Publication

Analysis of Coupled Scalar Systems by Displacement Convexity

Rüdiger Urbanke, Nicolas Macris, Rafah El-Khatib
2014
Conference Papers

Abstract

Potential functionals have been introduced recently as an important tool for the analysis of coupled scalar systems (e.g. density evolution equations). In this contribution we investigate interesting properties of this potential. Using the tool of displacement convexity we show that, under mild assumptions on the system, the potential functional is displacement convex. Furthermore, we give the conditions on the system such that the potential is strictly displacement convex in which case the minimizer is unique.

Official source

https://infoscience.epfl.ch/entities/publication/1ff3dbe3-3fd1-40ef-8f53-e5af9a52f9bb

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Analysis of Coupled Scalar Systems by Displacement Convexity

Chat with Graph Search

Collimation simulations for the FCC-ee

Development and clinical validation of computational imaging biomarkers for neurodegenerative diseases

From low-rank retractions to dynamical low-rank approximation and back