activity
20072025
most citedThe Connectivity Order of Links

4 citations · 7 across the 11 of their papers we have counts for

collaborators

11 papers

math.GN2025

A Brunnian Theorem for Finite Families of Random Variables

Stéphane Dugowson

In 2014, during a study on the connectivity structures of quantum entanglement, I specifically introduced the notion of ''the connectivity structure of a family of random variables…

math.CT2020

Interacting open dynamics

Stéphane Dugowson

This paper presents the basic concepts of a systemic theory of interaction between non-deterministic open dynamics with varying temporalities, which includes three stages: the defi…

math.DS2018

A Lax Functorial Definition of Open Dynamics

Stéphane Dugowson

This paper provides a rewording in the language of lax-functors of the definition of open dynamics given in our systemic theory of interactivity exposed in previous papers.

math.GN2018

Toposes of connectivity spaces. Morita equivalences with topological spaces and partially ordered sets in the finite case

Stéphane Dugowson

This paper has two parts. First, we recall and detail the definition of the Grothendieck topos of a connectivity space, that is the topos of sheaves on such a space. In the second…

math.DS2016

Interacting Dynamics

Stéphane Dugowson

The "theory of open sub-functorial dynamics" is a new theory that defines interacting generalized dynamical systems. The interactions between these dynamics produce new dynamics wh…

math.DS2015

Open sub-categorical dynamics in interaction

Stéphane Dugowson

The aim of this paper is to define what we call open sub-categorical dynamics, their interactions and the sub-categorical dynamics produced by those interactions, thanks to the sta…