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Random walks on quasi 1D lattices and biophysical applications

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Several stochastic processes modelling molecular motors on a linear track, as Markov random walks on quasi 1D lattices and random walks with non exponential waiting times, share a common regenerative structure and their mathematical investigation can be reduced to the study of a time changed sum of i.i.d. random vectors.

From the analysis of this abstract common structure, one can derive information on the asymptotic velocity, Gaussian fluctuations and large fluctuations for the original stochastic process.

In this talk I will present the above results and, concerning large fluctuations, I will discuss Gallavotti–Cohen–type symmetries for this model. This is a joint work with Alessandra Faggionato (La Sapienza, Rome).

This talk is part of the Cambridge Analysts' Knowledge Exchange (C.A.K.E.) series.

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