Isotropy Properties of the Multi-Step Markov Symbolic Sequences

A new object of the probability theory, the two-sided chain of symbols (introduced in Ref. arXiv:physics/0306170) is used to study isotropy properties of binary multi-step Markov chains with the long-range correlations. Established statistical correspondence between the Markov chains and certain two-sided sequences allows us to prove the isotropy properties of three classes of the Markov chains. One of them is the important class of weakly correlated additive Markov chains, which turned out to be equivalent to the additive two-sided sequences.Comment: 7 page

The Poisson bracket compatible with the classical reflection equation algebra

We introduce a family of compatible Poisson brackets on the space of $2\times 2$ polynomial matrices, which contains the reflection equation algebra bracket. Then we use it to derive a multi-Hamiltonian structure for a set of integrable systems that includes the $XXX$ Heisenberg magnet with boundary conditions, the generalized Toda lattices and the Kowalevski top.Comment: 13 pages, LaTeX with AmsFont

Молекулярный анализ гена GID1 у Dasypyrum villosum и создание ДНК-маркера для его идентификации

Dasypyrum villosum is an annual cereal used as a donor of agronomic traits for wheat. Productivity is one of the most important traits that breeding is aimed at. It is a very complex trait, the formation of which is influenced by many different factors, both internal (the genotype of the plant) and external. The genes responsible for the gibberellin sensitivity played a large role in multiplying yields of cereal crops. Another such gene is the Gid1, which encodes a receptor for gibberellins. This article compares the DNA sequences of the Gid1 gene obtained from six Dasypyrum villosum samples. Using a sequence of wheat and rye taken from the GenBank database (NCBI), we selected primers for regions of different genomes (A, B, and D subgenomes of wheat and the R genome of rye), and carried out a polymerase chain reaction on D. villosum accessions of diverse geographical origin. The resulting PCR product was sequenced by an NGS method. Based on the assembled sequences, DNA markers have been created that make it possible to differentiate these genes of the V genome and homologous genes of wheat origin. Using monosomic addition, substitution, and translocation wheat lines, the localization of the Gid1 gene of D. villosum was established on the long arm of the first V chromosome. A phenotypic assessment of common wheat lines carrying substituted, translocated, or added D. villosum chromosomes in their karyotype was performed. Tendency of disappearance of the first chromosome of D. villosum in the lines with added chromosomes was revealed.Dasypyrum villosum (VV) - однолетний злак, зарекомендовавший себя в качестве донора хозяйственно-ценных признаков для пшеницы. Один из важнейших показателей, на который направлена селекция,- урожайность, являющаяся сложным, комплексным признаком. На его формирование влияет множество различных факторов. Большую роль в росте урожайности злаковых культур сыграли гены, регулирующие физиологический ответ растений на гиббереллины, одним из которых стал ген Gid1 , являющийся рецептором активных форм этих фитогормонов. Приведено сравнение частичных ДНК-последовательностей гена Gid1 , секвенированных у двух образцов Dasypyrum villosum . Используя последовательности пшеницы и ржи, взятые из базы данных GenBank (NCBI), подобрали праймеры на участки разных геномов (субгеномы А, В и D пшеницы и геном R ржи) и провели полимеразную цепную реакцию на образцах дазипирума мохнатого различного происхождения. Полученный ПЦР-продукт был секвенирован методом NGS. На основе секвенированных нуклеотидных последовательностей создан ДНК-маркер, позволяющий дифференцировать данные гены генома V и гомологичные гены пшеничного происхождения. С использованием моносомно-дополненных, замещенных и транслоцированных линий пшеницы впервые установлена локализация гена Gid1 на хромосомах Dasypyrum villosum . Показано расположение данного гена на длинном плече первой хромосомы генома V (1VL). Проведена фенотипическая оценка линий мягкой пшеницы, имеющих в своем кариотипе замещенные, транслоцированные или дополненные хромосомы Dasypyrum villosum

Search for the Xb and other hidden-beauty states in the π+π−ϒ(1S) channel at ATLAS

This Letter presents a search for a hidden-beauty counterpart of the X(3872) in the mass ranges of 10.05–10.31 GeV and 10.40–11.00 GeV, in the channel Xb→π+π−ϒ(1S)(→μ+μ−), using 16.2 fb−1 of pp   collision data collected by the ATLAS detector at the LHC. No evidence for new narrow states is found, and upper limits are set on the product of the Xb cross section and branching fraction, relative to those of the ϒ(2S), at the 95% confidence level using the CLS approach. These limits range from 0.8% to 4.0%, depending on mass. For masses above 10.1 GeV, the expected upper limits from this analysis are the most restrictive to date. Searches for production of the ϒ(13DJ), , and states also reveal no significant signals

Application of Cdznte Detectors for Control of Initial Enrichment of Fresh Nuclear Fuel at Refueling

The task of determining the initial enrichment of nuclear fuel (NF) at nuclear power plants in real time is relevant for both economic indicators of operation of the power unit and for all components of nuclear safety (nuclear safety, security and safeguards). The technology used by nuclear fuel cycle companies is not suitable for use at nuclear power plants. It is proposed to use a measuring system based on CdZnTe semiconductor detectors designed to control the burn-up depth of nuclear fuel for estimating the initial enrichment of fresh nuclear fuel in fuel assemblies (FA). The initial enrichment is estimated with help of the gamma radiation of uranium isotopes of fresh nuclear fuel. A distinctive feature of the system that has been developed is the use of passive tomography technology to take into account the self-absorption of radiation in the FA. The promise of the proposed method for estimating initial enrichment is confirmed by experimental measurements and simulation results. It is shown that the system developed makes it possible to determine the enrichment of nuclear fuel, taking into account its profiling by the volume of FA. Also, the results of measurements confirmed the possibility of using the proposed technical solutions for CdZnTe detectors to create portable monitoring systems for special nuclear material in the field. The solution of this task is of great importance for national security

Application of Cdznte Detectors for Control of Initial Enrichment of Fresh Nuclear Fuel at Refueling

The task of determining the initial enrichment of nuclear fuel (NF) at nuclear power plants in real time is relevant for both economic indicators of operation of the power unit and for all components of nuclear safety (nuclear safety, security and safeguards). The technology used by nuclear fuel cycle companies is not suitable for use at nuclear power plants. It is proposed to use a measuring system based on CdZnTe semiconductor detectors designed to control the burn-up depth of nuclear fuel for estimating the initial enrichment of fresh nuclear fuel in fuel assemblies (FA). The initial enrichment is estimated with help of the gamma radiation of uranium isotopes of fresh nuclear fuel. A distinctive feature of the system that has been developed is the use of passive tomography technology to take into account the self-absorption of radiation in the FA. The promise of the proposed method for estimating initial enrichment is confirmed by experimental measurements and simulation results. It is shown that the system developed makes it possible to determine the enrichment of nuclear fuel, taking into account its profiling by the volume of FA. Also, the results of measurements confirmed the possibility of using the proposed technical solutions for CdZnTe detectors to create portable monitoring systems for special nuclear material in the field. The solution of this task is of great importance for national security

Quantum chaos: Degree of reversibility of quantum dynamics of classically chaotic systems

We introduce a quantitative measure of reversibility of quantum dynamics of classically chaotic systems beyond the semi-classical domain

On the structural stability of mono- and binary metallic nanocages

This work is devoted to the problem of thermal stability of mono- and binary metal nanocages consisting of gold and silver atoms. The number of atoms in the studied nanocages was 1744, 2150, 2470 and 3370 atoms. The characteristic size (outer diameter) of nanocages is from 4,4 to 5,1 nm. Interatomic interaction was described by the tight-binding potential. Analysis of the caloric dependences of the specific potential part of the internal energy made it possible to identify the temperature regions of «healing» of cavities (pores) on the faces and in the internal regions (cores) of nanocages. An example of the structural collapse of a nanocage is described in detail, as a result of which crystalline and quasicrystalline phases are identified in the nanoparticle core for a temperature corresponding to melting for the chosen size. Segregation in a binary Au-Ag nanocage before and after its collapse was also studied