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Topological transition in disordered planar matching: combinatorial arcs expansion
Journal of Statistical Mechanics: Theory and Experiment. 2014. No. 12. P. 12004.
In this paper, we investigate analytical properties of planar matching on a line in the disordered Bernoulli model. This model is characterized by a topological phase transition, yielding the complete planar matching solutions only above a critical density threshold. We develop a combinatorial procedure of arcs expansion that explicitly takes into account the contribution of short arcs, and allows to obtain an accurate analytical estimation of the critical value by reducing the global constrained problem to a set of local ones. As an application to the physics of the RNA secondary structures, we suggest generalized models that incorporate a one-to-one correspondence between the contact matrix and the nucleotide sequence, thus giving sense to the notion of effective non-integer alphabets
Priority areas:
IT and mathematics
Language:
English
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Ponomarev A., Aleksandrov N., Plasma Physics Reports 2026 Vol. 52 No. 3 P. 367–378
An approximate method for calculating drift velocity and other kinetic coefficients of heavy ions
in a light gas is generalized to gaseous mixtures. Obtained equations are used to calculate the mobilities of
and ions, as well as rate constants for inelastic ion–molecule processes with these ions in helium with
small additions of O2 under an electric field. Calculated ...
Added: April 27, 2026
Domrin V. I., Malova H. V., V. Yu. Popov et al., Cosmic Research 2026 Vol. 64 No. 2 P. 238–252
During magnetospheric perturbations a relatively thin current sheet with thickness about several
proton gyroradii forms in the Earth’s magnetotail. In a framework of the kinetic model describing current
sheet thinning in the magnetotail, the processes of its formation are investigated depending on the normal
magnetic field magnitude which affects both the current sheet structure and particle dynamics within ...
Added: April 27, 2026
Tsareva O. O., Malova H. V., V. Yu. Popov et al., Plasma Physics Reports 2026 Vol. 52 No. 2 P. 179–185
The influence of asymmetry of plasma sources on the structure and spatial localization of a superthin
current sheet (STCS) supported by demagnetized electrons is studied using a self-consistent model. The
simulation takes into account the presence of a single plasma source in the northern hemisphere, which
makes the plasma flow asymmetric. It is demonstrated that the asymmetry of ...
Added: April 27, 2026
П.А.Беспалов, О.Н. Савина, Геомагнетизм и аэрономия 2025 Т. 65 № 5 С. 620–628
Several basic models of frequency dynamics in quasi-periodic VLF emissions with spectral form repetition
periods from 10 to 300 s are considered. In all cases, we are talking about manifestations of cyclotron instability
of electron radiation belts thet are well described within the framework of the plasma magnetospheric maser
theory based an the averaged self-consistent system of quasi-linear ...
Added: April 25, 2026
Bondarenko G.G., Fisher M. R., Kristya V. I., Bulletin of the Russian Academy of Sciences: Physics 2026 Vol. 90 No. 4 P. 572–576
A model of the cathode layer of a glow gas discharge with a thin dielectric film on a fraction of the
cathode’s working surface is formulated. It is shown that a glow discharge most rapidly transits to an arc discharge,
accompanied by a significant increase in discharge current density and a decrease in cathode voltage
drop, if the ...
Added: April 25, 2026
Pochinka O., Yakovlev E., Shmukler V., Russian Journal of Nonlinear Dynamics 2026
Every discrete dynamical system (cascade) generated by a homeomorphism induces a continuous
dynamic system (flow) — a suspension. However, not every flow is equivalent to a suspension
over a cascade, a necessary and sufficient condition for this is the existence of a global
section for the flow. In the case of the existence, the flow is equivalent to ...
Added: April 24, 2026
Кивалов С. Н., Fitzjarrald D., Boundary-Layer Meteorology 2018 Vol. 166 No. 2 P. 165–198
Cloud shadows lead to alternating light and dark periods at the surface, with
the most abrupt changes occurring in the presence of low-level forced cumulus clouds.
We examine multiyear irradiance time series observed at a research tower in a midlatitude
mixed deciduous forest (Harvard Forest, Massachusetts, USA: 42.53◦N, 72.17◦W) and one
made at a similar tower in a tropical ...
Added: April 24, 2026
Кивалов С. Н., Fitzjarrald D., Boundary-Layer Meteorology 2019 Vol. 173 No. 1 P. 1–52
We examine the physical and biological responses of forest canopies to step changes in light
caused by passing low cumulus clouds that intermittently block the direct solar beam. Using
data obtained at a tropical rainforest and at a midlatitude deciduous forest, we estimate the
course of sensible heat flux, net ecosystem exchange, evapotranspiration, and water-use efficiency in response ...
Added: April 24, 2026
Addressing effects of environment on eddy-covariance flux estimates at a temperate sedge-grass marsh
Кивалов С. Н., Dušek J., Czerný R. et al., Boundary-Layer Meteorology 2023 Vol. 186 P. 217–250
We examined the net-ecosystem-exchange (NEE)-based annual carbon-balance estimates
obtained from eddy-covariance (EC) measurements at an unmanaged sedge-grass marsh
ecosystem (Tˇreboˇn, Czech Republic, 49°1′ N, 14°46′ E), seeking methods to improve the EC
measurements in inhomogeneous environment. The data filtering procedure was developed
using three thresholds: (a) a stationarity test; (b) a stability u∗-threshold; and (c) a high relative
humidity RH-threshold. ...
Added: April 24, 2026
Кивалов С. Н., Лопес де Гереню В. О., Хорошаев Д. А. et al., Forests 2023 Vol. 14 No. 8 Article 1568
Soil respiration (SR) is a main component of the carbon cycle in terrestrial ecosystems,
and being strongly affected by changes in the environment, it is a good indicator of the ecosystem’s
ability to cope with climate change. This research aims to find better empirical SR models using
25-year-long SR monitoring in two forest ecosystems formed on sandy Entic ...
Added: April 24, 2026
Касицкий В. А., Кивалов С. Н., Лопес де Гереню В. О. et al., АгроЭкоИнфо 2025 Т. 5 Статья 517
Оценка дыхания почвы - одного из основных источников углекислого газа в атмосферу – необходима для корректного определения углеродного баланса в наземных экосистемах. Сравнение пульсационного и камерного методов измерения дыхания почвы, проведенные в березняке постагрогенном в регионе южного Подмосковья, показывает хорошую сопоставимость этих методов с коэффициентом детерминации R2=0.75 (p-value=7.546e-12). С учетом высокой пространственной и временной неоднородности ...
Added: April 24, 2026
Кивалов С. Н., Ecological Modelling 2024 Vol. 498 Article 110904
On certain kinds of cloudy days, many forested ecosystems exhibit enhanced carbon uptake and water-use efficiency-the cloudy-day forest flux anomaly. Using ensemble methods to analyze eddy-covariance fluxes, we have
diagnosed net ecosystem exchange (NEE) and water-use efficiency (WUE) of a temperate broadleaf forest and a
tropical evergreen forest as they responded to natural fluctuating-light regimes. Here we ...
Added: April 24, 2026
Кивалов С. Н., Курганова И. Н., Быховец С. С. et al., Soil Systems 2025 Vol. 9 No. 1 Article 9010025
Carbon dioxide (CO₂) efflux from soil (or soil respiration, SR) is one of the most important yet variable characteristics of soil. When evaluating large areas, CO₂ efflux modeling serves as a viable alternative to direct measurements. This research aims to identify site-specific differences and their effects on empirical CO₂ efflux modeling. The experimental data from ...
Added: April 24, 2026
Kashevnik A., Glekler E., Artemenko E. et al., Scientific data 2026 Article 7209
We present a multimodal dataset containing electroencephalography (EEG), electrocardiography (ECG), and video recordings from 49 participants. Each participant completed a single session lasting approximately 45 minutes. During each session they performed five tasks: resting state, inward concentration (focusing on the center of the forehead), outward concentration (visual search), and mind-wandering. EEG data were recorded from ...
Added: April 23, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Selecta Mathematica, New Series 2026 Vol. 32 Article 25
We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological expansion. We show that the so-called non-perturbative differentials form a special case of this revisited version of blobbed topological recursion. Furthermore, we prove the KP ...
Added: April 23, 2026
Kazaryan M., Lando S., Kodaneva N., Journal of Geometry and Physics 2026 No. 225 Article 105841
Weight systems associated to the Lie algebras 𝔤𝔩(N) for N = 1,2,... can be unified into auniversal one. The construction is based on an extension of the 𝔤𝔩(N) weight systems to permutations. This universal weight system takes values in the algebra of polynomials C[N;C1,C2,...] in infinitely many variables. We show that under the substitution Cm ...
Added: April 23, 2026
Kychkin A., Chernitsin I., Прикладная информатика 2026 Т. 21 № 1 С. 40–58
The results of the development of a software microservice embedded in atmospheric air quality monitoring systems to support the identification of industrial pollution sources are presented. The emission and subsequent spread of harmful substances in the lower layers of the atmosphere is dynamic and characterized by high uncertainty due to the specific features of technological ...
Added: April 23, 2026
Qin X., Deng Y., Shchur L. et al., / Series arXiv "math". 2026. No. 2603.02962.
We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the three-dimensional Ising universality class for all models. The irrelevant field, as revealed by the correction-to-scaling amplitudes, appears to ...
Added: April 20, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
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
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
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
Added: December 24, 2025
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025