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1.
1/x distribution in a close proximity of the Bak-Tang-Wiesenfeld sandpile
Alexander Shapoval, other performed works

Found in: osebi
Keywords: sandpile, scale-free distribution, power-law
Published: 09.07.2021; Views: 334; Downloads: 0
.pdf Fulltext (3,85 MB)

2.
A game-theoretical model of the landscape theory
Michel Le Breton, Alexander Shapoval, Shlomo Weber, 2021, original scientific article

Found in: osebi
Keywords: landscape theory, landscape equilibrium, blocs, gradual deviation, potential functions, hedonic games
Published: 16.03.2021; Views: 435; Downloads: 0
.pdf Fulltext (441,34 KB)

3.
Influence of very large spatial heterogeneity on estimates of sea-level trends
M. Shnirman, Vincent Courtillot, Alexander Shapoval, Jean-Louis Le Mouël, 2020, original scientific article

Abstract: We propose a new method to estimate sub-decadal to centennial time scales of sea-level change. Since the coastal data exhibit large spatial heterogeneity and temporal variability, the global sea-level rate is estimated as an appropriate average of the rates observed at available locations and computed with sliding windows. We claim that under such heterogeneity the median serves as a better representative of an adequate average than the mean. With this approach, the sea-level rate in 60 to 70 yr windows over the past century is found to be smaller than 1.7-1.9 mm/yr. These upper estimates are in line with those obtained with a scarce list of available long quasi-gapless series
Found in: osebi
Keywords: sea-level rise, median, sliding window, statistically significant trend
Published: 16.03.2021; Views: 459; Downloads: 0
.pdf Fulltext (1,62 MB)

4.
Dynamics of phase synchronization between solar polar magnetic fields assessed with Van der Pol and Kuramoto models
M. Shnirman, Anton Savostianov, Alexander Shapoval, 2020, original scientific article

Abstract: We establish the similarity in two model-based reconstructions of the coupling between the polar magnetic fields of the Sun represented by the solar faculae time series. The reconstructions are inferred from the pair of the coupled oscillators modelled with the Van der Pol and Kuramoto equations. They are associated with the substantial simplification of solar dynamo models and, respectively, a simple ad hoc model reproducing the phenomenon of synchronization. While the polar fields are synchronized, both of the reconstruction procedures restore couplings, which attain moderate values and follow each other rather accurately as the functions of time. We also estimate the evolution of the phase difference between the polar fields and claim that they tend to move apart more quickly than approach each other.
Found in: osebi
Keywords: solar hemispheres, solar faculae, synchronisation, coupled oscillators
Published: 16.03.2021; Views: 493; Downloads: 22
URL Fulltext (0,00 KB)
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5.
Industry equilibrium and welfare in monopolistic competition under uncertainty
Alexander Shapoval, V. M. Goncharenko, 2020, original scientific article

Abstract: This paper offers a new theory that describes the influence of uncertainty on economic fundamentals. This theory posits that uncertainty can improve social welfare. We argue that in an economy, where spending of the customers for the differentiated good correlates with larger substitutability of its varieties, the equilibrium output decreases and the prices increase when uncertainty appears. Alternatively, if such spending and substitutability anti-correlate, the predictions for the price and output changes are reversed. The arguments are based on general equilibrium modeling with the monopolistic competition of firms which produce varieties of the differentiated good under limited information regarding the consumer demand. The impact of uncertainty on the equilibrium is assessed by using the relationship between the weighted elasticity of substitution between varieties, the elasticity of the consumer utility, and the income share spent on the differentiated good.
Found in: osebi
Keywords: monopolistic competition, uncertain demand, general utility, consumer welfare
Published: 22.03.2021; Views: 528; Downloads: 0
.pdf Fulltext (547,06 KB)

6.
7.
Reconstruction of the coupling between solar proxies
M. Shnirman, Anton Savostianov, Alexander Shapoval, 2020, original scientific article

Abstract: The objective of this paper is to establish that algorithms, which reconstruct the coupling between solar proxies based on the properties of the Kuramoto equations, and algorithms, based on the van der Pol equations, might produce similar estimates. To this end, the inverse problem is formulated as follows: reconstruct the coupling based on the solutions of the corresponding equations. For either system of the equations we construct an algorithm solving the inverse problem and establish that there exists a range of moderate values of the correlation such that the algorithms produce practically identical coupling within the established range. The lower boundary of this range is dependent on the half-difference of the oscillators’ frequencies. Then, we apply the two reconstruction algorithms to solar index ISSN and the geomagnetic index aa, which are proxies to the toroidal and poloidal magnetic fields of the Sun respectively. Their correlation belongs within the range that yields the proximity of the coupling reconstructed with all solar cycles from 11 till 23 except 20 and, possibly, 21. Our finding relate the reconstruction of characteristics of solar activity inferred by Blanter et al [Sol. Phys. 2014, 289, 4309; Sol. Phys. 2016, 291, 1003] from the Kuramoto model to the state of the art solar dynamo theory based on the magnetohydrodynamic equations.
Found in: osebi
Keywords: coupled oscillators, synchronization, solar activity
Published: 22.03.2021; Views: 552; Downloads: 0
.pdf Fulltext (1,31 MB)

8.
Observational evidence in favor of scale-free evolution of sunspot groups
Alexander Shapoval, Jean-Louis Le Mouël, M. Shnirman, Vincent Courtillot, 2018, original scientific article

Found in: osebi
Keywords: sunspots, sun, magnetic fields, data analysis
Published: 23.03.2021; Views: 578; Downloads: 20
.pdf Fulltext (451,74 KB)
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9.
Vlijanie struktury sprosa i razmera rynka na bezrabotitsu, neravenstvo dohodov i obščestvennoe blagosostojanie
V. M. Goncharenko, Alexander Shapoval, 2018, original scientific article

Found in: osebi
Published: 24.03.2021; Views: 529; Downloads: 0
.pdf Fulltext (1,02 MB)

10.
Dynamics of sunspot series on time scales from days to years
Jean-Louis Le Mouël, M. Shnirman, Vincent Courtillot, Alexander Shapoval, 2017, original scientific article

Found in: osebi
Keywords: sunspots series, average lifetime, average birthrate, data analysis
Published: 30.03.2021; Views: 519; Downloads: 18
.pdf Fulltext (1,52 MB)
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