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The main purpose of this paper is to exhibit the cutoff phenomenon, studied by Aldous and Diaconis [AD]. Let $Q^{* k}$ denote a transition kernel after k steps and π be a stationary measure. We have to find a critical value $k_{n}$ for which the total variation norm between $Q^{* k}$ and π stays very close to 1 for $k ≪ k_{n}$ , and falls rapidly to a value close to 0 for $k \geq k_{n}$ with a fall-off phase much shorter than $k_{n}$ . According to the work of Diaconis and Shahshahani [DS], one can naturally conjecture, for a conjugacy class with...

Polynomial identities of nil algebras of bounded index

Francesca Benanti, Vesselin Drensky (1999)

Bollettino dell'Unione Matematica Italiana

Lo scopo di questo lavoro è di dare una nuova descrizione del $T$ -ideale generato dalla nil-identità $x^{n} = 0$ come immagine omeomorfa della $n$ -esima potenza tensoriale simmetrica dell'algebra associativa libera $K 〈X〉$ su un campo $K$ di caratteristica $0$ . Come applicazione calcoliamo il carattere delle conseguenze multilineari di grado $\leq n + 2$ dell'identità $x^{n} = 0$ .

Displaying 1 – 11 of 11

$P$ -partitions and a multi-parameter Klyachko idempotent.

Parking functions of types A and B.

Partition identities with an application to group representation theory.

Partitions, q-Series and the Lusztig-Macdonald-Wall Conjectures.

Phénomène de cutoff pour certaines marches aléatoires sur le groupe symétrique

Polynomial identities of nil algebras of bounded index

Projective representations of generalized symmetric groups.

Projective representations of reflection groups

Projective representations of $S_{n}$ : ring structure and inductive formulae

Projective representations of the generalized symmetric groups

Projective resolutions of representations of GL (n).

Currently displaying 1 – 11 of 11