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  • Raman spectroscopy of the laser irradiated titanium dioxide 
    Strelchuk, V.V; Budzulyak, S.I.; Budzulyak, I.M; Ilnytsyy, R.V.; Kotsyubynskyy, V.O.; Segin, M.Ya.; Yablon, L.S. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2010)
    Evolution of anatase phase for the TiO₂ nanocrystals at their laser irradiation is researched by the method of combinational light dispersion. The observed changes of intensity, frequency and halfwidth of TiO₂ phonon ...
  • Raman threshold and optical gain bandwidth in silica fibers 
    Felinskyi, G.S.; Korotkov, P.A. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2008)
    Nonlinearity of the stimulated Raman scattering (SRS) process in single-mode fibers is the creation basis of the new class of modern photonic devices such as fiber Raman lasers and fiber Raman amplifiers. The quantitative ...
  • Ramseyan variations on symmetric subsequences 
    Verbitsky, O. (Algebra and Discrete Mathematics, 2003)
    A theorem of Dekking in the combinatorics of words implies that there exists an injective order-preserving transformation f : {0, 1, . . . , n} → {0, 1, . . . , 2n} with the restriction f(i + 1) ≤ f(i) + 2 such that for ...
  • Random covers of finite homogeneous lattices 
    Alekseychuk, A.N. (2006)
    We develop and extend some results for the scheme of independent random elements distributed on a finite lattice. In particular, we introduce the concept of the cover of a homogeneous lattice Ln of rank n and derive the ...
  • Random-field Ising model: Insight from zero-temperature simulations 
    Theodorakis, P.E.; Fytas, N.G. (Condensed Matter Physics, 2014)
    We enlighten some critical aspects of the three-dimensional (d=3) random-field Ising model (RFIM) from simulations performed at zero temperature. We consider two different, in terms of the field distribution, versions of ...
  • Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence 
    Berche, B.; Berche, P.E.; Chatelain, C.; Janke, W. (Condensed Matter Physics, 2005)
    We discuss different approaches to the study of the effect of disorder in the three-dimensional Ising model. From the theoretical point of view, renormalization group calculations provide quite accurate results. ...
  • Randomly charged polymers in porous environment 
    Blavatska, V.; von Ferber, C. (Condensed Matter Physics, 2013)
    We study the conformational properties of charged polymers in a solvent in the presence of structural obstacles correlated according to a power law ~x-a. We work within the continuous representation of a model of linear ...
  • Random Matrices with Merging Singularities and the Painlevé V Equation 
    Claeys, T.; Fahs, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the asymptotic behavior of the partition function and the correlation kernel in random matrix ensembles of the form 1Zn∣∣det(M²−tI)∣∣αe−nTrV(M)dM, where M is an n×n Hermitian matrix, α>−1/2 and t∈R, in double ...
  • Random process from the class V(φ,ψ): exceeding a curve 
    Yamnenko, R.; Vasylyk, O. (2007)
    Random processes from the class V (φ, ψ) which is more general than the class of ψ-sub-Gaussian random process. The upper estimate of the probability that a random process from the class V (φ, ψ) exceeds some function is ...
  • Random projection and truncated SVD for estimating direction of arrival in antenna array 
    Revunova, E.G.; Rachkovskij, D.A. (Кибернетика и вычислительная техника, 2018)
    The purpose of the article is to develop an approach to estimating the direction of arrival of signals in the antenna array using the DIP solution, to compare the results with the well-known MUSIC method, to reveal the ...
  • Random Tensors and Quantum Gravity 
    Rivasseau, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We provide an informal introduction to tensor field theories and to their associated renormalization group. We focus more on the general motivations coming from quantum gravity than on the technical details. In particular ...
  • Random walks in random environment with Markov dependence on time 
    Boldrighini, C.; Minlos, R.A.; Pellegrinotti, A. (Condensed Matter Physics, 2008)
    We consider a simple model of discrete-time random walk on Zν, ν = 1, 2, . . . in a random environment independent in space and with Markov evolution in time. We focus on the application of methods based on the properties ...
  • Random walks on finite groups converging after finite number of steps 
    Vyshnevetskiy, A.L.; Zhmud, E.M. (Algebra and Discrete Mathematics, 2008)
    Let P be a probability on a finite group G, P(n)=P∗…∗P (n times) be an n-fold convolution of P. If n→∞, then under mild conditions P(n) converges to the uniform probability U(g)=1|G| (g∈G). We study the case when the ...
  • Range dynamics in sibling species: facts and reconstructions for the mammal fauna of Eastern Europe 
    Zagorodniuk, I. (Theriologia Ukrainica, 2019)
    The specifics of distribution and status of local mammal species of sibling complexes demonstrating signs of significant either current or recent range dynamics are considered. These species complexes comprise pairs of ...
  • Range expansion of Kuhl’s pipistrelle (Pipistrellus kuhlii) into Belarus 
    Shpak, A.; Larchenko, A. (Праці теріологічної школи, 2016)
    The history and directions of the expansion of Kuhl’s pipistrelle (Pipistrellus kuhlii (Kuhl, 1817) in Russia, Ukraine and Central Europe from the second half of the 20th century to the present time is analyzed. Data on ...
  • Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic 
    Wang, J.; Heckenberger, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.
  • Rank formulae for factorized groups 
    Amberg, B.; Franciosi, S.; De Giovanni, F. (Український математичний журнал, 1991)
  • RAPD-анализ клеточных линий сои с перекрестной устойчивостью к оксианионам вольфрама и ванадия 
    Тищенко, Е.Н.; Михальская, С.И.; Сергеева, Л.Е. (Цитология и генетика, 2009)
    Исследовали влияние оксианионов ванадия на геном сои (Glycine max L., Merr.) в устойчивой к вольфраму (WR) клеточной линии. WR-линия показывает перекрестную устойчивость к оксианионам V⁵⁺. Установлено наличие одинаковых ...
  • RAPD-аналіз геномного поліморфізму деяких видів роду Gentiana L. флори України 
    Твардовська, М.О.; Страшнюк, Н.М.; Мельник, В.М.; Конвалюк, І.І.; Кунах, В.А. (2009)
    За допомогою RAPD-аналiзу виявлено генетичнi вiдмiнностi мiж представниками роду Gentiana L. флори України. Визначено рiвень мiжвидового полiморфiзму тирличiв та встановлено взаємозв’язки мiж ними. Показано значну генетичну ...
  • Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy 
    Bogoslovsky, G.Yu. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study the geometric phase transitions that accompany the dynamic rearrangement of vacuum under spontaneous violation of initial gauge symmetry. The rearrangement may give rise to condensates of three types, namely the ...