A Rosetta Stone for information theory and differential equations

Year 2018, Volume: 1 Issue: 1, 45 - 64, 30.09.2018

Alessandro SELVİTELLA

https://doi.org/10.33434/cams.448407

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

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