66 citations · 295 across the 23 of their papers we have counts for
5 papers · 1 filter
A categorical approach to open and interconnected dynamical systems
Brendan Fong, Paolo Rapisarda, Paweł Sobociński
We develop a sound and complete graphical theory for discrete linear time-invariant dynamical systems. The graphical syntax, as in previous work, is closely related to the classica…
A Compositional Framework for Markov Processes
John C. Baez, Brendan Fong, Blake S. Pollard
We define the concept of an "open" Markov process, or more precisely, continuous-time Markov chain, which is one where probability can flow in or out of certain states called "inpu…
Additive monotones for resource theories of parallel-combinable processes with discarding
Brendan Fong, Hugo Nava-Kopp
A partitioned process theory, as defined by Coecke, Fritz, and Spekkens, is a symmetric monoidal category together with an all-object-including symmetric monoidal subcategory. We t…
A Compositional Framework for Passive Linear Networks
John C. Baez, Brendan Fong
Passive linear networks are used in a wide variety of engineering applications, but the best studied are electrical circuits made of resistors, inductors and capacitors. We describ…
Decorated Cospans
Brendan Fong
Let be a category with finite colimits, writing its coproduct , and let be a braided monoidal category. We describe a method of producing a…