Status  Confirmed 
Seminar Series  SEMLPTMC 
Subjects  condmat.meshall 
Date  Monday 1 October 2018 
Time  10:45 
Institute  LPTMC 
Seminar Room  Jussieu tower 1213 room 523 
Speaker's Last Name  Behr 
Speaker's First Name  Nicolas 
Speaker's Email Address  nicolas [dot] behr [at] irif [dot] fr 
Speaker's Institution  IRIF (ParisDiderot) & LPTMC (Sorbonne Université) 
Title  Stochastic Mechanics of Graph Rewriting Systems for Physicists 
Abstract  Consider a statistical system evolving on a state space of graphical structures, such as e.g. a social network system. Given a set of transitions on such a system, where each transition consists of a local transformation pattern applied at random to the system's state (e.g. adding a new edge, deleting an edge,...), one may define a continuoustime Markov chain in order to study the stochastic evolution of the system. Our novel approach to this problem involves an extension of Doi's description of chemical reaction systems in terms of boson creation and annihilation operators (which later evolved into the DoiPeliti formalism) to a general stochastic mechanics framework based on the idea of socalled rule algebras. Assuming no prior familiarity with the underlying concept of graph rewriting and related mathematics, I will give an introduction to the formalism and present a number of application examples. 
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