A Rosetta Stone for information theory and differential equations

In this paper, we propose a dictionary between Partial Differential Equations and Information Theory. As a model case, we will discuss in detail the example of the Schrödinger Equation and Shannon Information Theory. Comments will be made in both the continuous and discrete case and in both the nois...

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Bibliographic Details
Main Author: Alessandro Selvitella
Format: Article
Language:English
Published: Emrah Evren KARA 2018-09-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/544092
Description
Summary:In this paper, we propose a dictionary between Partial Differential Equations and Information Theory. As a model case, we will discuss in detail the example of the Schrödinger Equation and Shannon Information Theory. Comments will be made in both the continuous and discrete case and in both the noiseless and noisy case.
ISSN:2651-4001