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- Boston UniversityUS23 papers
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33 papers · 1 filter
Semigroups embeddable in hyperplane face monoids
Stuart Margolis, Franco Saliola, Benjamin Steinberg
The left regular band structure on a hyperplane arrangement and its representation theory provide an important connection between semigroup theory and algebraic combinatorics. A fi…
Languages cool as they expand: Allometric scaling and the decreasing need for new words
Alexander M. Petersen, Joel N. Tenenbaum, Shlomo Havlin +2
We analyze the occurrence frequencies of over 15 million words recorded in millions of books published during the past two centuries in seven different languages. For all languages…
Leibniz's Laws of Continuity and Homogeneity
Mikhail G. Katz, David Sherry
We explore Leibniz's understanding of the differential calculus, and argue that his methods were more coherent than is generally recognized. The foundations of the historical infin…
RKKY interaction in gapped or doped graphene
E. Kogan
In our previous work (E. Kogan, Phys. Rev. B {\bf 84}, 115119 (2011)) we calculated RKKY interaction between two magnetic impurities in pristine graphene using the Green's function…
Joint Cache Partition and Job Assignment on Multi-Core Processors
Avinatan Hassidim, Haim Kaplan, Omry Tuval
Multicore shared cache processors pose a challenge for designers of embedded systems who try to achieve minimal and predictable execution time of workloads consisting of several jo…
Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics
Vladimir Kanovei, Mikhail G. Katz, Thomas Mormann
We examine some of Connes' criticisms of Robinson's infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but t…