Speaker
Mr
Alexandre Guillet
(ICTP and LOMA)
Description
We derive exact expressions for the finite-time statistics of extrema (maximum and minimum) of the spatial displacement and the fluctuating entropy flow of continuous-time random walks describing the dynamics of molecular motors at the single-molecule level. Our results generalize the infimum law for entropy production and reveal a symmetry of the distribution of maxima and minima of stochastic entropy production, which are confirmed by numerical simulations of stochastic models of molecular motors. Finally we identify a timescale at which extreme-value distributions become universal, revealing a connection between extrema statistics and the Marcenko-Pastur law of random-matrix theory.
