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math.MG2026
The Brezis-Ekeland-Nayroles principle in metric spaces: time-continuous setting
Pierre-Cyril Aubin-Frankowski, Giacomo Enrico Sodini, Ulisse Stefanelli
Based on a variational characterization of the local slope of a functional, we extend the celebrated Brezis-Ekeland-Nayroles null-minimization principle to curves of maximal slope…
math.MG2025
The infimal convolution structure of the Hellinger-Kantorovich distance
Nicolò De Ponti, Giacomo Enrico Sodini, Luca Tamanini
We show that the Hellinger-Kantorovich distance can be expressed as the metric infimal convolution of the Hellinger and the Wasserstein distances, as conjectured by Liero, Mielke,…