A Rosetta Stone for information theory and differential equations

Alessandro Selvitella

doi:10.33434/cams.448407

EN

A Rosetta Stone for information theory and differential equations

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

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Alessandro Selvitella ^*
Canada

Publication Date

September 30, 2018

Submission Date

July 27, 2018

Acceptance Date

September 16, 2018

Published in Issue

Year 2018 Volume: 1 Number: 1

DOI

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

IZ

https://izlik.org/JA98DY99LU

APA

Selvitella, A. (2018). A Rosetta Stone for information theory and differential equations. Communications in Advanced Mathematical Sciences, 1(1), 45-64. https://doi.org/10.33434/cams.448407

AMA

1.Selvitella A. A Rosetta Stone for information theory and differential equations. Communications in Advanced Mathematical Sciences. 2018;1(1):45-64. doi:10.33434/cams.448407

Chicago

Selvitella, Alessandro. 2018. “A Rosetta Stone for Information Theory and Differential Equations”. Communications in Advanced Mathematical Sciences 1 (1): 45-64. https://doi.org/10.33434/cams.448407.

EndNote

Selvitella A (September 1, 2018) A Rosetta Stone for information theory and differential equations. Communications in Advanced Mathematical Sciences 1 1 45–64.

IEEE

[1]A. Selvitella, “A Rosetta Stone for information theory and differential equations”, Communications in Advanced Mathematical Sciences, vol. 1, no. 1, pp. 45–64, Sept. 2018, doi: 10.33434/cams.448407.

ISNAD

Selvitella, Alessandro. “A Rosetta Stone for Information Theory and Differential Equations”. Communications in Advanced Mathematical Sciences 1/1 (September 1, 2018): 45-64. https://doi.org/10.33434/cams.448407.

JAMA

1.Selvitella A. A Rosetta Stone for information theory and differential equations. Communications in Advanced Mathematical Sciences. 2018;1:45–64.

MLA

Selvitella, Alessandro. “A Rosetta Stone for Information Theory and Differential Equations”. Communications in Advanced Mathematical Sciences, vol. 1, no. 1, Sept. 2018, pp. 45-64, doi:10.33434/cams.448407.

Vancouver

1.Alessandro Selvitella. A Rosetta Stone for information theory and differential equations. Communications in Advanced Mathematical Sciences. 2018 Sep. 1;1(1):45-64. doi:10.33434/cams.448407

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A Rosetta Stone for information theory and differential equations

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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