Results 21 to 30 of about 283,520 (100)
RIMS Kokyuroku Bessatsu B39 (2013), 215-232, 2011 This is an expository article on the equivariant local index developed by Fujita, Furuta, and the author in arXiv:1008.5007.
arxiv
Joint Modeling of Topics, Citations, and Topical Authority in Academic Corpora [PDF]
arXiv, 2017 Much of scientific progress stems from previously published findings, but searching through the vast sea of scientific publications is difficult. We often rely on metrics of scholarly authority to find the prominent authors but these authority indices do not differentiate authority based on research topics. We present Latent Topical-Authority Indexing (
arxiv
Random fractals and tree-indexed Markov chains [PDF]
arXiv, 2007 We study the size properties of a general model of fractal sets that are based on a tree-indexed family of random compacts and a tree-indexed Markov chain. These fractals may be regarded as a generalization of those resulting from the Moran-like deterministic or random recursive constructions considered by various authors.
arxiv
Estimation of the Szlenk index of Banach Spaces via Schreier spaces [PDF]
arXiv, 2012 For each ordinal $\alpha<\omega_1$, we prove the existence of a space with a basis and Szlenk index $\omega^{\alpha+1}$ which is universal for the class of spaces with Szlenk index not exceeding $\omega^\alpha$. Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.
arxiv
A local equivariant index theorem for sub-signature operators [PDF]
arXiv, 2013 In this paper, we prove a local equivariant index theorem for sub-signature operators which generalizes the Zhang's index theorem for sub-signature operators.
arxiv
On reformulated zagreb indices with respect to tricyclic graphs [PDF]
arXiv, 2014 The authors Mili$\breve{c}$evi$\acute{c}$ et al. introduced the reformulated Zagreb indices, which is a generalization of classical Zagreb indices of chemical graph theory. In the paper, we characterize the extremal properties of the first reformulated Zagreb index.
arxiv
Poisson summation formula and Index Transforms [PDF]
arXivFollowing the work of the second author, a class of summation formulas attached to index transforms is studied in this paper. Our primary results concern summation and integral formulas with respect to the second index of the Whittaker function $W_{\mu,\nu}(z)$.
arxiv
Indices of Vector Fields on Singular Varieties: An Overview [PDF]
arXiv, 2006 Indices of vector fields on (complex analytic) singular varieties have been considered by various authors from several different viewpoints. All these indices coincide with the classical local index of Poincar\'e-Hopf when the ambient variety is a smooth manifold. One has the Schwartz index, the local Euler obstruction, the GSV-index, the virtual index
arxiv