表紙１＆４（ＰＤＦ作成用）／ＹＤＴＺ１５３Ａ

A quick review of mixed Hodge modules and vanishing cycle functors is given in Section 2, which also contains the definition of spectral pairs and their basic proper- ties.. The

Nor even stronger condition a > r, that according to Theo- rem 3.1 guarantees existence of a stable equilibria, does not guarantee asymptotic tending towards one of the stable

Standard domino tableaux have already been considered by many authors [33], [6], [34], [8], [1], but, to the best of our knowledge, the expression of the

In [1, 2, 17], following the same strategy of [12], the authors showed a direct Carleman estimate for the backward adjoint system of the population model (1.1) and deduced its

Thus, in Section 5, we show in Theorem 5.1 that, in case of even dimension d > 2 of a quadric the bundle of endomorphisms of each indecomposable component of the Swan bundle

On the other hand, given a period 0 of length P, we associate a cycle to it, as explained in the proof of Theorem 3.1, using Lemma 4.2.. Since, by the same lemma, the cycle

Using symmetric function theory, we study the cycle structure and increasing subsequence structure of permutations after iterations of various shuffling methods.. We emphasize the

In order to prove these theorems, we need rather technical results on local uniqueness and nonuniqueness (and existence, as well) of solutions to the initial value problem for