Sürekli olmayan dinamiğin Lagrange formülasyonu eşlenmiş Lie gruplar üzerinde çalışılmıştır. Sonuç olarak, karşılıklı etkileşim altındaki kesikli iki sistemin dinamiğini tarif eden fark denklemleri elde edilmiştir. Özel olarak da, bir grubunun teğet grubu üzerindeki ifade Elde edilen sonuçlar, Heisenberg kopyası üzerine bina özelinde çalışılmış, ve matris formunda yazılmıştır.

We consider a two-sided Pompeiu type problem for discrete group G G . give necessary and sufficient conditions finite subset K"> <mml:mi...

We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.

The intractability of the traditional discrete logarithm problem (DLP) forms the basis for the design of numerous cryptographic primitives. In [2] M. Sramka et al. generalize the DLP to arbitrary finite groups. One of the reasons mentioned for this generalization is P. Shor’s quantum algorithm [4] which solves efficiently the traditional DLP. The DLP for a nonabelian group is based on a particu...

Motivated by his study of 2nd order differential equations a(z)w" + b(z)W + c(z)w = 0 Poincaré (1882) unveiled the vast subject of discrete subgroups of conformai transformations, (z -»(az + b)/(cz + d)}9 their associated Riemann surfaces, and the intricacies of the limit set—Cantor sets, nowhere differentiable curves, etc. In this paper we discuss an interplay between discrete conformai groups...

A study is presented of fully discretized lattice equations associated with the KdV hierarchy. Loop group methods give a systematic way of constructing discretizations of the equations in the hierarchy. The lattice KdV system of Nijhoff et al. arises from the lowest order discretization of the trivial, lowest order equation in the hierarchy, bt = bx. Two new discretizations are also given, the ...