A Rosetta Stone for information theory and differential equations

Authors : Alessandro SELVİTELLA

Pages : 45-64

Doi:10.33434/cams.448407

View : 17 | Download : 8

Publication Date : 2018-09-30

Article Type : Research Paper

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