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Сравнение молекул РНК: энергия связывания и статистические свойства случайных последовательностей
Журнал экспериментальной и теоретической физики. 2012. Т. 141. С. 399.
Priority areas:
mathematics
Language:
Russian
Bodrov D., Pakhlov P., Pakhlova G. et al., Physical Review Letters 2026 Vol. 137 Article 051805
We report a search for the rare decay B+ -> K+ tau+ tau- using 1.2 x 10^9 Upsilon(4S) mesons produced near threshold in electron-positron collisions and collected by the Belle and Belle II experiments. We fully reconstruct the hadronic decay of one B meson produced in the Upsilon(4S) -> B+ B- decay, and search for ...
Added: October 1, 2026
Bodrov D., Aushev Т., Abumusabh М., Physical Review A: Atomic, Molecular, and Optical physics 2026 No. 136 Article 241901
We report the first observation of the radiative decay D*_s0(2317)+ -> D*+_s gamma with a statistical significance exceeding 10 standard deviations. The signal is observed in the continuum e+ e- -> c c-bar process, using combined data samples of 980.4 fb^-1 from Belle and 427.9 fb^-1 from Belle II, collected at the KEKB and SuperKEKB ...
Added: October 1, 2026
Bodrov D., Pakhlova G., Aushev Т. et al., Physical Review A: Atomic, Molecular, and Optical physics 2026 Vol. D 113 Article 032015
Using data samples of 988.4 fb^-1 and 427.9 fb^-1 collected with the Belle and Belle II detectors, we present a study of the singly Cabibbo-suppressed decays Xi0_c -> Lambda eta, Lambda eta', and Lambda pi0. We observe the decay Xi0_c -> Lambda eta and find evidence for the decay Xi0_c -> Lambda eta', with corresponding ...
Added: October 1, 2026
Pakhlov P., Pakhlova G., Bodrov D. et al., Journal of High Energy Physics 2026 Article 278
The bottomonium spectrum, consisting of bound states of a b quark and an anti-b quark, provides an excellent laboratory for probing quantum chromodynamics in the non-perturbative regime. While S and P-wave bottomonium states are well studied experimentally, information on D-wave states remains scarce. We search for the D-wave bottomonium states Upsilon_2(1D) and Upsilon_3(1D) via the ...
Added: October 1, 2026
Bodrov D., Pakhlova G., Uglov T. et al., Journal of High Energy Physics 2026 Vol. 09 No. 216
We perform a measurement of time-dependent CP violation parameters in B0 -> KS0 pi0 gamma decays using a dataset of approximately 772 x 10^6 and 521 x 10^6 Upsilon(4S) decays collected by the Belle and Belle II experiments, respectively. The measured parameters for the combined dataset in the K0(892) dominated region (M_KS0pi0 in [0.8, 1.0] ...
Added: October 1, 2026
Pakhlov P., Pakhlova G., Bodrov D. et al., Physical Review Letters 2026 No. 137 Article 071803
We report the first searches for charged-lepton-flavor violation in decays of chi_bJ(1P) (J = 0, 1, and 2) to a pair of charged leptons using 158 million Y(2S) decays collected with the Belle detector in e+ e- collisions at the KEKB collider. No significant signal is observed, and we set upper limits on the branching ...
Added: October 1, 2026
Zlotnik A., Математические заметки 2026 Т. 120 № 6 С. 1005–1009
Численным методам решения систем газодинамических уравнений посвящена обширная литература. Ранее было разработано и успешно апробировано специальное семейство симметричных по пространству консервативных разностных методов, основанных на предварительной кинетической, точнее, квазигазодинамической (КГД), регуляризации этих уравнений. Актуальной задачей является построение численных методов, которые обладают не только свойством консервативности по массе, импульсу и полной энергии, но и удовлетворяют условиям энтропийной ...
Added: October 1, 2026
Vyugin I. V., Sashadhar D., Algebra and Number Theory 2026 P. 1–10
We study the K-Fibonacci sequence Fp modulo prime p. Cardinalities of sets |Fp+Fp| and |Fp⋅Fp| are estimated. We present the method of estimating doubling constant of some m-dimensional recurrent sets in Fp. ...
Added: October 1, 2026
Bernardin C., João P. M., Gonçalves P., PROBABILITY AND MATHEMATICAL PHYSICS 2026 P. 59–59
We investigate a boundary-driven Ginzburg-Landau dynamics with long-range interactions. In the hydrodynamic limit, the macroscopic evolution is governed by a fractional heat equation with Dirichlet boundary conditions, while the corresponding stationary profile is characterized by a fractional Laplace equation. We establish a dynamical large deviations principle for the empirical measure and derive the associated stationary ...
Added: October 1, 2026
Kuksin S., Dynamical Systems 2026
We study the mixing properties of discrete-time and continuous-time dissipative dynamical systems driven by bounded mixing random forces. The continuous-time systems are
reduced to discrete-time random dynamical systems generated by time-one maps, so that
the main analysis is carried out in the discrete setting. We introduce a class of mixing random forcings whose regular conditional distributions with ...
Added: October 1, 2026
Kuksin S., Shirikyan A., Journal of Dynamics and Differential Equations 2026 P. 1098–1100
The paper deals with the problem of large-time behaviour of trajectories for discrete-time dynamical systems driven by a random noise. Assuming that the phase space is finite-dimensional and compact, and the noise is a Markov process with a transition probability satisfying some regularity hypotheses, we prove that all the trajectories converge to a unique measure ...
Added: October 1, 2026
Potanin B., Dolgikh S., Statistics and Probability Letters 2026 Article 110984
We derive bounds on the gradient and Hessian of the log-CDF, ln F(x), of the multivariate normal distribution. These bounds scale linearly and quadratically in ‖x‖ , respectively, with constants depending only on the covariance matrix. We demonstrate the usefulness of these bounds by proving asymptotic normality of the maximum-likelihood estimator of the multivariate probit ...
Added: October 1, 2026
A. V. Pereskokov, Journal of Mathematical Sciences 2026 Vol. 302 No. 4 P. 531–545
We consider the Zeeman effect problem for the hydrogen atom in a magnetic field using
irreducible representations of the Karasev–Novikova algebra with quadratic commutation
relations. We find the asymptotics of a series of eigenvalues and the corresponding
asymptotic eigenfunctions near the upper boundaries of spectral clusters. ...
Added: October 1, 2026
Dolgov A., МЕТОД: Московский ежегодник трудов из обществоведческих дисциплин 2025 Т. 5 № 4 С. 120–133
В обзоре интеллектуальное наследие В.И. Вернадского (1863-1945) рассматривается в контексте зарубежных инвайронментальных исследований (преимущественно на материале англоязычных публикаций двух последних десятилетий). Реконструируются ключевые идейные истоки мировоззрения Вернадского: влияние В.В. Докучаева, русского космизма и концепции ноосферы П. Тейяра де Шардена. Анализируются понятия научной системы Вернадского - «живое вещество», «биосфера» и «ноосфера»; прослеживается их рецепция в современных ...
Added: September 30, 2026
Yakovlev K., Puchkin N., Journal of Complexity 2026 Vol. 97
We present a theory for simultaneous approximation of the score function and its derivatives, enabling the handling of data distributions with low-dimensional structure and unbounded support. Our approximation error bounds match those in the literature while relying on assumptions that relax the usual bounded support requirement. Crucially, our bounds are free from the curse of ...
Added: September 30, 2026
Zlotnik A., Mathematical notes 2026 Vol. 120 No. 6 P. 1174–1178
Numerical methods for solving systems of gas dynamic equations are the subject of a vast literature. A special family of spatially symmetric conservative difference methods based on preliminary kinetic, or quasi-gasdynamic (QGD), regularization of these equations was constructed and successfully tested. A pressing issue is the construction of numerical methods that are not only conservative ...
Added: September 30, 2026
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter.
By analyzing the ...
Added: September 24, 2026
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
Added: September 19, 2026
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
Added: August 31, 2026
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026