We consider the problem of constructing birational Darboux coordinates on nilpotent coadjoint orbits of the complex Lie groups SO(N, C) and Sp(N, C). The nilpotent case is the most difficult one. ...Difficulties arise if the Jordan form of matrices from the orbit under consideration contains Jordan blocks of sizes of different parity. The desired coordinates have been found on orbits consisting of matrices with 1 x 1 and 2 x 2 Jordan blocks. Explicit formulas for them are given in the paper. Bibliography: 8 titles.
ON [Z.sub.p]-NORMS OF RANDOM VECTORS Latala, R
Journal of mathematical sciences (New York, N.Y.),
04/2019, Letnik:
238, Številka:
4
Journal Article
Recenzirano
To any n-dimensional random vector X we may associate its L.sub.p-centroid body Z.sub.p(X) and the corresponding norm. We formulate a conjecture concerning the bound on the Z.sub.p(X)-norm of X and ...show that it holds under some additional symmetry assumptions. We also relate our conjecture to estimates of covering numbers and Sudakov-type minoration bounds. Bibliography: 11 titles.
"Ammiel Alcalay’s groundbreaking work, After Jews and Arabs, published in 1993, redrew the geographic, political, cultural, and emotional map of relations between Jews and Arabs in the ...Levantine/Mediterranean world over a thousand-year period. Based on over a decade of research and fieldwork in many disciplines—including history and historiography; anthropology, ethnography, and ethnomusicology; political economy and geography; linguistics; philosophy; and the history of science and technology—the book presented a radically different perspective than that presented by received opinion. Given the radical and iconoclastic nature of Alcalay’s perspective, After Jews and Arabs met great resistance in attempts to publish it. Though completed and already circulating in 1989, it didn’t appear until 1993. In addition, when the book was published, there wasn’t enough space to include its original bibliography, a foundational part of the project. A Bibliography for After Jews and Arabs presents the original bibliography, as completed in 1992, without changes, as a glimpse into the historical record of a unique scholarly, political, poetic, and cultural journey. The bibliography itself had roots in research begun in the late 1970s and demonstrates a very wide arc. In addition to the bibliography, we include two accompanying texts here. In “Behind the Scenes: Before After Jews and Arabs,” Alcalay takes us behind the closed doors of the academic process, reprinting the original readers reports and his detailed rebuttals, and in “On a Bibliography for After Jews and Arabs,” Alcalay contextualizes his own path to the work he undertook, in methodological, historical, and political terms."