3 papers
math.AP2025
Fractional and Integer Order Sobolev Spaces for Compact Metric Graphs
Elsiddig Awadelkarim, David Bolin, Alexandre B. Simas
Given a compact metric graph and the Laplacian coupled with standard (Kirchhoff) vertex conditions, solutions to fractional elliptic partial differential equations of the…
stat.CO2025
rSPDE: tools for statistical modeling using fractional SPDEs
David Bolin, Alexandre B. Simas
The R software package rSPDE contains methods for approximating Gaussian random fields based on fractional-order stochastic partial differential equations (SPDEs). A common example…
stat.ME2025
Log-Gaussian Cox Processes on General Metric Graphs
David Bolin, Damilya Saduakhas, Alexandre B. Simas
The modeling of spatial point processes has advanced considerably, yet extending these models to non-Euclidean domains, such as road networks, remains a challenging problem. We pro…