Evolution of Concentration Under Lattice Spin-Flip Dynamics
Evolution of Concentration Under Lattice Spin-Flip Dynamics
Abstract We consider spin-flip dynamics of Ising lattice spin systems and study the time evolution of concentration inequalities. For “weakly interacting” dynamics we show that the Gaussian concentration bound is conserved in the course of time and it is satisfied by the unique stationary Gibbs measure. Next we show that, …