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Sparse bounds for the discrete spherical maximal functions
(2020)
We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proof is inspired by ones by Bourgain and ...
Uniform sparse bounds for discrete quadratic phase Hilbert transforms
(2017-09)
Consider the discrete quadratic phase Hilbert Transform acting on $\ell^{2}(\mathbb{Z})$ finitely supported
functions
$$
H^{\alpha} f(n) : = \sum_{m \neq 0} \frac{e^{i\alpha m^2} f(n - m)}{m}.
$$
We prove that, ...
Climate-based descriptive models of dengue fever: The 2002 epidemic in Colima, Mexico
(2006-06)
Dengue is a public health problem on the rise in many tropical regions and affects approximately 100 million people every year worldwide. In this paper, the authors retrospectively assess the association between five ...
On the approximation of a virtual coarse space for domain decomposition methods in two dimensions
(2018)
A new extension operator for a virtual coarse space is presented which can be used in domain decomposition methods for nodal elliptic problems in two dimensions. In particular, a two-level overlapping Schwarz algorithm is ...
Parallel Sums and Adaptive BDDC Deluxe
(2017)
There has recently been a considerable activity in developing adaptive methods for the selection of primal constraints for BDDC algorithms and, in particular, for BDDC deluxe variants. The primal constraints of a BDDC or ...
Sparse bounds for Bochner–Riesz multiplers
(2019)
The Bochner–Riesz multipliers are shown to satisfy a range of sparse bounds. The range of sparse bounds increases to the optimal range, as δ increases to the critical value, even assuming only partial information on the ...
A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains
(2015)
A bound is obtained for the condition number of a BDDC algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be uniform in the sense of Peter Jones. For the primal variable ...
Transmission dynamics of Dengue in Costa Rica: The role of hospitalizations
Dinámica de la transmisión de dengue en Costa Rica: El rol de las hospitalizaciones
(2019-12)
For decades, dengue virus has caused major problems for public health officials in tropical and subtropical countries around the world. We construct a compartmental model that includes the role of hospitalized individuals ...
A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
(2019-12-15)
We formulate an age-structured three-staged nonlinear partial differential equation model that features nonlinear recidivism to the infected (infectious) class from the temporarily recovered class. Equilibria are computed, ...