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

Keywords: sandpile, scale-free distribution, power-law
Published in RUNG: 09.07.2021; Views: 2633; Downloads: 0
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2.
Raspredelenie predprinimatel'skih sposobnostej i migracija : struktura zanjatosti, neravenstvo dohodov i blagosostojanie
D. A. Pokrovskij, Alexander Shapoval, 2015, original scientific article

Abstract: The authors define a general equilibrium model with heterogeneous individuals who are endowed with identical preferences, given by the utility function with constant elasticity of substitution (CES), and with heterogeneous entrepreneurial skills. We find that scale effects linked to migration can be analyzed within the framework of the constructed model because the migration changes the market size together with a market structure. A population growth due to immigration of low-qualified individuals ambiguously affects the share of reciprocal to entrepreneurial   and the inequality in the economy. If the distribution of the inverse entrepreneurial skills has an increasing (decreasing, constant) elasticity, then   decreases (increases, and does not change) and the Gini coefficient increases (decreases and does not change).
Keywords: monopolistic competition, heterogeneous consumers, entrepreneurship, migration, income inequality, welfare
Published in RUNG: 10.06.2021; Views: 2458; Downloads: 0
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3.
Sand density as sandpile descriptor
Alexander Shapoval, M. Shnirman, 2008, original scientific article

Keywords: sandpile, critical density, power law exponent
Published in RUNG: 19.04.2021; Views: 2818; Downloads: 0
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4.
Attractors of nonlinear elliptic equations with a small parameter
Alexander Shapoval, 2001, original scientific article

Keywords: attractors, small parameter, spectrum gap
Published in RUNG: 19.04.2021; Views: 2404; Downloads: 0
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5.
The integral manifold of a nonlinear elliptic equation in a cylinder
Alexander Shapoval, 1997, original scientific article

Keywords: integral manifold, spectrum gap, nonlinear elliptic equation
Published in RUNG: 19.04.2021; Views: 2450; Downloads: 0
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6.
Crossover phenomenon and universality: from random walk to deterministic sand-piles through random sand-piles
Alexander Shapoval, M. Shnirman, 2005, original scientific article

Keywords: sandpile, universality class, power-law exponent
Published in RUNG: 19.04.2021; Views: 2653; Downloads: 0
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7.
Randomness and a step-like distribution of pile heights in avalanche models
Alexander Shapoval, M. Shnirman, 2007, original scientific article

Keywords: sandpile, critical density
Published in RUNG: 19.04.2021; Views: 2604; Downloads: 0
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8.
Prediction problem for target events based on the inter-event waiting time
Alexander Shapoval, 2010, original scientific article

Keywords: loss function, coefficient of variation, earthquake prediction
Published in RUNG: 19.04.2021; Views: 2364; Downloads: 0
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9.
The BTW mechanism on a self-similar image of a square : a path to unexpected exponents
Alexander Shapoval, M. Shnirman, 2012, original scientific article

Keywords: sandpile, power-law probability distribution, universality class
Published in RUNG: 19.04.2021; Views: 2515; Downloads: 0
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10.
When daily sunspot births become positively correlated
Alexander Shapoval, Jean-Louis Le Mouël, M. Shnirman, Vincent Courtillot, 2015, original scientific article

Keywords: solar cycle, sunspots, auto regressive process
Published in RUNG: 19.04.2021; Views: 2616; Downloads: 0
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