Abstract aspects of asymptotic analysis

Asymptotic aspects of Cayley graphs

Arising from complete Cayley graphs Γn of odd cyclic groups Zn, an asymptotic approach is presented on connected labeled graphs whose vertices are labeled via equallymulticolored copies of K4 in Γn with adjacency of any two such vertices whenever they are represented by copies of K4 in Γn sharing two equally-multicolored triangles. In fact, these connected labeled graphs are shown to form a fam...

Computational Aspects of Abstract Argumentation

This work is in the context of formal argumentation, a sub-field of Artificial Intelligence. Probably the most popular formalism in argumentation is abstract argumentation as introduced by Dung [42]. So called abstract argumentation frameworks abstract from the actual content of arguments and represent them as abstract entities and further abstract from the reasons of conflicts between argument...

Asymptotic almost-equivalence of abstract evolution systems ⋆

We study the asymptotic behavior of almost-orbits of abstract evolution systems in Banach spaces with or without a Lipschitz assumption. In particular, we establish convergence, convergence in average and almost-convergence of almost-orbits both for the weak and the strong topologies based on the behavior of the orbits. We also analyze the set of almost-stationary points.

Combinatorial Aspects of Abstract Young Representations ( Extended Abstract )

The goal of this paper is to give a new unified axiomatic approach to the representation theory of Coxeter groups and their Hecke algebras. Building upon fundamental works by Young and KazhdanLusztig, followed by Vershik and Ram, we propose a direct combinatorial construction, avoiding a priori use of external concepts (such as Young tableaux). This is carried out by a natural assumption on the...

Some Aspects of Geometric Tolerancing (extended Abstract)