​Izaak Neri PhD.

My two main topics of research are:

 

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Spectra of infinitely large graphs and its applications: Neural networks and social networks are two examples of large complex systems defined on directed graphs. It is interesting to understand how their network structure relates to their dynamical properties, for example, how brain architecture relates to the observed dynamical responses. To this aim, I study the eigenvalues and eigenvectors of large, random, directed graphs and use their properties to characterise the dynamics of complex systems defined on large directed graphs.

 

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Nonequilibrium stochastic thermodynamics:  The focus of this research is to identify generic principles for systems that are driven away far from thermal equilibrium and are fluctuating.   Examples are molecular motors, enzymes, small electronic devices, etc.  My recent interests are in a universal tradeoff between speed, fluctuations, and dissipation that underlies nonequilibrium processes.   

Currently, I am based in the Disordered Systems Group of the Mathematics Department of King's College London.