Тестирование показателей дисперсионного картирования на базе данных "The PTB Diagnostic ECG Database"

Work is devoted, studying in indicators of alternation of electrophysiological indicators of a myocardium according to a method dispersive mapping the electrocardiogram on a basis «The DIAGNOSTIC DATABASE of cardiogramme PTB» national Institute of Metrology of Germany. Obtained results shown perspectivity uses of dispersive method in distribution of group of a cardiovascular pathology and the acquisition of fibrous structure predicting ventricular fibrillation and ventricular tachycardia.Работа посвящена изучению электрофизиологических показателей миокарда по данным метода дисперсионного картирования ЭКГ при проведении тестирования на базе «THE PTB DIAGNOSTIC ECG DATABASE» национального Института метрологии Германии. Полученные данные исследования показали перспективность использования метода дисперсионного картирования в выделении группы сердечно-сосудистой патологии и прогнозирования фибрилляции желудочков и желудочковой тахикардии

On Kazhdan-Lusztig cells in type B

32 pagesWe prove that, for any choice of parameters, the Kazhdan-Lusztig cells of a Weyl group of type $B$ are unions of combinatorial cells (defined using the domino insertion algorithm)

Hecke algebras of finite type are cellular

Let \cH be the one-parameter Hecke algebra associated to a finite Weyl group $W$, defined over a ground ring in which ``bad'' primes for $W$ are invertible. Using deep properties of the Kazhdan--Lusztig basis of \cH and Lusztig's \ba-function, we show that \cH has a natural cellular structure in the sense of Graham and Lehrer. Thus, we obtain a general theory of ``Specht modules'' for Hecke algebras of finite type. Previously, a general cellular structure was only known to exist in types $A_n$ and $B_n$.Comment: 14 pages; added reference

Expansion in perfect groups

Let Ga be a subgroup of GL_d(Q) generated by a finite symmetric set S. For an integer q, denote by Ga_q the subgroup of Ga consisting of the elements that project to the unit element mod q. We prove that the Cayley graphs of Ga/Ga_q with respect to the generating set S form a family of expanders when q ranges over square-free integers with large prime divisors if and only if the connected component of the Zariski-closure of Ga is perfect.Comment: 62 pages, no figures, revision based on referee's comments: new ideas are explained in more details in the introduction, typos corrected, results and proofs unchange