OPPORTUNITIES FOR USING DIGITAL DATA IN EVIDENCE FOR CRIMINAL CASES

The purpose of the study is to determine the reasons that hinder the development of digital elements in evidence in criminal proceedings and detect opportunities for their broader introduction. The authors investigate the current status of the introduction of elements of digitalization in the handling of evidence in criminal proceedings in the Russian Federation. The study explores the positive experience of countries that have greatly succeeded in the promotion of digital data in the handling of evidence and the evidentiary process. The authors disclose opportunities to extrapolate positive international experience in the digitalization of the evidentiary sphere to the Russian judicial system. It is concluded that the traditional formalization of criminal proceedings, including the evidentiary process, is greatly complicating the introduction of digital technology today. In particular, specific legal solutions are proposed to allow for the digitalization of the evidentiary proces

Cosmological solutions in Einstein-Gauss-Bonnet gravity with static curved extra dimensions

In this paper we perform systematic investigation of all possible solutions with static compact extra dimensions and expanding three-dimensional subspace (``our Universe''). Unlike previous papers, we consider extra-dimensional subspace to be constant-curvature manifold with both signs of spatial curvature. We provide a scheme how to build solutions in all possible number of extra dimensions and perform stability analysis for the solutions found. Our study suggests that the solutions with negative spatial curvature of extra dimensions are always stable while those with positive curvature are stable for a narrow range of the parameters and the width of this range shrinks with growth of the number of extra dimensions. This explains why in the previous papers we detected compactification in the case of negative curvature but the case of positive curvature remained undiscovered. Another interesting feature which distinguish cases with positive and negative curvatures is that the latter do not coexist with maximally-symmetric solutions (leading to ``geometric frustration'' of a sort) while the former could -- this difference is noted and discussed.Comment: 27 pages, 8 figure

Dynamics of some piecewise smooth Fermi-Ulam Models

We find a normal form which describes the high energy dynamics of a class of piecewise smooth Fermi-Ulam ping pong models; depending on the value of a single real parameter, the dynamics can be either hyperbolic or elliptic. In the first case we prove that the set of orbits undergoing Fermi acceleration has zero measure but full Hausdorff dimension. We also show that for almost every orbit the energy eventually falls below a fixed threshold. In the second case we prove that, generically, we have stable periodic orbits for arbitrarily high energies, and that the set of Fermi accelerating orbits may have infinite measure.Comment: 22 pages, 4 figure