Dynamical systems on random graphs
Dynamical models on random graphs are increasingly being used in applied sciences (e.g. computational neuroscience, development of search machines, investigation of percolation processes, social sciences etc.) as mathematical tools to study complex systems whose exact structure is too complicated to be known in detail.
On the other hand, differential equations on thin manifolds, metric
graphs and ramified structures (usually dubbed "quantum graphs") have
gained much popularity over the last years, in particular in view of
their applicability in the fields of quantum chaos and quantum
mechanics. Quantum graphs on random media have thus begun to be studied.
in recent years. While some of the mathematical methods and models are common, there seems to be no significant interactions between these two fields so far.
This interdisciplinary conference aims at bringing together scientists studying theoretical and applied aspects of discrete and continuous dynamical systems on random graphs and heterogeneous media - in particular in mathematical physics and systems biology.
The conference will comprise 4 sessions, each devoted to a different topic: random graphs and spectral theory, point models (e.g., neural networks or coupled ODEs), spatial models (e.g., quantum graphs or detailed neuron models) and complex networks.
We plan to allow a significant amount of time for interdisciplinary discussion.