Christian Y. Robert

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math.PR2026

Limit theorems for squared increment sums of the maximum of two isotropic fractional Brownian fields under fixed-domain asymptotics

Nicolas Chenavier, Christian Y. Robert

We study squared increment sums of the pointwise maximum of two independent and identically distributed isotropic fractional Brownian fields over a fixed two-dimensional domain. Th…

math.PR2026

Central limit theorems for squared increment sums of fractional Brownian fields based on a Delaunay triangulation in $2 D$

Nicolas Chenavier, Christian Y. Robert

An isotropic fractional Brownian field (with Hurst parameter $H < 1/2$ ) is observed in a family of points in the unit square $C = (- 1/2, 1/2]^{2}$ % . These points are assumed t…

Limit theorems for squared increment sums of the maximum of two isotropic fractional Brownian fields under fixed-domain asymptotics

Central limit theorems for squared increment sums of fractional Brownian fields based on a Delaunay triangulation in 2D

Central limit theorems for squared increment sums of fractional Brownian fields based on a Delaunay triangulation in $2 D$