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math.CT2026
Joinings in Markov categories
Suddhasattwa Das, Tomoharu Suda
Dynamical systems theory primarily concerns the study of different forms of invariance, such as invariant sets, densities, measures, and observables. Ergodic systems are a special…
math.CT2025
Dynamical systems as enriched functors
Suddhasattwa Das, Tomoharu Suda
This article presents a general description of dynamical systems using the language of enriched functors and enriched natural transformations. This framework is essential to establ…
math.CT2025
The concept of null in general spaces and contexts
Suddhasattwa Das
The notions of null-sets and nullity are present in all discourses of mathematics. They are based on the dual-pair of notions of "almost-every" and "almost none". A notion of nulli…