?
Steady state of lattice population with immigration
Mathematical Population Studies. 2021. Vol. 28. No. 2. P. 63–80.
Chernousova E., Feng Y., Hryniv O., Molchanov S.
In a lattice population model where individuals evolve as subcritical branching random walks subject to external immigration, the cumulants are estimated and the existence of the steady state is proved. The resulting dynamics are Lyapunov stable in that their qualitative behavior does not change under suitable perturbations of the main parameters of the model. An explicit formula of the limit distribution is derived in the solvable case of no birth. Monte Carlo simulation shows the limit distribution in the solvable case.
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 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
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
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
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
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
Yury A. Budkov, Nikolai N. Kalikin, Physical Chemistry Chemical Physics 2026 Vol. 28 No. 11 P. 6756–6768
This study presents a novel approach to addressing the limitations in understanding the behavior of charged particles in solutions. The approach is based on the development of the Self-Consistent Debye–Hückel–Onsager (SCDHO) theory, which integrates the effects of non-local charge distributions using a Slater-type charge form factor model. This results in a modified Coulomb potential at ...
Added: February 27, 2026
Dorkhanov I., Sokolov B., / Series OSF "SocArXiv". 2025.
This study investigates the relationship between individual religiosity and attitudes towards immigrants of different religious backgrounds in Europe. Using data from the 7th wave of the European Social Survey (2014-2015), we examine the influence of individual denomination and subjective religiosity level on hostility towards Muslim immigrants and the importance of immigrants’ Christian background. Our analysis, ...
Added: December 23, 2025
Dionysios Zoumpalidis, Hasan Berkcan Şimşek, Russian Journal of Linguistics 2025 Vol. 29 No. 3 P. 631–658
Linguistic landscape remains an important semiotic resource for tracking socio-political changes and the shifting power dynamics they entail, particularly in contexts marked by superdiversity. As the largest urban center in Russia, Moscow is a multilingual and multicultural city shaped by its unique historical, political, and socio-economic context. However, despite the city’s central role in understanding ...
Added: September 15, 2025
Komyaginskaya E., Gallyamova A., Conway L. G. et al., International Journal of Intercultural Relations 2025 Vol. 108 Article 102261
This study explores how immigrant stereotypes and prejudice are influenced by two types of status comparisons: a group’s country of origin (between-country) and its position within the host nation (within-country). Focusing on Nigerian immigrants in the US, we draw on the Stereotype Content Model to assess perceptions of warmth and competence, alongside established prejudice measures ...
Added: July 24, 2025
Edward Elgar Publishing, 2025.
This insightful Handbook explores the dynamics of historical and contemporary migration flows to China from across its bordering regions, Asia and other continents. It analyzes the social, economic, cultural, and legal developments that arise from migration to China.
Leading experts discuss how China has become a key destination for international migration, outlining the resulting diversities within ...
Added: June 30, 2025
Kramarenko A., Kosevich E., Мировая экономика и международные отношения 2025 Т. 69 № 3 С. 125–136
The Indian government does not pay enough attention to interacting with the communities of Indian immigrants located in Latin American and Caribbean States (LAC). This is related not only to the long history of Indian immigrants living in the region and their presumed assimilation into host societies, but also to their small numbers. Traditionally, the ...
Added: March 22, 2025
Kramarenko A., Современная Европа 2024 № 7 С. 196–207
The article focuses on the analysis of the inclusion of third-country nationals in the electoral systems of European states from the perspective of immigrant integration policies. Until recently, participation in the electoral process was a stable attribute of national citizenship and was not extended to foreigners, and the only option for their inclusion in the ...
Added: January 30, 2025
Set theoretical pathologies in the problem of Lyapunov stability of singular points of vector fields
Ilyashenko Y., Journal of Fixed Point Theory and Applications 2024 Vol. 26 Article 24
We prove that Lyapunov stability problem demonstrates pathologies even on the set-theoretical level. Namely, there exists an analytic one-parameter family of 5-jets of vector fields that crosses the set of stable jets by a countable union of disjoint intervals. ...
Added: January 29, 2025
Kramarenko A., Мировая экономика и международные отношения 2024 Т. 68 № 10 С. 100–111
The article analyses the electoral participation of non-citizens of third countries residing in the member states of the European Union in the context of the integration policy of immigrants. The aim of the work is to assess the level of participation of non-citizens from third countries in municipal elections, depending on the degree of electoral inclusion in European states. Examples of countries with different systems ...
Added: October 16, 2024