Equilibrium measures for uniformly quasiregular dynamics

We establish the existence and fundamental properties of the equilibrium measure in uniformly quasiregular dynamics. We show that a uniformly quasiregular endomorphism $f$ of degree at least 2 on a closed Riemannian manifold admits an equilibrium measure $\mu_f$, which is balanced and invariant under $f$ and non-atomic, and whose support agrees with the Julia set of $f$. Furthermore we show that $f$ is strongly mixing with respect to the measure $\mu_f$. We also characterize the measure $\mu_f$ using an approximation property by iterated pullbacks of points under $f$ up to a set of exceptional initial points of Hausdorff dimension at most $n-1$. These dynamical mixing and approximation results are reminiscent of the Mattila-Rickman equidistribution theorem for quasiregular mappings. Our methods are based on the existence of an invariant measurable conformal structure due to Iwaniec and Martin and the \cA-harmonic potential theory.Comment: 17 page

Software development for an automated system for carrying out information security audit

One of the essential stages of the system management information security is audit of information security systems in accordance with state and industry standards. The aim of this work is the automation of a workplace of the employee of the Department of information security of banking organizations, with software development for the assessment of conformity of documents containing evidence of the Bank's activities in IB, in the framework of the standard and recommendations to the standard Central Bank of the Russian Federation (RF) STO BR IBBS 1.0-2014 and RS BR IBBS-2.0 (2) -2014. Presented in detail one of the modules of the system - an automated document library in the sphere of information security

Nonsteroidal antiinflammatory drugs and upper gastrointestinal hemorrhage in an urban hospital.

Aspirin and nonsteroidal antiinflammatory drugs have been implicated in the pathogenesis of gastrointestinal hemorrhage. To evaluate their impact on inpatients, charts from Temple University Hospital with a discharge ICD-9 code which included upper gastrointestinal hemorrhage during a one-year period were reviewed. Aspirin and/or nonaspirin nonsteroid antiinflammatory drug (NSAID) use was identified in 34 patients (19 daily users and 15 intermittent users). Sixty-seven patients who bled, but did not use these agents, served as controls. Daily NSAID users were older than intermittent users and controls (P \u3c 0.05). A higher frequency of bleeding ulcers was associated with NSAID use. Patients using NSAIDs spent more time in intensive care than controls (median 1 day vs 0 days). Daily users had a higher transfusion requirement (4 units) than non-users (0 units; P \u3c 0.05). This study suggests that NSAID use has a substantial impact on health care resource utilization in patients admitted to an urban hospital for upper gastrointestinal hemorrhage