The Birkhoff theorem for unitary matrices of arbitrary dimensions
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2016.10.028
Abstract: Abstract It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prime. We prove a generalization of… read more here.
Keywords: arbitrary dimensions; matrices arbitrary; birkhoff theorem; unitary matrices ... See more keywords
Efficient Sampling From the Watson Distribution in Arbitrary Dimensions
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Computational and Graphical Statistics"
DOI: 10.1080/10618600.2024.2416521
Abstract: Abstract In this article, we present two efficient methods for sampling from the Watson distribution in arbitrary dimensions. The first method adapts the rejection sampling algorithm from Kent, Ganeiber, and Mardia, originally designed for Bingham… read more here.
Keywords: watson distribution; sampling watson; distribution; distribution arbitrary ... See more keywords
Rotating hairy black holes in arbitrary dimensions
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review D"
DOI: 10.1103/physrevd.97.024034
Abstract: A class of exact rotating black hole solutions of gravity nonminimally coupled to a self-interacting scalar field in arbitrary dimensions is presented. These spacetimes are asymptotically locally anti-de Sitter manifolds and have a Ricci-flat event… read more here.
Keywords: rotating hairy; arbitrary dimensions; hairy black; black holes ... See more keywords
Closed-form solutions to the dynamics of confined biased lattice random walks in arbitrary dimensions.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.102.062124
Abstract: Biased lattice random walks (BLRW) are used to model random motion with drift in a variety of empirical situations in engineering and natural systems such as phototaxis, chemotaxis, or gravitaxis. When motion is also affected… read more here.
Keywords: lattice random; random walks; first passage; biased lattice ... See more keywords
Solitons in Arbitrary Dimensions Stabilized by Photon-Mediated Interactions.
Sign Up to like & getrecommendations! Published in 2025 at "Physical review letters"
DOI: 10.1103/qrk6-phhk
Abstract: We propose a scheme to generate solitons in arbitrary dimensions, in a matter-wave interferometer, without the need of quantum degeneracy. In our setting, solitons emerge by balancing the single-particle dispersion with engineered cavity-mediated exchange interactions… read more here.
Keywords: mediated interactions; dimensions stabilized; photon mediated; solitons arbitrary ... See more keywords