3 problems

Let a stochastic process be described in Cartesian coordinates and transformed into three different coordinate frames, including the comoving frame. A stochastic dynamics is Markov…

Transition conjecture. As $v_0$ increases beyond $\frac{\kappa}{N}$, there is a transition to a set of $N_+!$...

Let $\rho$ denote the density, $u$ the macroscopic orientation field, and let $P_{u^\bot}$ be the orthogonal projection onto the subspace perpendicular to $u$. In the displayed cla…