Blog posts on magnitude and diversity

This is a list of blog posts about magnitude, diversity, and closely related topics at the n-Category Café.

Some related posts have appeared on John Baez's blog Azimuth. I may add them here as well if I find the time to locate them all.

You may also be interested in the bibliography of publications about magnitude.

• Euler Characteristic of a Category, by David Corfield (11 October 2006)
• This Week's Finds in Mathematical Physics (Week 244), by John Baez (3 February 2007)
• Return of the Euler Characteristic of a Category, by David Corfield (9 July 2007)
• Metric Spaces, by Tom Leinster (9 February 2008)
• Entropy, Diversity and Cardinality (Part 1), by Tom Leinster (16 October 2008)
• Entropy, Diversity and Cardinality (Part 2), by Tom Leinster (7 November 2008)
• Asymptotics of the Magnitude of Metric Spaces, by Tom Leinster (13 August 2009)
• More Magnitude of Metric Spaces and Problems with Penguins, by Simon Willerton (10 October 2009)
• An Adventure in Analysis, by Tom Leinster (4 November 2009)
• Intrinsic Volumes and Weyl's Tube Formula, by Simon Willerton (12 March 2010)
• On the Magnitude of Spheres, Surfaces and Other Homogeneous Spaces, by Simon Willerton (21 April 2010)
• Magnitude of Metric Spaces: A Roundup, by Tom Leinster (8 January 2011)
• Möbius Inversion for Categories, by Tom Leinster (31 May 2011)
• The Magnitude of an Enriched Category, by Tom Leinster (13 June 2011)
• The Spread of a Metric Space, by Simon Willerton (5 September 2012)
• Mark on Magnitude, by Tom Leinster (21 March 2013)
• The Convex Magnitude Conjecture, by Tom Leinster (30 March 2013)
• Tutte Polynomials and Magnitude Functions, by Tom Leinster (16 April 2013)
• Whitney Twists, by Tom Leinster (7 July 2013)
• The Shannon Capacity of a Graph, 1, by Tom Leinster (10 August 2013)
• The Shannon Capacity of a Graph, 2, by Tom Leinster (18 August 2013)
• Four New Talks by Tom Leinster (12 November 2013)
• The Magnitude of a Graph, by Tom Leinster (22 January 2014)
• Weightings for Compact Metric Spaces, by Mark Meckes (30 January 2014)
• The Place of Diversity in Pure Mathematics, by Tom Leinster (20 July 2014)
• Effective Sample Size, by Tom Leinster (18 December 2014)
• A Scale-Dependent Notion of Dimension for Metric Spaces (Part 1), by Simon Willerton (11 March 2015)
• Five Quickies, by Tom Leinster (6 April 2015)
• Categorifying the Magnitude of a Graph, by Simon Willerton (13 May 2015)
• A Survey of Magnitude, by Tom Leinster (11 August 2016)
• Magnitude Homology, by Tom Leinster (6 September 2016)
• Barceló and Carbery on the Magnitude of Odd Balls, by Simon Willerton (9 September 2016)
• Functional Equations I: Cauchy's Equation, by Tom Leinster (7 February 2017)
• Functional Equations II: Shannon Entropy, by Tom Leinster (14 February 2017)
• Functional Equations III: Explaining Relative Entropy, by Tom Leinster (22 February 2017)
• Variance in a Metric Space, by Tom Leinster (26 February 2017)
• Functional Equations IV: A Simple Characterization of Relative Entropy, by Tom Leinster (28 February 2017)
• Functional Equations V: Expected Surprise, by Tom Leinster (8 March 2017)
• Functional Equations VI: Using Probability Theory to Solve Functional Equations, by Tom Leinster (15 March 2017)
• Functional Equations VII: The p-Norms, by Tom Leinster (22 March 2017)
• Functional Equations VIII: Measuring Biodiversity, by Tom Leinster (29 March 2017)
• Functional Equations IX: Entropy on a Metric Space, by Tom Leinster (5 April 2017)
• Value, by Tom Leinster (14 April 2017)
• The Diversity of a Metacommunity, by Tom Leinster (19 April 2017)
• Functional Equations, Entropy and Diversity: A Seminar Course, by Tom Leinster (19 April 2017)
• Instantaneous Dimension of Finite Metric Spaces via Magnitude and Spread, by Simon Willerton (5 August 2017)
• Magnitude Homology in Sapporo, by Tom Leinster (11 August 2017)
• Magnitude Homology is Hochschild Homology, by Mike Shulman (3 November 2017)
• Entropy Modulo a Prime, by Tom Leinster (14 December 2017)
• Entropy Modulo a Prime (Continued), by Tom Leinster (16 December 2017)
• On the Magnitude Function of Domains in Euclidean Space, I, by Heiko Gimperlein and Magnus Goffeng (10 January 2018)
• Magnitude Homology Reading Seminar, I, by Simon Willerton (19 March 2018)
• On the Magnitude Function of Domains in Euclidean Space, II, by Heiko Gimperlein and Magnus Goffeng (25 March 2018)
• Magnitude Homology Reading Seminar, II, by Simon Willerton (5 April 2018)
• Torsion: Graph Magnitude Homology Meets Combinatorial Topology, by Simon Willerton (11 April 2018)
• More Papers on Magnitude, by Simon Willerton (2 November 2018)
• Magnitude: A Bibliography, by Tom Leinster (15 November 2018)
• On the Magnitude Function of Domains in Euclidean Space, III: Questions and Examples from a Geometric Analyst's Perspective (a), by Heiko Gimperlein and Magnus Goffeng (23 January 2019)
• On the Magnitude Function of Domains in Euclidean Space, IV: Questions and Examples from a Geometric Analyst's Perspective (b), by Heiko Gimperlein and Magnus Goffeng (25 January 2019)
• Magnitude Workshop, Edinburgh, July 2019, by Tom Leinster (25 January 2019)
• How Much Work Can It Be To Add Some Things Up?, by Tom Leinster (10 March 2019)
• Entropy mod p, by Tom Leinster (21 March 2019)
• What Happened At The Magnitude Workshop, by Tom Leinster (14 July 2019)
• Online Magnitude Talk by Mark Meckes, by Simon Willerton (30 May 2020)
• Magnitude Homology of Enriched Categories and Metric Spaces, by Tom Leinster (17 November 2020)
• The Uniform Measure, by Tom Leinster (24 November 2020)
• Entropy and Diversity on the arXiv, by Emily Riehl (4 December 2020)
• Entropy and Diversity: The Axiomatic Approach, by Tom Leinster (4 December 2020)
• Entropy and Diversity Is Out!, by Tom Leinster (24 July 2021)
• Diversity and the Mysteries of Counting, by Tom Leinster (30 July 2021)
• Stefan Forcey on Entropy and Diversity, by Tom Leinster (23 September 2021)
• What is the Uniform Distribution?, by Tom Leinster (20 October 2021)
• Spaces of Extremal Magnitude, by Tom Leinster (28 December 2021)
• The Magnitude of Information, by Heiko Gimperlein, Magnus Goffeng and Nikoletta Louca (17 May 2022)
• Two Talks on Measuring Diversity, by Tom Leinster (11 October 2022)
• Eulerian Magnitude Homology, by Giuliamaria Menara (12 April 2023)
• Classification of Metric Fibrations, by Yasuhiko Asao (23 November 2023)
• Magnitude 2023, by Tom Leinster (4 December 2023)
• 100 Papers on Magnitude, by Tom Leinster (14 June 2024)
• Magnitude Homology Equivalence, by Tom Leinster (18 June 2024)