• $A_1$ theory of weights for rough homogeneous singular integrals and commutators 

  Pérez C.; Rivera-Ríos I.; Roncal L. (Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V, 2019)

  Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $\BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega ...

• On the absolute divergence of Fourier series in the infinite dimensional torus 

  Fernández E.; Roncal L. (Colloquium Mathematicum, 2019-03-22)

  In this note we present some simple counterexamples, based on quadratic forms in infinitely many variables, showing that the implication $f\in C^{(\infty}(\mathbb{T}^\omega)\Longrightarrow\sum_{\bar{p}\in\mathbb{Z}^\inf ...

• Hypocoercivity of linear kinetic equations via Harris's Theorem 

  Cañizo J. A.; Cao C.; Evans J.; Yoldaş H. (Kinetic & Related Models, 2019-02-27)

  We study convergence to equilibrium of the linear relaxation Boltzmann (also known as linear BGK) and the linear Boltzmann equations either on the torus $(x,v) \in \mathbb{T}^d \times \mathbb{R}^d$ or on the whole ...

• On the propagation of nonlinear transients of temperature and pore pressure in a thin porous boundary layer between two rocks. 

  Salusti E.; Kanivetsky R.; Droghei R.; Garra R. (Journal of Hydrology, 2019)

  The dynamics of transients of fluid-rock temperature, pore pressure, pollutants in porous rocks are of vivid interest for fundamental problems in hydrological, volcanic, hydrocarbon systems, deep oil drilling. This can ...

• Modified Hamiltonian Monte Carlo for Bayesian Inference 

  Radivojevic T.; Akhmatskaya E. (Statistics and Computing, 2019-07-22)

  The Hamiltonian Monte Carlo (HMC) method has been recognized as a powerful sampling tool in computational statistics. We show that performance of HMC can be significantly improved by incorporating importance sampling and ...

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