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Autori principali: Ivkovic, Iván, Rásonyi, Miklós
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2506.16088
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author Ivkovic, Iván
Rásonyi, Miklós
author_facet Ivkovic, Iván
Rásonyi, Miklós
contents We study the weighted total variation distance between probability measures. Using Fourier-analytic tools, we present estimates in terms of Wasserstein distances between the respective probabilities, under appropriate smoothness and moment conditions. We apply our results to convergence of functionals in Malliavin calculus.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16088
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rate estimates for weighted total variation norm in terms of Wasserstein distances
Ivkovic, Iván
Rásonyi, Miklós
Probability
Classical Analysis and ODEs
We study the weighted total variation distance between probability measures. Using Fourier-analytic tools, we present estimates in terms of Wasserstein distances between the respective probabilities, under appropriate smoothness and moment conditions. We apply our results to convergence of functionals in Malliavin calculus.
title Rate estimates for weighted total variation norm in terms of Wasserstein distances
topic Probability
Classical Analysis and ODEs
url https://arxiv.org/abs/2506.16088