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Asymptotic Primes and Asymptotic Grades on Modules
Journal of Algebra, 1995 The aim of this paper is to study various questions related to sets of prime ideals associated to powers of an ideal \(I\) of a commutative Noetherian ring with identity \(R\) and a finitely generated \(R\)-module \(M\). In several recent papers (mid '80), \textit{D. Katz}, \textit{S. McAdam}, \textit{J. L.
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Total Born cross section of e+e−-pair production by an electron in the Coulomb field of a nucleus
Physics Letters BWe calculate the total Born cross section of the e+e−-pair production by an electron in the field of a nucleus (trident process) using the modern multiloop methods. For general energies we obtain the cross section in terms of converging power series. The
Roman N. Lee +2 more
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Trajectories of photons around a rotating black hole with unusual asymptotics
European Physical Journal C: Particles and FieldsMost black hole solutions are characterized with asymptotically flat, or asymptotically (anti) de-Sitter behaviors, but some black holes with unusual asymptotics have also been constructed, which is believed to provide remarkable insights into our ...
Yong-Zhuang Li, Xiao-Mei Kuang
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Asymptotics of Asynchronicity [PDF]
, 2011 In this article we focus on estimating the quadratic covariation of continuous semimartingales from discrete observations that take place at asynchronous observation times. The Hayashi-Yoshida estimator serves as synchronized realized covolatility for that we give our own distinct illustration based on an iterative synchronization algorithm.
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Rocky Mountain Journal of Mathematics, 2016 Uniformity and proximity are two different ways for defining small scale structures on a set. Coarse structures are large scale counterparts of uniform structures. In this paper, motivated by the definition of proximity, we develop the concept of asymptotic resemblance as a relation between subsets of a set to define a large scale structure on it.
Kalantari, Sh., Honari, B.
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Parton helicities at arbitrary x and $$Q^2$$ Q 2 in double-logarithmic approximation
European Physical Journal C: Particles and FieldsDescription of spin-dependent hadronic processes at high energies in terms of parton helicities is a both effective and technically convenient means. In the present paper, we obtain explicit expressions for the parton helicities when either collinear or ...
B. I. Ermolaev
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On an Asymptotic Integral [PDF]
Proceedings of the Edinburgh Mathematical Society, 1956 1. This note gives an asymptotic evaluation of an integral of the formas n tends to infinity, where is a sequence of real-valued functions. The theorem to be established is a natural extension of B. Levi's generalised Laplace-Darboux theorem (1, 341-51); it gives a rule for evaluating a wider class of asymptotic integrals.
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A Limit Relation for Dunkl-Bessel Functions of Type A and B
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We prove a limit relation for the Dunkl-Bessel function of type BN with multiplicity parameters k_1 on the roots ±ei and k_2 on ±e_i±e_j where k_1 tends to infinity and the arguments are suitably scaled.
Margit Rösler, Michael Voit
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Quantum random walks in one dimension via generating functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We analyze nearest neighbor one-dimensional quantum random walks with arbitrary unitary coin-flip matrices. Using a multivariate generating function analysis we give a simplified proof of a known phenomenon, namely that the walk has linear speed rather ...
Andrew Bressler, Robin Pemantle
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