2 citations · 3 across the 15 of their papers we have counts for
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Double Categories of Open Systems: the Cospan Approach
John C. Baez
This is an overview of double categories of "open systems": systems that can interact with their environment. We focus on the variable sharing paradigm, where we compose open syste…
Motifs and Emergent Feedback in Labeled Graphs
John C. Baez, Adittya Chaudhuri
In fields ranging from business to systems biology, directed graphs with edges labeled by signs are used to model systems in a simple way: the nodes represent entities of some sort…
Dirichlet Species and Arithmetic Zeta Functions
John C. Baez
Though Joyal's species are known to categorify generating functions in enumerative combinatorics, they also categorify zeta functions in algebraic geometry. The reason is that any…
Groupoid Cardinality and Random Permutations
John C. Baez
If we treat the symmetric group as a probability measure space where each element has measure , then the number of cycles in a permutation becomes a random variable. Th…
2-Rig Extensions and the Splitting Principle
John C. Baez, Joe Moeller, Todd Trimble
Classically, the splitting principle says how to pull back a vector bundle in such a way that it splits into line bundles and the pullback map induces an injection on -theory. H…
Isbell Duality
John C. Baez
Mathematicians love dualities. After a brief explanation of dualities, with examples, we turn to one of the purest and most beautiful: Isbell duality. For any category …
Network Models
John C. Baez, John Foley, Joe Moeller +1
Networks can be combined in various ways, such as overlaying one on top of another or setting two side by side. We introduce "network models" to encode these ways of combining netw…