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pro vyhledávání: '"de la Harpe, P."'
Autor:
de la Harpe, Pierre
It is shown that there are groups $\Gamma$ with finite generating sets $S$ such that the adjacency operator of the Cayley graph ${\rm Cay}(\Gamma,S)$ is a disjoint union of $N$ intervals, for arbitrarily large integers $N$.
Externí odkaz:
http://arxiv.org/abs/2402.06279
Autor:
de la Harpe, Pierre
The adjacency operator of a graph has a spectrum and a class of scalar-valued spectral measures which have been systematically analyzed; it also has a spectral multiplicity function which has been less studied. The first purpose of this article is to
Externí odkaz:
http://arxiv.org/abs/2308.04339
Autor:
de la Harpe, Pierre
Let $X$ be a closed smooth manifold, $G$ be a simple connected compact real Lie group, $M (G)$ be the group of all smooth maps from $X$ to $G$, and $M_0 (G)$ be its connected component for the $\mathcal C^\infty$-compact open topology. It is shown th
Externí odkaz:
http://arxiv.org/abs/2301.03494
Autor:
Loukas Zagkos, Héléne T. Cronjé, Benjamin Woolf, Roxane de La Harpe, Stephen Burgess, Christos S. Mantzoros, Paul Elliott, Shuai Yuan, Susanna C. Larsson, Ioanna Tzoulaki, Dipender Gill
Publikováno v:
BMC Medicine, Vol 22, Iss 1, Pp 1-10 (2024)
Abstract Background Caffeine is one of the most utilized drugs in the world, yet its clinical effects are not fully understood. Circulating caffeine levels are influenced by the interplay between consumption behaviour and metabolism. This study aimed
Externí odkaz:
https://doaj.org/article/263b49f2ef8b4d119a0652d6d922853e
A graph $G = (V, E)$ of bounded degree has an adjacency operator~$A$ which acts on the Hilbert space $\ell^2(V)$. There are different kinds of measures of interest on the spectrum $\Sigma (A)$ of $A$. In particular, each vector $\xi \in \ell^2(V)$ de
Externí odkaz:
http://arxiv.org/abs/2205.12819
Autor:
Rafaël Hauser, Roxane de la Harpe, Peter Vollenweider, Roger Hullin, Julien Vaucher, Pedro Marques-Vidal, Marie Méan
Publikováno v:
Preventive Medicine Reports, Vol 42, Iss , Pp 102743- (2024)
Introduction: In 2020, the European Society of Cardiology (ESC) recommends 150 min of moderate or 75 min of vigorous-intensity PA per week. While general population PA adherence is suboptimal, its status among those with previous ASCVD or high ASCVD
Externí odkaz:
https://doaj.org/article/9c269c56a7da46c599f285779a04e541
Autor:
Roxane de La Harpe, Tabea Schoeler, Christian W. Thorball, Aurélien Thomas, Zoltán Kutalik, Julien Vaucher
Publikováno v:
BMC Cardiovascular Disorders, Vol 23, Iss 1, Pp 1-10 (2023)
Abstract Background Association between cannabis use and development of atherosclerotic cardiovascular disease (ASCVD) is inconsistent and challenging to interpret, given existing study limitations. Methods Sixty five independent single-nucleotide po
Externí odkaz:
https://doaj.org/article/fa89dd829f104f9d9ef6501fc498481e
Autor:
Fradreck Nyambandi, Andre De la Harpe
Publikováno v:
South African Journal of Information Management, Vol 26, Iss 1, Pp e1-e9 (2024)
Background: Social Media (SM) growth and its acceptance at various economic levels are making it obligatory to make sense of its management in different business environments. A business environment can be volatile, uncertain, ambiguous, static-compl
Externí odkaz:
https://doaj.org/article/55eed99e7fc545e782e8fc28fd8329eb
Autor:
de la Harpe, Pierre
The subject of growth of groups has been active in the former Soviet Union since the early 50's and in the West since 1968, when articles of \v{S}varc and Milnor have been published, independently. The purpose of this note is to quote a few articles
Externí odkaz:
http://arxiv.org/abs/2106.02499
Autor:
Bekka, Bachir, de la Harpe, Pierre
This is an expository book on unitary representations of topological groups, and of several dual spaces, which are spaces of such representations up to some equivalence. The most important notions are defined for topological groups, but a special att
Externí odkaz:
http://arxiv.org/abs/1912.07262