On Sudakov's Type Decomposition of Transference Plans with Norm Costs

Author : Sara Daneri,Stefano Bianchini

Paperback

Published : Friday 30 March 2018

ISBN : 9781470427665

Price : €79.56

Description

The authors consider the original strategy proposed by Sudakov for solving the Monge transportation problem with norm cost $|\cdot|_ D^* $$\min \bigg\ \int |\mathtt T(x) - x|_ D^* d\mu(x), \ \mathtt T : \mathbb R ^d \to \mathbb R ^d, \ \nu = \mathtt T_\# \mu \bigg\ ,$ with $\mu$, $\nu$ probability measures in $\mathbb R ^d$ and $\mu$ absolutely continuous w.r.t. $\mathcal L ^d$.

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