Mathematical Models for Interacting Dynamics on Networks

A review of a work by L. Raymond: Sturmian Hamiltonians with a large coupling constant - periodic approximations and gap labels.- Compactness of linearized Boltzmann operators for polyatomic gases.- Discrete Boltzmann Equation for Anyons.- Action potential dynamics on heterogenous neural networks: from kinetic to macroscopic equations.- A space-dependent Boltzmann-BGK model for gas mixtures and its hydrodynamic limits.- A delayed model for tumor-immune system interactions.- Geometric optimization problem for vascular stents.- Journey Through the World of Dynamical Systems on Networks.- A Payne-Whitham model of urban traffic networks in the presence of traffic lights and its application to traffic optimisation.- A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity.- The virial theorem and the method of multipliers in spectral theory.- Well-posedness and long-term behaviour of buffered flows in infinite networks.- Numerical Study of the Higher-Order Maxwell-Stefan Model of Diffusion.- Fourth-order operators with unbounded coefficients in $L^1$ spaces.- Graph structure of the nodal set and bounds on the number of critical points of eigenfunctions on Riemannian manifolds.- Investigating dynamics and asymptotic trend to equilibrium in a reactive BGK model.- Polynomial Stability of a Coupled Wave-Heat Network.