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Shoikhet’s holomorphic noncommutative residue of a holomorphic differential operator D on E for the case when E is an arbitrary vector bundle over an arbitrary compact complex
Keywords: Kaprekar triples, division algorithm, Chinese remainder theorem, components, perfect numbers. (Concerned with sequences A006886 and
Dekking, What is the long range order in the Kolakoski sequence?, The Mathe- matics of Long-Range Aperiodic Order , NATO Adv. Kolakoski, Problem 5304: Self Generating
One can obtain a new proof of the homogenization result (1.4) from proposition 2.1 by using the fact that Ψ is square integrable on Ω and applying the von Neumann ergodic theorem..
We establish a strong law of large numbers and a central limit theorem for the Parrondo player’s sequence of profits, both in a one-parameter family of capital-dependent games and in
One of the purposes of this paper is to point out that there exists an eigenvalue expansion for the transition densities of Brownian motion killed on exiting an arbitrary Borel subset
An extension of the Clark-Ocone formula to a class of adapted processes taking values in an arbitrary Banach space B has been obtained by Mayer-Wolf and Zakai [13, The- orem 3.4]..
The asymptotically leading term of quasinormal modes (QNMs) in the Schwarzschild background, ω n = − in/ 2, is obtained in two straightforward analytical ways for arbitrary spins..
