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

(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 ﻿

(Colloquium Mathematicum, 2019-03-22)
• #### On the propagation of nonlinear transients of temperature and pore pressure in a thin porous boundary layer between two rocks. ﻿

(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 ﻿

(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 ...