Mourre theory for time-periodic magnetic fields
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2019.03.010
Abstract: We study the Mourre theory for the Floquet Hamiltonian $\hat{H} = -i \partial_t + H(t)$ generated by the time-periodic Hamiltonian $H(t)$ with $H(t+T) =H(t)$, which describes the Schr\"{o}dinger equations with general time-periodic magnetic fields. read more here.
Keywords: time; time periodic; magnetic fields; mourre theory ... See more keywords
⋄α-Measurability and combined measure theory on time scales
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DOI: 10.1080/00036811.2020.1820997
Abstract: In this paper, we introduce the concept of ◊ α -measurability and establish the combined measure theory on time scales. Particularly, one can obtain Δ-measure theory and ∇-measure theory on time sc... read more here.
Keywords: combined measure; theory time; measure; measure theory ... See more keywords
Asymptotic theory of time varying networks with burstiness and heterogeneous activation patterns
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa6ce7
Abstract: The recent availability of large-scale, time-resolved and high quality digital datasets has allowed for a deeper understanding of the structure and properties of many real-world networks. The empirical evidence of a temporal dimension prompted the… read more here.
Keywords: time varying; networks burstiness; asymptotic theory; time ... See more keywords