Oberwolfach Reports. Val. 11

doi:10.4171/OWR

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Oberwolfach Reports

Vol. 11. Issue 2. Zürich : European Mathematical Society Publishing house, 2014.

The Mathematisches Forschungsinstitut Oberwolfach regularly organizes workshops in all fields of Mathematics. Their aim is to offer 45–48 experts, invited by the Institute's Director, the opportunity to present recent research results, especially new methods, and to initiate future research projects. A great number of important papers have been initiated at Oberwolfach due to informal talks and discussions in small groups. Contrary to the typically large conferences all over the world, workshops at Oberwolfach emphasize active research. The Oberwolfach Reports are meant to capture, in an informal manner, the characteristic ideas and discussions of these workshops. As a service to the community, they are now offered by the Institute, at a nominal price, and allow the public to partake in the lively and stimulating atmosphere of these meetings. While the peer-reviewed results will appear elsewhere, the Oberwolfach Reports will keep the reader abreast of current developments and open problems, and serve as an indispensable source of information for the active mathematician.

Geometric mitosis and Newton-Okounkov polytopes

Valentina Kiritchenko, , in: Oberwolfach ReportsVol. 11. Issue 2.: Zürich: European Mathematical Society Publishing house, 2014. P. 1484–1487.

In [K], a convex-geometric algorithm was introduced for building new analogs of Gelfand–Zetlin polytopes for arbitrary reductive groups. Conjecturally, these polytopes coincide with the Newton–Okounkov polytopes of flag varieties for a geometric valuation. I outline an algorithm (geometric mitosis) for finding collec- tion of faces in these polytopes that represent a given Schubert cycle. For ...

Added: June 23, 2014

Priority areas: mathematics

Language: English

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Keywords: mathematics workshops Oberwolfach

New bound on S1× S2-setting Bell locality of a nonseparable Werner state

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

On functional equations for Chow polylogarithms

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

On Goncharov’s conjecture in next to Milnor degree

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

Statistical inference based on band-limited kernels: Rational-infinitely divisible distributions and beyond

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

Strong Approximations for Markov Chains Weakly Converging to Diffusions

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

Bifurcations and Structural Stability of Generic PC-HC Families

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

On the minimum number of maximal distance-k independent sets in trees

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

On Arithmetic Mirror Symmetry for smooth Fano fourfolds

Ovcharenko M., / Series arXiv "math". 2026.

We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...

Added: April 30, 2026

On weak solutions to the 1d compressible Navier-Stokes equations: a Lipschitz continuous dependence on data in weaker norms and an error of their homogenization

Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.

We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...

Added: April 18, 2026

On the dimension of the space of static potentials on three-manifolds

Medvedev V., / Series arXiv "math". 2026.

We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...

Added: April 3, 2026

Using predefined vector systems to speed up neural network multimillion class classification

Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.

Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...

Added: April 2, 2026

Homogeneous maximizers of the Blaschke-Santalo-type functionals

Kolesnikov A., / Series arXiv "math". 2025.

We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets. We also discuss links to the ...

Added: February 13, 2026

Moderation analysis of subjective well-being, self-efficacy, and academic performance of 4th grade children in Russia

Akhmedjanova D., Kanonire T., Zakharov A., Plos One 2026 Vol. 21 No. 2 Article e0341318

Research evidence exists on associations of subjective well-being, self-efficacy and various academic and non-academic outcomes with older students; however, there is a research gap on how these variables relate to each other in elementary school students. The goal of this cross-sectional study within a larger longitudinal project was to examine the role of subjective well-being ...

Added: February 3, 2026

Материалы докладов V Конференции математических центров России

Красноярск: ИВМ СО РАН, 2025.

Содержит статьи по материалам докладов, представленных на V Конференции математических центров России, г. Красноярск, 11-16 августа 2025 г. ...

Added: January 16, 2026

Iterative Ricci-Foster Curvature Flow with GMM-Based Edge Pruning: A Novel Approach to Community Detection

Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.

Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...

Added: January 15, 2026

Применение интеллектуальных информационных систем в дополнительном образовании учителей математики

Ли О. В., Педагогическая информатика 2025 № 1 С. 141–148

This article discusses the goals and objectives, recommendations for the use of intelligent information systems in the training of mathematics teachers on the basis of additional education. A comparative analysis of information systems and intelligent information systems is provided. Problems in the use of intelligent information systems in education are considered. ...

Added: January 15, 2026

On finding formal power-logarithmic expansions of solutions to q-difference equations

Gaianov N., Parusnikova A., / Cornell University. Серия math "arxiv.org". 2025.

An algebraic q-difference equation is considered. A sufficient condition for the existence of a formal power-logarithmic expansion of a solution to such an equation in the neighborhood of zero is proposed. An example of applying this sufficient condition for constructing a formal expansion of a solution to a certain q-difference analogue of the fifth Painlevé equation ...

Added: December 25, 2025

Ideal of the variety of flexes of plane cubics

Popov V., / Series arXiv "math". 2025. No. 2502.01539.

We prove that the variety of flexes of algebraic curves of degree 3 in the projective plane is an ideal theoretic complete intersection in the product of a two-dimensional and a nine-dimensional projective spaces. ...

Added: December 16, 2025

Random walks on rank one symmetric spaces of noncompact type

Gnetov F., Konakov V., / Series arXiv "math". 2025. No. 2512.04667.

We establish a central limit theorem, a local limit theorem, and a law of large numbers for a natural random walk on a symmetric space M of non-compact type and rank one. This class of spaces, which includes the complex and quaternionic hyperbolic spaces and the Cayley hyperbolic plane, generalizes the real hyperbolic space Hn. Our approach introduces ...

Added: December 5, 2025

Cascades of Lorenz attractors in the Shimizu-Morioka model

Kazakov A., Koryakin V., Safonov K. et al., / Series arXiv "math". 2025.

The Lorenz attractor is the first example of a robustly chaotic non-hyperbolic attractor. Each orbit of such an attractor has a positive top Lyapunov exponent, and this property persists under small perturbations despite possible bifurcations of the attractor. In this paper, we study the boundary of the Lorenz attractor existence region in the Shimizu-Morioka model. ...

Added: December 4, 2025

Mathematicon: A corpus-based platform for teachers and students of RFL

Anna Leontyeva, Toldova S., Fedorov D. et al., , in: Teaching Russian Through STEM: Contexts, Tools, and ApproachesVol. 1st Edition.: L.: Routledge, 2024. P. 183–202.

Teaching mathematics to students who speak Russian as a foreign language (RFL) can be a complicated task. Mathematical formulas can be verbalized in Russian in various ways; however, RFL textbooks do not cover all of them. This chapter explores the challenges of teaching L2 learners of Russian the academic discipline of mathematics and offers possible ...

Added: November 22, 2024

Machine Learning and Knowledge Discovery in Databases. Applied Data Science Track. European Conference, ECML PKDD 2024, Vilnius, Lithuania, September 9–13, 2024, Proceedings, Part X. LNCS, volume 14950

Cham: Springer, 2024.

This multi-volume set, LNAI 14941 to LNAI 14950, constitutes the refereed proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases, ECML PKDD 2024, held in Vilnius, Lithuania, in September 2024. ...

Added: November 22, 2024

Актуальные проблемы математики, механики и информатики 2022: Сборник статей по материалам студенческой конференции (г. Пермь, ПГНИУ, 25 мая – 10 июня 2022 г.)

Пермь: ПГНИУ, 2022.

В сборнике представлены материалы студенческой конференции «Актуальные проблемы математики, механики и информатики 2022», которая проводилась 25 мая – 10 июня 2022 г. в г. Перми. В состав сборника вошли работы студентов, выполненные под руководством ученых Пермского государственного национально исследовательского университета. Работы обладают актуальностью и научной новизной, часто они имеют междисциплинарный характер. Большой блок публикаций связан ...

Added: February 29, 2024

14th International Conference, OPTIMA 2023, Petrovac, Montenegro, September 18–22, 2023, Revised Selected Papers. Communications in Computer and Information Science (CCIS, volume 1913)

Springer, 2023.

This book constitutes the refereed proceedings of the 14th International Conference on Advances in Optimization and Applications, OPTIMA 2023, held in Petrovac, Montenegro, during September 18–22, 2023. The 21 full papers included in this book were carefully reviewed and selected from 68 submissions. They were organized in topical sections as follows: mathematical programming; global optimization; continuous optimization; ...

Added: December 9, 2023