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math.PR2026
On the Wasserstein distance between a hyperuniform point process and its mean
Raphael Butez, Sandrine Dallaporta, David GarcÃa-Zelada
We study the existence of bounds on the expected -Wasserstein distance between a random measure and its mean under the assumption that the -th centered moments of the countin…
math.PR2026
A matrix Burkholder-Davis-Gundy inequality
Tom Maître
We prove an inequality for the spectral norm of matrix valued stochastic integrals. This inequality can be seen either as a non-commutative version of the Burkholder-Davis-Gundy in…
math.PR2026
Thin-shell bounds via parallel coupling
Boaz Klartag, Joseph Lehec
We prove that for any log-concave random vector in with mean zero and identity covariance, where is a universa…