The acceleration statistics of sheared and rotating homogeneous turbulence are studied using direct numerical simulation results. The statistical properties of Lagrangian and Eulerian accelerations are considered together with the influence of the rotation to shear ratio, as well as the scale dependence of their statistics. The probability density functions (pdfs) of both Lagrangian and Euleria...

Abstract Remixed Eulerian numbers are a polynomial q -deformation of Postnikov’s mixed numbers. They arose naturally in previous work by the authors concerning permutahedral variety and subsume well-known families polynomials such as -binomial coefficients Garsia–Remmel’s -hit We study their combinatorics more depth. As , they shown to be symmetric unimodal. By interpreting them computing succe...

Consider a search game with an immobile hider in a graph. A Chinese postman tour is a closed trajectory which visits all the points of the graph and has minimal length. We show that encircling the Chinese postman tour in a random direction is an optimal search strategy if and only if the graph is weakly Eulerian (i.e it consists of several Eulerian curves connected in a tree-like structure).