National Research University – Higher School of Economics

About: National Research University – Higher School of Economics is a education organization based out in Moscow, Russia. It is known for research contribution in the topics: Population & Politics. The organization has 12873 authors who have published 23376 publications receiving 256396 citations.

Strong uniqueness for SDEs in Hilbert spaces with nonregular drift

Abstract: We prove pathwise uniqueness for a class of stochastic differential equations (SDE) on a Hilbert space with cylindrical Wiener noise, whose nonlinear drift parts are sums of the sub-differential of a convex function and a bounded part. This generalizes a classical result by one of the authors to infinite dimensions. Our results also generalize and improve recent results by N. Champagnat and P. E. Jabin, proved in finite dimensions, in the case where their diffusion matrix is constant and nondegenerate and their weakly differentiable drift is the (weak) gradient of a convex function. We also prove weak existence, hence obtain unique strong solutions by the Yamada–Watanabe theorem. The proofs are based in part on a recent maximal regularity result in infinite dimensions, the theory of quasi-regular Dirichlet forms and an infinite dimensional version of a Zvonkin-type transformation. As a main application, we show pathwise uniqueness for stochastic reaction diffusion equations perturbed by a Borel measurable bounded drift. Hence, such SDE have a unique strong solution.

On the structure of the present-day convergence

Abstract: Purpose – A substantial number of researchers have investigated the global economic dynamics of this time to disprove unconditional convergence and refute its very idea, stating the phenomenon of conditional convergence instead. However, most respective papers limit their investigation period with the early or mid-2000s. In the authors’ opinion, some of the global trends which revealed themselves particularly clearly in the second half of the 2000s call for a revision of the convergence issue. The paper aims to discuss these issues. Design/methodology/approach – Several methodologies for measuring the global convergence/divergence trends exist in the economic literature. This paper seeks to contribute to the existing literature on unconditional β-convergence of the per capita incomes at the global level. Findings – In the recent years, the gap between high-income and middle-income countries is decreasing especially rapidly. The gap between high-income and low-income countries, meanwhile, is decreasing at ...

A Hierarchical Structure of Basic Human Values in a Third-Order Confirmatory Factor Analysis

Abstract: This study investigates the hierarchical structure of Schwartz et al.'s (2012) refined theory of basic human values. Data were collected using a revised version of the Portrait Values Questionnaire, which measures the 19 more narrowly defined values. Respondents from nine countries participated (N = 3,261): Finland, Germany, Israel, Italy, New Zealand, Poland, Portugal, Switzerland, and Turkey. Third-order confirmatory factor analyses revealed that the 19 refined values load on values from the earlier catalog of values. Moreover, these values, together with the two new values introduced in the refined theory, load, in turn, on the theoretically postulated four high- er-order values that form the third-order level of analysis. Findings support the proposition that the more narrowly defined values in the refined theory of basic human values are subdimensions of the more broadly defined values in the original theory.

BFKL spectrum of N = 4: non-zero conformal spin

Abstract: We developed a general non-perturbative framework for the BFKL spectrum of planar $$ \mathcal{N} $$ = 4 SYM, based on the Quantum Spectral Curve (QSC). It allows one to study the spectrum in the whole generality, extending previously known methods to arbitrary values of conformal spin n. We show how to apply our approach to reproduce all known perturbative results for the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron eigenvalue and get new predictions. In particular, we re-derived the Faddeev-Korchemsky Baxter equation for the Lipatov spin chain with non-zero conformal spin reproducing the corresponding BFKL kernel eigenvalue. We also get new non-perturbative analytic results for the Pomeron eigenvalue in the vicinity of |n| = 1, Δ = 0 point and we obtained an explicit formula for the BFKL intercept function for arbitrary conformal spin up to the 3-loop order in the small coupling expansion and partial result at the 4-loop order. In addition, we implemented the numerical algorithm of [1] as an auxiliary file to this arXiv submission. From the numerical result we managed to deduce an analytic formula for the strong coupling expansion of the intercept function for arbitrary conformal spin.