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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2012.02113 |
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| _version_ | 1866910725852626944 |
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| author | Leinster, Tom |
| author_facet | Leinster, Tom |
| contents | This book brings new mathematical rigour to the ongoing vigorous debate on how to quantify biological diversity. The question "what is diversity?" has surprising mathematical depth, and breadth too: this book involves parts of mathematics ranging from information theory, functional equations and probability theory to category theory, geometric measure theory and number theory. It applies the power of the axiomatic method to a biological problem of pressing concern, but the new concepts and theorems are also motivated from a purely mathematical perspective.
The main narrative thread requires no more than an undergraduate course in analysis. No familiarity with entropy or diversity is assumed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_02113 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Entropy and Diversity: The Axiomatic Approach Leinster, Tom Populations and Evolution Information Theory Classical Analysis and ODEs Category Theory Quantitative Methods 92B99, 94A17, 39B99, 26E60, 18D50 This book brings new mathematical rigour to the ongoing vigorous debate on how to quantify biological diversity. The question "what is diversity?" has surprising mathematical depth, and breadth too: this book involves parts of mathematics ranging from information theory, functional equations and probability theory to category theory, geometric measure theory and number theory. It applies the power of the axiomatic method to a biological problem of pressing concern, but the new concepts and theorems are also motivated from a purely mathematical perspective. The main narrative thread requires no more than an undergraduate course in analysis. No familiarity with entropy or diversity is assumed. |
| title | Entropy and Diversity: The Axiomatic Approach |
| topic | Populations and Evolution Information Theory Classical Analysis and ODEs Category Theory Quantitative Methods 92B99, 94A17, 39B99, 26E60, 18D50 |
| url | https://arxiv.org/abs/2012.02113 |