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Об исследовании информационных характеристик естественных языков
Обозрение прикладной и промышленной математики. 2016. Т. 23. № 1. С. 3–16.
The tasks associated with finding some information characteristics (entropy, the distribution of m-grams, syllables and phrases), the using of which allows to build the predictive models for the development of natural languages, are considered. The texts in Russian, English, German, French and Georgian languages, as classified by time intervals and styles, are experimental studied.
Priority areas:
mathematics
Language:
Russian
Borkina A., Russian Japanology Review 2026 Vol. 9 No. 1 P. 30–48
The article examines the novel by Japanese writer Qudan Rie Tokyo Sympathy Tower, which was awarded the prestigious Akutagawa Literary Prize in 2024. The award sparked a wide discussion due to the writer’s use of generative artificial intelligence in her work, which not only suggested some ideas, but also became the prototype for one of ...
Added: September 2, 2026
Bodrova A. S., Русская литература 2026 № 3 С. 64–75
The article discusses the previously ignored parallels between The Same Old Story by I. A. Goncharov and a fragment of V. F. Odoyevsky’s unfinished novel Year 4338. Letters from Petersburg published in Issue 1 of Moskovsky Nabliudatel magazine in 1825. A detailed analysis of plot, motif, imagery similes between the two texts is provided, the ...
Added: September 2, 2026
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026
We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...
Added: September 1, 2026
Sobolev V., [б.и.], 2004.
The work examines the evolution and correlation of the concept of entropy across thermodynamics, statistical physics, and information theory. The author traces the development from Clausius's classical definition of entropy as a state function of a thermodynamic system to its probabilistic interpretation in statistical mechanics (Boltzmann–Gibbs entropy) and Shannon's mathematical definition through uncertainty in communication ...
Added: September 1, 2026
Tsygunova M., Вестник Томского государственного университета 2026 № 525 С. 56–66
This article examines examples of metaphorical creativity in the works of contemporary American writer Chuck Palahniuk, particularly in the context of describing psychoemotional states. The study examines twenty-six works by Palahniuk (twenty-three short stories and three novels) and identifies examples of metaphorical creativity in the conceptualization of mental states. The analysis focuses on Palahniuk's unconventional ...
Added: August 31, 2026
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.
Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69
We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...
Added: August 31, 2026
Chernov A., Философические письма. Русско-европейский диалог 2026 Т. 9 № 2 С. 217–230
This publication introduces a previously unpublished note by prominent conservative thinker and diplomat Alexandru Sturdza, "The Application of the Holy Alliance to the Current Situation," written in October 1820. The document emerged in the context of an acute crisis of the Vienna system caused by a wave of revolutionary uprisings in Southern Europe (Spain, Portugal, ...
Added: August 31, 2026
Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.
Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...
Added: August 31, 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
Гаврилов А. В., Krayushkin D. V., Никитина Н. Ю. et al., Вопросы кибербезопасности 2026 № 4 С. 140–145
The purpose of the study: the development of an approach for covert embedding of patient personal data and data integrity verification markers into medical images, ensuring no distortion of critical diagnostic information. Method: an adaptive method based on Least Significant Bit (LSB) substitution is proposed. To enhance stealth and robustness, embedding is performed selectively – ...
Added: August 31, 2026
Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786
Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162
We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...
Added: August 30, 2026
David J. L., Grinin L. E., Korotayev A., , in: Complexity in Universal Evolution. A Big History Perspective.: Springer, 2026. Ch. 2 P. 29–90.
This chapter explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, biological, social, cognitive, and civilizational domains. Building on foundational work in systemstheory,thermodynamics,andevolutionarytheory,thechapterarguesthat complexity can serve as a conceptual bridge across disciplines. By examining how complexity emerges, is sustained, and transforms across thresholds, as well as ...
Added: August 10, 2026
Polyakov S., Smeshkova L., Lapin V. et al., Veredas do Direito 2026 Vol. 23 No. 11 Article e237531
The article examines the significant transformation of the concept of information and its impact on modern security technologies. Until the middle of the 20th century, the concept of information was considered as a philosophical category related to the transfer of knowledge and meaning. With the advent of Claude Shannon's communication theory, information was reinterpreted as ...
Added: July 27, 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
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026