Spectral dimensions of Kreĭn–Feller operators and L-spectra
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2022.108253
Abstract: We study the spectral dimensions and spectral asymptotics of Kreı̆n-Feller operators for arbitrary finite Borel measures on (0,1) . Connections between the spectral dimension, the Lq-spectrum, the partition entropy and the optimised coarse multifractal dimension… read more here.
Keywords: spectral dimension; spectral dimensions; feller operators; kre feller ... See more keywords
Spectral dimension of spheres
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2020.1721514
Abstract: Abstract In this paper, we associate a growth graph to a homogeneous space of a compact group. Under certain assumptions, we show that the spectral dimension of a homogeneous space is greater than or equal… read more here.
Keywords: dimension spheres; dimension; spectral dimension;
Spectral dimension controlling the decay of the quantum first-detection probability
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.97.062105
Abstract: We consider a quantum system that is initially localized at $x_{in}$ and that is repeatedly projectively probed with a fixed period $\tau$ at position $x_d$. We ask for the probability that the system is detected… read more here.
Keywords: first detection; detection; decay; spectral dimension ... See more keywords
Synchronization in network geometries with finite spectral dimension.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.022307
Abstract: Recently there is a surge of interest in network geometry and topology. Here we show that the spectral dimension plays a fundamental role in establishing a clear relation between the topological and geometrical properties of… read more here.
Keywords: spectral dimension; synchronization network; network; geometry ... See more keywords
The Spectral Dimension of Modeled Relative Humidity Feedbacks in the CMIP5 Experiments
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Climate"
DOI: 10.1175/jcli-d-17-0491.1
Abstract: The spectral radiative kernel technique is used to derive spectrally resolved relative humidity (RH) feedbacks for 16 GCMs that participated in CMIP5. Examining spectral and spatial details of these RH feedbacks leads to three findings.… read more here.
Keywords: relative humidity; humidity feedbacks; spectral dimension; dimension modeled ... See more keywords