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By considering the trace form in two different integral bases of the number ring we get a factorization of this matrix which immediately yields the well-known zeroth and first
In this paper, we find an explicit formula for the generating function for the number of partitions of [ n ] with exactly k blocks according to the number of peaks (valleys) in terms
Bidaut-V´ eron M.-F., Initial blow-up for the solutions of a semilinear parabolic equation with source term, Equations aux d´ eriv´ ees partielles et applications, articles d´ edi´ es
In the present work, a version of the above problem is going to be considered, where the set S will be the set of all convex combinations of real or complex polynomials which are
If a pattern A allows every possible refined inertia, then A is a refined inertially arbitrary pattern (rIAP), and this notion is defined analogously for sign patterns.. The reversal
We study the dynamics of a certain discrete model of interacting interlaced particles that comes from the so called shuffling algorithm for sampling a random tiling of an
Moreover, we show that the resulting stochastic integral satisfies a change of variable formula with a correction term that is an ordinary Itô integral with respect to a Brownian
The notions of convexity and convex polytopes are in- troduced in the setting of tropical geometry.. Combinatorial types of tropical polytopes are shown to be in bijection with
