Mike Pereira

Mike Pereira

Assistant professor (Enseignant-chercheur, Tenure track), Mines Paris - PSL

Stochastic models for spatio-temporal data on surfaces


This page contains supplementary materials to my application to the PSL Young researcher Starting Grant 2023.




Fig. 1.1: Simulation of the presence of sulfate in the Earth atmosphere (Courtesy of the NASA Global Modeling and Assimilation Office)





Fig. 2.1: Simulation a spatio-temporal diffusion SPDE on the sphere represented from three different viewpoints on the surface (t represents the time step, std-dev the standard deviation of the field value across the surface).




Advection potential on a cortical surface

(A) Advection potential function $\phi$.


(B) Numerical solution of the SPDE, without stabilization.


(C) Numerical solution of the SPDE, eith stabilization.

Fig. 4.1: Simulation of the spatio-temporal advection-diffusion SPDE on a cortical surface, represented from three different viewpoints on the surface (t represents the time step, std-dev the standard deviation of the field values across the surface).




Advection potential on the sphere

(A) Advection potential function $\phi$.


(B) Numerical solution of the SPDE.

Fig. 4.2: Simulation of the spatio-temporal advection-diffusion SPDE on the sphere, represented from three different viewpoints on the surface (t represents the time step, std-dev the standard deviation of the field values across the surface).