?
Transition between metastable equilibria: Applications to binary-choice games
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2023. Vol. 108. No. 2. Article 024134.
Transitions between metastable equilibria in the low-temperature phase of dynamical Ising game with activity spillover are studied in the infinite time limit. It is shown that exponential enhancement due to activity spillover, which takes place in finite-time transitions, is absent in the infinite time limit. In order to demonstrate that, the analytical description for infinite time trajectory is developed. An analytical approach to estimate the probability of transition between metastable equilibria in the infinite time limit is introduced and its results are compared with those of kinetic Monte Carlo simulation. Our study sheds light on the dynamics of the Ising game and has implications for the understanding of transitions between metastable states in complex systems.
Language:
English
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
СПб.: Издательство СПбГЭУ, 2025.
Вашему вниманию предлагается 19-й ежегодный сборник научных статей по вопросам региональной экономики и территориального развития.
Несмотря на сложное положение в экономике, продолжает развиваться межрегиональное сотрудничество регионов СЗФО. Активно взаимодействуют Санкт-Петербург и Ленинградская область в части развития единого транспортно-логистического комплекса. Идет формирование единого рынка труда на основе баланса трудовых ресурсов города и области. Разрабатывается единая схема размещения ...
Added: August 31, 2026
Asemota M. O., DISCOVER ARTIFICIAL INTELLIGENCE 2026 Vol. 6 Article 892
Artificial intelligence (AI) is reshaping work and human resource management, yet existing reviews largely treat competencies as secondary outcomes of AI adoption and offer limited theory-driven integration of how competency management itself is transforming. This study addresses that gap by systematically examining how competency management has evolved in AI-enabled contexts, how dominant theories explain AI-driven ...
Added: August 31, 2026
DISCOVER ARTIFICIAL INTELLIGENCE 2026 Vol. 6 Article 892
Artificial intelligence (AI) is reshaping work and human resource management, yet existing reviews largely treat competencies as secondary outcomes of AI adoption and offer limited theory-driven integration of how competency management itself is transforming. This study addresses that gap by systematically examining how competency management has evolved in AI-enabled contexts, how dominant theories explain AI-driven ...
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
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
Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99
We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...
Added: August 30, 2026
Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211
We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...
Added: August 30, 2026
Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373
We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...
Added: August 30, 2026
Kazhdan D., Polishchuk A., Pure and Applied Mathematics Quarterly 2026 Vol. 22 No. 3 P. 1115–1166
We continue the study of automorphic functions associated with a curve C over the ring k[ε]/(ε²), where k is a finite field, begun in arXiv:2303.16259. Namely, we study an example of theta-lifting in this framework and show that it can be understood in terms of the orbit decomposition of the space of automorphic functions S(SL₂(F)\SL₂(A_C)) ...
Added: August 30, 2026
Petrov I., Journal of Economic Interaction and Coordination 2026
This paper studies a social-norm model in which agents choose effort in response to their own productivity and the efforts of their neighbours. We analyse how links between groups with different productivity levels affect equilibrium effort and derive the intergroup linking intensity that maximises aggregate effort. We work in a stylised two-group stochastic block setting ...
Added: August 30, 2026
Kuznetsov A. P., Sataev I. R., Stankevich N., Chaos 2026 Vol. 36 No. 8 Article 083131
A radio-physical system, namely, a two-mode van der Pol generator, is considered. It is shown that this system demonstrates two types of chaos: with one and two zero Lyapunov exponents. The regions of the second type of chaos are surrounded by bifurcation lines of invariant tori doubling. Quasi-periodic structures of various shapes are embedded within ...
Added: August 30, 2026
Svetlana Grigorieva, Narmin Isaeva, Aliya Azizova et al., Journal of Corporate Finance Research 2026 Vol. 20 No. 1 P. 75–84
This paper identifies the determinants of green bonds on global markets, China and Russia and evaluates the hedging effect of these instruments. We contribute to the existing literature by (1) studying the emerging markets such as Russia and China, (2) providing comparative analysis of the impact of identical factors on green bond yields on global, ...
Added: August 29, 2026
Shirokov N. A., Rozenblum G., Israel Journal of Mathematics 2026 P. 1–30
We establish that a generalized H\¨older continuous function on an (m−2)-Ahlfors regular compact set in Rm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function ...
Added: August 29, 2026
Финагин М. И., Мирошниченко Д. В., Прикладная эконометрика 2026 Т. 82 С. 105–123
We construct a monthly indicator and produce a nowcast of nominal GDP in Russia using operational
data. The data used are bank statements and the ruble price of Russian oil. This approach
allows for the nowcast of nominal GDP ahead of official statistics by 3–5 months. Nominal GDP
data is published by Rosstat only on a quarterly basis ...
Added: August 28, 2026
Simachev Y. V., Ruzhanskaya L., Саблин К. С., ЭКО 2026 № 4 С. 55–82
Energy security concerns, environmental constraints, and competition
with other energy sources—combined with the disruption of established global value
chains—are forcing Russian coal companies to undergo transformation. Based on an
analysis of statistical data and the results of in-depth interviews with experts conducted
from August 2024 to January 2025, this study identifies the main challenges facing
the development of Russia’s coal ...
Added: August 28, 2026
Kazun A., Девятников В. Ю., Белов М. Д., Вопросы теоретической экономики 2026 Т. 3 № 32 С. 115–135
Как понять, хорош адвокат или нет? В данной статье мы описываем методологию, позволяющую измерять качество юридической помощи через разницу между тем, что предсказывает модель машинного обучения по объективным характеристикам дела, и тем, чем дело закончилось в реальности. Мы исходим из предпосылки, что если у адвоката дела стабильно заканчиваются лучше ожидаемого, то он делает свою работу хорошо. ...
Added: August 28, 2026
Pilé I., Deng Y., Shchur L., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 1 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Shehtman V. B., Gagarin A., , in: Graph Games and Logic Design. Recent Developments and Further Directions. (TREN, volume 66)Vol. 66.: Springer, 2026. Ch. 17 P. 419–450.
The chapter contains an overview of results on products of propositional modal logics and related constructions: semiproducts, Segerberg squares, and others. We focus mainly on axiomatizations, finite model property, and decidability; we also sketch connections with classical and modal predicate logics. In some cases we give ideas of proofs, especially of those using games. ...
Added: June 30, 2026
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Chertenkov V. I., Shchur L., Lobachevskii Journal of Mathematics 2026 Vol. 47 No. 2 P. 720–727
Supervised machine learning is successfully applied to the study of critical phenomena and allows us to obtain a numerical estimate of the phase transition temperature and the correlation length exponent. We discuss the influence of possible systematic errors, as well as statistical errors, on the accuracy of such numerical estimates. Errors in the training and ...
Added: June 16, 2026
Nesterov A. S., Журнал Новой экономической ассоциации 2026
В этой статье рассматривается целевой приём в вузы в России с точки зрения науки об устройстве рынков сочетания и экономических механизмов (matching market and mechanism design), ключевого направления современной теории игр. Мы изучаем механизм целевого приёма -- набор правил, по которым устраивается трёхстороннее сочетание между абитуриентом, заказчиком и образовательной программой. Используемый в России механизм имеет ...
Added: June 16, 2026