Let Un denote the group of n× n unipotent upper-triangular matrices over a fixed finite field Fq , and let UP denote the pattern subgroup of Un corresponding to the poset P . This work examines the superclasses and supercharacters, as defined by Diaconis and Isaacs, of the family of normal pattern subgroups of Un. After classifying all such subgroups, we describe an indexing set for their super...

In this paper, we generalize the concept of unbounded norm (un) convergence: let X be a normed lattice and Y a vector lattice such that X is an order dense ideal in Y ; we say that a net (yα) un-converges to y in Y with respect to X if ∥∥|yα−y|∧x∥∥→ 0 for every x ∈ X+. We extend several known results about unconvergence and un-topology to this new setting. We consider the special case when Y is...

Let p be a prime and let a and b be integers modulo p. The inversive congruential generator (ICG) is a sequence (un) of pseudorandom numbers defined by the relation un+1 ≡ au−1 n + b mod p. We show that if b and sufficiently many of the most significant bits of three consecutive values un of the ICG are given, one can recover in polynomial time the initial value u0 (even in the case where the c...

vu que les conditions actuelles du monde nécessitent l’unicité des cultures et des sociétés humaines et sollicitent une ferme relation entre les différentes civilisations, pour mieux pouvoir se communiquer et se comprendre les uns et les autres, il nous est  fort utile de trouver un langage commun qui ne pourrait être que le langage du cœur. c’est d’ailleurs ce langage qui nous a guidés vers un...

— We study a nonlinear Neumann boundary value problem associated to a nonhomogeneous differential operator. Taking into account the competition between the nonlinearity and the bifurcation parameter, we establish sufficient conditions for the existence of nontrivial solutions in a related Orlicz–Sobolev space. Résumé. — On étudie un problème aux limites de Neumann associé à un opérateur différe...

Résumé. Un graphe étant un ensemble d’objets liés par une certaine relation typée, le problème de "modularisation" des grands graphes (qui revient à leur partitionnement en classes) peut, alors, être modélisé mathématiquement via l’Analyse Relationnelle. Cette modélisation permet de comparer sur les mêmes bases un certain nombre de critères de découpage de graphe c’est-à-dire de modularisation....

we study topological von neumann regularity and principal von neumann regularity of banach algebras. our main objective is comparing these two types of banach algebras and some other known banach algebras with one another. in particular, we show that the class of topologically von neumann regular banach algebras contains all $c^*$-algebras, group algebras of compact abelian groups and cer...

systemic risk is the risk of collapse in the financial system. due to the financial crisis that hit the world economy in 2008, the study of systemic risk in the banking sector became more attractive for researchers. in this research we study systemic risk in the iranian banking sector by using a famous systemic risk measure, the ∆covar. to compute the measure, we employ dynamic conditional corr...