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Bulk detection of time-dependent topological transitions in quenched chiral models [PDF]

open access: yesPhysical Review Research, 2020
The topology of one-dimensional chiral systems is captured by the winding number of the Hamiltonian eigenstates. Here we show that this invariant can be read out by measuring the mean chiral displacement of a single-particle wave function that is ...
Alessio D'Errico   +7 more
doaj   +4 more sources

Modular Invariant of Quantum Tori II: The Golden Mean [PDF]

open access: green, 2012
In our first article in this series ("Modular Invariant of Quantum Tori I: Definitions Nonstandard and Standard" arXiv:0909.0143) a modular invariant of quantum tori was defined.
C. Castaño Bernard, T. M. Gendron
openalex   +4 more sources

Boost-invariant mean field approximation and the nuclear Landau-Zener effect [PDF]

open access: green, 2007
We investigate the relation between time-dependent Hartree-Fock (TDHF) states and the adiabatic eigenstates by constructing a boost-invariant single-particle Hamiltonian.
Lu Guo, J. A. Maruhn, P.‐G. Reinhard
openalex   +3 more sources

Asymptotics of the invariant measure in mean field models with jumps

open access: diamondStochastic Systems, 2012
We consider the asymptotics of the invariant measure for the process of the empirical spatial distribution of N coupled Markov chains in the limit of a large number of chains. Each chain reflects the stochastic evolution of one particle.
Rajesh Sundaresan, Vivek Shripad Borkar
doaj   +3 more sources

Translation invariant state and its mean entropy-I [PDF]

open access: green, 2017
Let $\IM =\otimes_{n \in \IZ}\!M^{(n)}(\IC)$ be the two sided infinite tensor product $C^*$-algebra of $d$ dimensional matrices $\!M^{(n)}(\IC)=\!M_d(\IC)$ over the field of complex numbers $\IC$.
Anilesh Mohari
openalex   +3 more sources

On the Beckenbach–Gini–Lehmer Means and Means Mappings

open access: yesMathematics, 2020
Beckenbacg–Gini–Lehmer type means and mean-type mappings generated by functions of several variables, for which the arithmetic mean is invariant, are introduced.
Janusz Matkowski, Małgorzata Wróbel
doaj   +1 more source

$\mathcal{T}_{M}$-Amenability of Banach Algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis
We introduce the notions of $\mathcal{T}_{M}$-amenability and $\phi$-$\mathcal{T}_{M}$-amenability. Then, we characterize $\phi$-$\mathcal{T}_{M}$-amenability  in terms of $WAP$-diagonals and $\phi$-invariant means. Some concrete cases are also discussed.
Ali Ghaffari, Samaneh Javadi
doaj   +1 more source

Permutation Invariant Feature Extraction Method Based on Affinity Matrix of Point Cloud [PDF]

open access: yesJisuanji gongcheng, 2022
The applicationofpoint cloud recognition and segmentation requires the extraction ofthe spatial rotation invariant and permutation invariant features of the point cloud.PointCNN extracts these features by supervised learning, but this requires additional
XU Jialin, YAO Shuang, ZHANG Ruihua, XU Hao, SHEN Yang
doaj   +1 more source

An amenability-like property of finite energy path and loop groups

open access: yesComptes Rendus. Mathématique, 2021
We show that the groups of finite energy loops and paths (that is, those of Sobolev class $H^1$) with values in a compact connected Lie group, as well as their central extensions, satisfy an amenability-like property: they admit a left-invariant mean on ...
Pestov, Vladimir
doaj   +1 more source

A Bi-Invariant Statistical Model Parametrized by Mean and Covariance on Rigid Motions

open access: yesEntropy, 2020
This paper aims to describe a statistical model of wrapped densities for bi-invariant statistics on the group of rigid motions of a Euclidean space. Probability distributions on the group are constructed from distributions on tangent spaces and pushed to
Emmanuel Chevallier, Nicolas Guigui
doaj   +1 more source

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