Author

Alexandre B. Simas

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Preprint Sep 2026

A bridge representation of Gaussian Whittle-Mat\'ern fields on compact metric graphs

Gaussian Whittle-Mat\'ern fields form a flexible class of Gaussian processes on compact metric graphs, where spatial dependence is governed by the geometry and connectivity of the network through a fractional-order stochastic partial differential equation. This paper develops a new bridge representation of these fields...

David Bolin, Alexandre B. Simas, Jonas Wallin · 0 citations

Preprint Oct 2026

Local asymptotic normality for spectral-tail likelihoods under fixed-domain sampling

We establish local asymptotic normality (LAN) for joint inference on scale and roughness in stationary Gaussian random fields observed on increasingly dense regular grids in a fixed domain. Scale and roughness are represented by the coefficient and decay exponent of the leading spectral tail. Under spectral regularity...

Alexandre B. Simas, Jonas Wallin · 0 citations