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  • Open Access English
    Authors: 
    Pablo Shmerkin; Boris Solomyak;
    Publisher: American Mathematical Society
    Country: Argentina
    Project: NSF | Ergodic Theory, Dynamics ... (0968879)

    We show that in many parametrized families of self-similar measures, their projections, and their convolutions, the set of parameters for which the measure fails to be absolutely continuous is very small - of co-dimension at least one in parameter space. This complement...

  • Open Access English
    Authors: 
    Nir Lev; Gilad Reti;
    Project: EC | HARMONIC (713927)

    We obtain new Poisson type summation formulas with nodes $\pm \sqrt{n}$ and with weights involving the function $r_k(n)$ that gives the number of representations of a positive integer $n$ as the sum of $k$ squares. Our results extend summation formulas due to Guinand an...

  • Publication . Preprint . Other literature type . Conference object . 2019
    Open Access English
    Authors: 
    Shimon Bitton; Yuval Emek; Taisuke Izumi; Shay Kutten;

    A new \emph{spanner} construction algorithm is presented, working under the \emph{LOCAL} model with unique edge IDs. Given an $n$-node communication graph, a spanner with a constant stretch and $O (n^{1 + \varepsilon})$ edges (for an arbitrarily small constant $\varepsi...

  • Open Access English
    Authors: 
    Kurtulik, Matej; Manor, Assaf; Weill, Rafi; Rotschild, Carmel;
    Project: EC | ThforPV (638133)

    Photoluminescence (PL) is a light matter quantum interaction associated with the chemical potential of light formulated by the Generalized Planck's law. Without knowing the inherent temperature dependence of chemical potential, the Generalized Planck's law is insufficie...

  • Open Access English
    Authors: 
    Montasir Qasymeh; Hichem Eleuch;
    Publisher: IEEE

    We propose a novel approach for microwave and optical fields entanglement using an electrical capacitor loaded with graphene plasmonic waveguide. In the proposed scheme, a quantum microwave signal of frequency ωm drives the electrical capacitor, while an intensiv...

  • Open Access English
    Authors: 
    Agrawal, Akanksha; Kundu, Madhumita; Sahu, Abhishek; Saurabh, Saket; Tale, Prafullkumar;
    Project: EC | LOPRE (819416), EC | SYSTEMATICGRAPH (725978)

    A graph $H$ is {\em $p$-edge colorable} if there is a coloring $\psi: E(H) \rightarrow \{1,2,\dots,p\}$, such that for distinct $uv, vw \in E(H)$, we have $\psi(uv) \neq \psi(vw)$. The {\sc Maximum Edge-Colorable Subgraph} problem takes as input a graph $G$ and integers...

  • Publication . Preprint . Conference object . 2021
    Open Access English
    Authors: 
    Christoph Feichtenhofer; Haoqi Fan; Bo Xiong; Ross Girshick; Kaiming He;

    We present a large-scale study on unsupervised spatiotemporal representation learning from videos. With a unified perspective on four recent image-based frameworks, we study a simple objective that can easily generalize all these methods to space-time. Our objective enc...

  • Open Access English
    Authors: 
    Antonio Cutrona; Pierre-Henry Hanzard; Maxwell Rowley; Juan Sebastian Totero-Gongora; Marco Peccianti; Boris A. Malomed; Gian-Luca Oppo; Alessia Pasquazi;
    Publisher: Optical Society of America (OSA)
    Country: United Kingdom
    Project: EC | TeLSCombe (851758), UKRI | Industrial Pathway to Mic... (EP/S001018/1)

    We theoretically present a design of self-starting operation of microcombs based on laser-cavity solitons in a system composed of a micro-resonator nested in and coupled to an amplifying laser cavity. We demonstrate that it is possible to engineer the modulational-insta...

  • Open Access
    Authors: 
    Gil Rosen; Anat Lavie; Michal Yackobovitch-Gavan; Shlomo Almashanu; Meital Priel; Ariel Many; Yael Lebenthal; Avivit Brener;
    Publisher: Research Square Platform LLC

    Abstract Pregnancy and parturition reflect the complex interaction between physiologic conditions of the mother and her offspring, and fetal health characteristics may affect maternal health throughout pregnancy and delivery. We investigated the characteristics of the m...

  • Open Access English
    Authors: 
    Michele Ancona; Thomas Letendre;
    Publisher: HAL CCSD
    Country: France
    Project: ANR | UNIRANDOM (ANR-17-CE40-0008), ANR | SpInQS (ANR-17-CE40-0011)

    We study the number of real roots of a Kostlan random polynomial of degree $d$ in one variable. More generally, we are interested in the distribution of the counting measure of the set of real roots of such a polynomial. We compute the asymptotics of the central moments...