3 problems

Consider a zero-range process on $L$ vertices with inhomogeneous rates … where $\lambda_x\in[a_1,a_2]$ for constants $0<a_1<a_2<\infty$, and where $c(\cdot)$ satisfies (H.1) and (H…

Let the Boltzmann equation describe the evolution of a particle distribution, and let the entropy dissipation denote the dissipation functional associated with its entropy along th…

Consider an inhomogeneous zero-range process with $n$ sites, rate functions $r_i$, particle number $m$, and site weights $p=(1/n,\ldots,1/n)$. Assume that there are constants…