Systematic treatment of non-linear effects in Baryon Acoustic Oscillations

In this contribution we will discuss the non-linear effects in the baryon acoustic oscillations and present a systematic and controllable way to account for them within time-sliced perturbation theory.Comment: 8 pages, 5 figures; to appear in the Proceedings of the 19th International Seminar on High Energy Physics QUARKS-2016, Pushkin, Russia, 29 May - 4 June, 201

EERTREE: An Efficient Data Structure for Processing Palindromes in Strings

We propose a new linear-size data structure which provides a fast access to all palindromic substrings of a string or a set of strings. This structure inherits some ideas from the construction of both the suffix trie and suffix tree. Using this structure, we present simple and efficient solutions for a number of problems involving palindromes.Comment: 21 pages, 2 figures. Accepted to IWOCA 201

Chiral anomaly in Dirac semimetals due to dislocations

The dislocation in Dirac semimetal carries an emergent magnetic flux parallel to the dislocation axis. We show that due to the emergent magnetic field the dislocation accommodates a single fermion massless mode of the corresponding low-energy one-particle Hamiltonian. The mode is propagating along the dislocation with its spin directed parallel to the dislocation axis. In agreement with the chiral anomaly observed in Dirac semimetals, an external electric field results in the spectral flow of the one-particle Hamiltonian, in pumping of the fermionic quasiparticles out from the vacuum, and in creating a nonzero axial (chiral) charge in the vicinity of the dislocation.Comment: 21 pages, 3 figure

Evolution is Viral: The Theory of Collective Discontinuous Evolution

Herein will be discussed the problems associated with the origin of species according to Darwinist processes of individual mutations. We will argue that individual mutations cannot be the driving force of species origination. A far more probable explanation is a process of collective mutation that affects numerous individuals near simultaneously akin to an infectious disease. These types of mutations might be precipitated by viruses which would create a discontinuous leap into another species. Such a mechanism also sheds light on the increased rate of evolution observed currently

Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems

The transition from integrable to non-integrable highly-dispersive nonlinear models is investigated. The sine-Gordon and $\phi^4$-equations with the additional fourth-order spatial and spatio-temporal derivatives, describing the higher dispersion, and with the terms originated from nonlinear interactions are studied. The exact static and moving topological kinks and soliton-complex solutions are obtained for a special choice of the equation parameters in the dispersive systems. The problem of spectra of linear excitations of the static kinks is solved completely for the case of the regularized equations with the spatio-temporal derivatives. The frequencies of the internal modes of the kink oscillations are found explicitly for the regularized sine-Gordon and $\phi^4$-equations. The appearance of the first internal soliton mode is believed to be a criterion of the transition between integrable and non-integrable equations and it is considered as the sufficient condition for the non-trivial (inelastic) interactions of solitons in the systems.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA