• Transitions between bursting modes in the integrated oscillator model for pancreatic β-cells 

  Marinelli I.; Vo T.; Gerardo-Giorda L.; Bertram R. (Journal of Theoretical Biology, 2018-06-20)

  Insulin-secreting $\beta$-cells of pancreatic islets of Langerhans produce bursts of electrical impulses, resulting in intracellular Ca$^{2+}$ oscillations and pulsatile insulin secretion. The mechanism for this bursting ...

• Regularity of fractional maximal functions through Fourier multipliers 

  Beltran D.; Ramos J. P.; Saari O. (2018)

  We prove endpoint bounds for derivatives of fractional maximal functions with either smooth convolution kernel or lacunary set of radii in dimensions $n \geq 2$. We also show that the spherical fractional maximal function ...

• Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds 

  Beltran D.; Hickman J.; Sogge C. D. (2018)

  The sharp Wolff-type decoupling estimates of Bourgain--Demeter are extended to the variable coefficient setting. These results are applied to obtain new sharp local smoothing estimates for wave equations on compact Riemannian ...

• Sparse bounds for pseudodifferential operators 

  Beltran D.; Cladek L. (Journal d'Analyse Mathématique, 2018)

  We prove sparse bounds for pseudodifferential operators associated to H\"ormander symbol classes. Our sparse bounds are sharp up to the endpoint and rely on a single scale analysis. As a consequence, we deduce a range of ...

• Spectral stability of Schrödinger operators with subordinated complex potentials 

  Fanelli L.; Krejcirik D.; Vega L. (Journal of Spectral Theory, 2018-06-28)

  We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing ...

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