- Communications in Advanced Mathematical Sciences
- Vol: 1 Issue: 1
- A Rosetta Stone for information theory and differential equations
A Rosetta Stone for information theory and differential equations
Authors : Alessandro Selvitella
Pages : 45-64
Doi:10.33434/cams.448407
View : 9 | Download : 6
Publication Date : 2018-09-30
Article Type : Research
Abstract :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.Keywords : Information Theory, PDEs, Nyquist Bit Rate, Shannon Capacity, Strichartz Estimates, Strichartz Estimates