4 papers · 1 filter
Clock systems for stochastic and non-deterministic categorical systems theories
Owen Lynch, David Jaz Myers, Eigil Fjeldgren Rischel +1
One of the characteristic features of categorical systems theory is that the behavior of systems can be characterized by certain morphisms into them. In other words, behaviors form…
Directories: A Convenient and Well-Behaved Formalism for Hierarchical Organization in Categorical Systems Theory
Owen Lynch, Markus Lohmayer
This paper introduces an inherently strict presentation of categories with products, coproducts, or symmetric monoidal products that is inspired by file systems and directories. Ra…
Organizing Physics with Open Energy-Driven Systems
Matteo Capucci, Owen Lynch, David I. Spivak
Organizing physics has been a long-standing preoccupation of applied category theory, going back at least to Lawvere. We contribute to this research thread by noticing that Hamilto…
Relational Composition of Physical Systems: A Categorical Approach
Owen Lynch
In this master's thesis, we rigorously develop two frameworks of relational composition of systems using tools from category theory. The first framework addresses port-Hamiltonian…