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We propose an abstract definition of convex spaces as sets where one can take convex combinations in a consistent way.
Postulates for the barycentric calculus
M. H. Stone · 1949
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On the quasivariety of convex subsets of affine spaces
Walter Neumann · 1970
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Convex structures and operational quantum mechanics
Stanley P. Gudder · 1973
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Monadic functors and convexity
Tadeusz Świrszcz · 1974
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A categorical approach to probability theory
Michèle Giry · 1982
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Lectures on the geometry of numbers
Carl Ludwig Siegel · 1989
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Introduction to toric varieties
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Masoud Khalkhali and Matilde Marcolli, editors · 2005
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Information processing in generalized probabilistic theories
Jonathan Barrett · 2006
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Convex spaces II: Properties and classification
Tobias Fritz
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Monadic functors and categories of convex sets
Tadeusz Świrszcz
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Eilenberg-Moore algebras for stochastic relations
Ernst-Erich Doberkat · 2006
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The category theoretic understanding of universal algebra: Lawvere theories and monads
Martin Hyland and John Power · 2007
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Bayesian networks and influence diagrams
Uffe B. Kjærulff and Anders L. Madsen · 2008
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Comment on the n n -Category Café, http://golem.ph.utexas.edu/category/2008/10/entropy_diversity_and_cardinal.html , 2008
Tom Leinster · 2008
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A presentation of the category of stochastic matrices
Tobias Fritz · 2009
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