The main aim of this interdisciplinary Workshop is to bring together researchers from various disciplines for a deeper understanding of the dynamics of constrained expanding networks, in order to analyse, model & characterize both the small-scale and large-scale dynamics of expanding networks of interacting agents.
Versatile real-world and/or lab-scale benchmarking toy-models, with various applied constraints, should assess the relevance & robustness of the mathematical/statistical proposed modelings and computations, the expected emergence of an "optimal" (i.e. efficient) resilient design and guide real-world comprehension of the biologic, social, economic, physical, medical... on-going process.
Each researcher could handle the part of the project corresponding to its own scientific area, at minimal risk, but with limited impact and possibilities: the real added value of the Workshop hence lies in its interactive aspects, putting interdisciplinarity at the heart of the discussion.
Cristiano Ricci (Università degli Studi di Firenze)
Amandine Véber (École Polytechnique)
Organisers
Yves D'Angelo, Isabelle De Angelis & Rémi Catellier
Main sponsors
The event is mainly sponsored by the IDEX UCA JEDI :
Scientific context
How information or rumour evolve in social, digital or human networks, how fungi or plants invade a medium to search for nutrients, how pathogens spread over a population, how goods, materials and energy circulate through an economy, how tumors grow in humans, are questions that may seem to refer to quite unrelated problems.
However, their mathematical description, i.e. the structure and dynamics of the emerging properties and/or shape of the underlying continuous or discrete network, may rely on very similar models. These models, ranging from simple explanatory toy-models to more realistic approaches, depend on the local features of a large and possibly increasing number of time-evolving connected individuals, and of their interactions in spatially extended systems. Characterized by information, energy, and/or matter collection and transport, the expansion of such networks may also be hindered by internal or external constraints, able to significantly affect the observed results and patterns.
Parallel and interacting lab-scale experimental realizations with modeling & analysis of such dynamical processes within a multi-scale framework, where the various granularities of the system are to be considered, is a complex research field, requiring to involve many different disciplines.