Fig. 2. Box plots of plant height and leaf area of Amaranth accessions.

This is a consequence of a more general result on interacting particle systems that shows that a stationary measure is ergodic if and only if the sigma algebra of sets invariant

We solve by the continuity method the corresponding complex elliptic kth Hessian equation, more difficult to solve than the Calabi-Yau equation k m, under the assumption that

In [9], it was shown that under diffusive scaling, the random set of coalescing random walk paths with one walker starting from every point on the space-time lattice Z × Z converges

This paper develops a recursion formula for the conditional moments of the area under the absolute value of Brownian bridge given the local time at 0.. The method of power series

Shen, “A note on the existence and uniqueness of mild solutions to neutral stochastic partial functional differential equations with non-Lipschitz coefficients,” Computers

We show that formulae of Gessel for the generating functions for Young standard tableaux of height bounded by k (see [2]) satisfy linear differential equations, with

Tschinkel, Height zeta functions of toric bundles over flag varieties, Selecta Math. Tate, Fourier analysis in number fields, and Hecke’s zeta-functions, 1967 Algebraic Number

Here we shall supply proofs for the estimates of some relevant arithmetic functions that are well-known in the number field case but not necessarily so in our function field case..