinant for the constant case.
Paula Rocha, Pereira, Ricardo, Rocha, Paula, Ricardo Pereira   +3 more
core   +1 more source

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

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

International Journal for Numerical Methods in Fluids, EarlyView.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

On Chalykh's approach to eigenfunctions of DIM-induced integrable Hamiltonians

Physics Letters B
Quite some years ago, Oleg Chalykh has built a nice theory from the observation that the Macdonald polynomial reduces at t=q−m to a sum over permutations of simpler polynomials called Baker-Akhiezer functions, which can be unambiguously constructed from ...
A. Mironov, A. Morozov, A. Popolitov
doaj   +1 more source