Auctions and mass transportation

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Auctions and mass transportation

2023.

In this survey paper we present classical and recent results relating the auction design and the optimal transportation theory.

Research target: Mathematics

Priority areas: economics

Language: English

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Publication based on the results of:

Stochastic Algorithms in Machine Learning (2022)

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We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space. ...

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Added: October 5, 2026

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Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух q-гипер-геометрических рядов. ...

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Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1

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The Birman–Williams problem on describing the planetary link of a fibered knot K in S^3 has been partially solved. Using Nielsen's theory for the classification of periodic surface homeomorphisms and its close relationship with the theory of gradient-like diffeomorphisms, it is proved that the planetary link of the trefoil (the unique periodic fibered knot of genus ...

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Vyugin I. V., Sashadhar D., Algebra and Number Theory 2026 P. 1–10

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We study the mixing properties of discrete-time and continuous-time dissipative dynamical systems driven by bounded mixing random forces. The continuous-time systems are reduced to discrete-time random dynamical systems generated by time-one maps, so that the main analysis is carried out in the discrete setting. We introduce a class of mixing random forcings whose regular conditional distributions with ...

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We derive bounds on the gradient and Hessian of the log-CDF, ln F(x), of the multivariate normal distribution. These bounds scale linearly and quadratically in ‖x‖ , respectively, with constants depending only on the covariance matrix. We demonstrate the usefulness of these bounds by proving asymptotic normality of the maximum-likelihood estimator of the multivariate probit ...

Added: October 1, 2026

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Added: October 1, 2026

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Added: September 30, 2026

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В аналитической записке обсуждается долгосрочно устойчивый уровень цены на российскую нефть. Это тот уровень, к которому цена нефти, вероятнее всего, будет тяготеть в долгосрочной перспективе. Потребность в его определении возникает по нескольким причинам. Во-первых, цена на нефть остается одним из ключевых экономических показателей российской экономики, определяющих экспорт, обменный курс рубля, прибыль, доходы и расходы бюджета, ...

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