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dc.contributor.authorKumar, S.
dc.contributor.authorPonce Vanegas, F. 
dc.contributor.authorRoncal, L. 
dc.contributor.authorVega, L. 
dc.date.accessioned2022-02-22T11:04:14Z
dc.date.available2022-02-22T11:04:14Z
dc.date.issued2022
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1429
dc.description.abstractWe consider the solution of the Schrödinger equation $u$ in $\mathbb{R}$ when the initial datum tends to the Dirac comb. Let $h_{\text{p}, \delta}(t)$ be the fluctuations in time of $\int\lvert x \rvert^{2\delta}\lvert u(x,t) \rvert^2\,dx$, for $0 < \delta < 1$, after removing a smooth background. We prove that the Frisch--Parisi formalism holds for $H_\delta(t) = \int_{[0,t]}h_{\text{p}, \delta}(2s)\,ds$, which is morally a simplification of the Riemann's non-differentiable curve $R$. Our motivation is to understand the evolution of the vortex filament equation of polygonal filaments, which are related to $R$.en_US
dc.description.sponsorshipBERC 2022-2025, FJC2019-039804-I, RYC2018-025477-I, Ikerbasque, PGC2018-094522-B-I00en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectSchrödinger equationen_US
dc.subjectVortex filament equationen_US
dc.subjectTalbot effecten_US
dc.subjectFrisch--Parisi formalismen_US
dc.subjectMultifractalsen_US
dc.titleThe Frisch–Parisi formalism for fluctuations of the Schrödinger equationen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/669689en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/2PE/PGC2018-094528-B-I00en_US
dc.relation.projectIDES/2PE/PID2020-113156GB-I00en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España