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  • Bilinear Calderón--Zygmund theory on product spaces 

    Li K.; Martikainen H.; Vuorinen E. (Journal des Math\'ematiques Pures et Appliqu\'ees, 2019-10)
    We develop a wide general theory of bilinear bi-parameter singular integrals $T$. This includes general Calder\'on--Zygmund type principles in the bilinear bi-parameter setting: easier bounds, like estimates in the Banach ...
  • Quantitative weighted estimates for Rubio de Francia's Littlewood--Paley square function 

    Garg R.; Roncal L.; Shrivastava S. (Journal of Geometric Analysis, 2019-12)
    We consider the Rubio de Francia's Littlewood--Paley square function associated with an arbitrary family of intervals in $\mathbb{R}$ with finite overlapping. Quantitative weighted estimates are obtained for this operator. ...
  • An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation 

    Rusconi S.; Dutykh D.; Zarnescu A.; Sokolovski D.; Akhmatskaya E. (Computer Physics Communications, 2020-02)
    In modelling of chemical, physical or biological systems it may occur that the coefficients, multiplying various terms in the equation of interest, differ greatly in magnitude, if a particular system of units is used. Such ...
  • Some geometric properties of Riemann’s non-differentiable function 

    Eceizabarrena D. (Comptes Rendus Mathematique, 2019-11-06)
    Riemann’s non-differentiable function is a celebrated example of a continuous but almost nowhere differentiable function. There is strong numeric evidence that one of its complex versions represents a geometric trajectory ...
  • Computing Multipersistence by Means of Spectral Systems 

    Guidolin A.; Divasón J.; Romero A.; Vaccarino F. (Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 2019-07-08)
    In their original setting, both spectral sequences and persistent homology are algebraic topology tools defined from filtrations of objects (e.g. topological spaces or simplicial complexes) indexed over the set Z of integer ...

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