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...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2018-09-01
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| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/544092 |
| _version_ | 1797294201497452544 |
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| author | Alessandro Selvitella |
| author_facet | Alessandro Selvitella |
| author_sort | Alessandro Selvitella |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-07T21:26:50Z |
| format | Article |
| id | doaj.art-57d2e14f331148e09bc271568ec1b463 |
| institution | Directory Open Access Journal |
| issn | 2651-4001 |
| language | English |
| last_indexed | 2024-03-07T21:26:50Z |
| publishDate | 2018-09-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj.art-57d2e14f331148e09bc271568ec1b4632024-02-27T04:36:36ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012018-09-0111456410.33434/cams.4484071225A Rosetta Stone for information theory and differential equationsAlessandro Selvitella0University of OttawaIn 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.https://dergipark.org.tr/tr/download/article-file/544092information theorypdesnyquist bit rateshannon capacitystrichartz estimatesstrichartz estimates |
| spellingShingle | Alessandro Selvitella A Rosetta Stone for information theory and differential equations Communications in Advanced Mathematical Sciences information theory pdes nyquist bit rate shannon capacity strichartz estimates strichartz estimates |
| title | A Rosetta Stone for information theory and differential equations |
| title_full | A Rosetta Stone for information theory and differential equations |
| title_fullStr | A Rosetta Stone for information theory and differential equations |
| title_full_unstemmed | A Rosetta Stone for information theory and differential equations |
| title_short | A Rosetta Stone for information theory and differential equations |
| title_sort | rosetta stone for information theory and differential equations |
| topic | information theory pdes nyquist bit rate shannon capacity strichartz estimates strichartz estimates |
| url | https://dergipark.org.tr/tr/download/article-file/544092 |
| work_keys_str_mv | AT alessandroselvitella arosettastoneforinformationtheoryanddifferentialequations AT alessandroselvitella rosettastoneforinformationtheoryanddifferentialequations |