Non Local problems: PDEs and stochastic processes, anomalous diffusions. PDEs with non-local boundary conditions, trace processes, anomalous behaviour near the boundary
Processes on Fractals: Motions on irregular domains (irregular boundaries, irregular interfaces), trap domains
Processes on Graphs: Motions on metric graphs, trap vertices, anomalous behaviour on vertices/edges, applications to traffic/data flow models
Processes on manifolds: Random Fields on manifolds, applications to cosmological data (CMB radiation)
Non Linear problems: Fractional logistic equation, epidemiological models, probabilistic models
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