308 citations · 408 across the 26 of their papers we have counts for
31 papers
Spectral Theory of Krein-Feller Type Operators and Applications in Stochastic Fractional Elliptic and Parabolic Equations
Kelvin J. R. Almeida-Sousa, Alexandre B. Simas
It has been shown that the space , introduced in Simas and Sousa (Potential Analysis, 2025), is the natural regularity space for solutions of the eige…
One-sided measure theoretic elliptic operators and applications to SDEs driven by Gaussian white noise with atomic intensity
Alexandre B. Simas, Kelvin J. R. Sousa
We define the operator on the one-dimensional torus . Here, and are functions inducing (possibly atomic) positive Borel measures on $\math…
Hydrodynamic limit of the multi-component slow boundary WASEP with collisions
Oslenne Araújo, Patrícia Gonçalves, Alexandre B. Simas
In this article, we study the hydrodynamic limit for a stochastic interacting particle system whose dynamics consists in a superposition of several dynamics: the exclusion rule, th…
Markov properties of Gaussian random fields on compact metric graphs
David Bolin, Alexandre B. Simas, Jonas Wallin
There has recently been much interest in Gaussian fields on linear networks and, more generally, on compact metric graphs. One proposed strategy for defining such fields on a metri…
Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs
David Bolin, Mihály Kovács, Vivek Kumar +1
The fractional differential equation posed on a compact metric graph is considered, where and is a second-order elliptic operator equip…
Covariance-based rational approximations of fractional SPDEs for computationally efficient Bayesian inference
David Bolin, Alexandre B. Simas, Zhen Xiong
The stochastic partial differential equation (SPDE) approach is widely used for modeling large spatial datasets. It is based on representing a Gaussian random field on $\mathbb…