4 problems

Let $L_0$ and $L_1$ be Lagrangian isotopic submanifolds, and let $K:L_1\rightsquigarrow L_0$ be a Lagrangian cobordism. Let $d(L_0,L_1)$ denote the minimal flux distance, defined b…

Let $\rho$ be the particle density, let $h$ be the critical density, let $\phi_{\pi(n)}(\rho;n)$ be the finite-$n$ flux in the zero-range model with parameter $\pi(n)$, and let…

Let $\rho$ be the particle density, let $h$ be the critical density, let $\phi(\rho;n)$ be the finite-$n$ typical flux, and let $\phi^*$ be the maximal-equilibrium-state flux. Let…

Let $\rho$ be the particle density, let $h$ be the critical density, and let $\phi^*$ denote the maximal-equilibrium-state flux. Consider TASEP-H with I-perturbations. High-density…