179,515 research outputs found
Kalyanapuram Parthasarathy
No full textNOTE: to view these items please visit http://dynkincollection.library.cornell.eduRecollections of Kalyanapuram Rangachari Parthasarathy recorded by Eugene Dynkin on January 15, 1982 at K. R. Parthasarathy's home in Delhi, India
Radiowave absorption and connected phenomena in the auroral zone, in relation to primary particles and magnetosphere
No full textUAG R-168, Final Report. Preface excerpt: This report presents the results of a program intended to explore the relations between ground-based auroral observations at College and satellite-based observations of the auroral primary particles, the radiation belt and the magnetosphere. The radio wave absorption aspects of the auroral phenomenon were given major emphasis.The investigation was financially supported by the National Science Foundation Grant GP 2779.Preface – Ch.1. Auroral zone electron flux and its relation to broadbeam radiowave absorption by R. Parthasarathy, F. T. Berkey, and D. Venkatesan – Ch.2. State of the magnetosphere during the breakup phase of the auroras by R. Parthasarathy and T. N. Davis – Ch.3. Diurnal variation of energetic trapped electrons and magnetic activity by J. L. Hook and R. Parthasarathy
EXACT TRANSIENT SOLUTION OF A STATE-DEPENDENT BIRTH-DEATH PROCESS
No full textA power series expression in closed form for the transient probabilities of a state-depen-dent birth-death process is presented with suitable illustrations. Copyright © 2006 P. R. Parthasarathy and R. Sudhesh. This is an open access article dis-tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is prop-erly cited. 1
On Lipschitzian Q0 and INS matrices
No full textAbstractA problem posed by Murthy, Parthasarathy, and Sriparna is settled in this note, viz., a nondegenerate matrix satisfying Property (∗∗) introduced by Murthy, Parthasarathy, and Sabatini is shown to be a Lipschitizian matrix. The analysis is based on the results recently derived on INS matrices. We also prove that the class INS under the assumption of nondegeneracy is complete
From quantum stochastic differential equations to Gisin-Percival state diffusion
No full textStarting from the quantum stochastic differential equations of Hudson and Parthasarathy Commun. Math. Phys. 93, 301 (1984) and exploiting the Wiener-Itô-Segal isomorphism between the boson Fock reservoir space �(L2(�+)�(�n��n)) and the Hilbert space L2(μ), where μ is the Wiener probability measure of a complex n-dimensional vector-valued standard Brownian motion (B(t),t�0), we derive a non-linear stochastic Schrödinger equation describing a classical diffusion of states of a quantum system, driven by the Brownian motion B. Changing this Brownian motion by an appropriate Girsanov transformation, we arrive at the Gisin-Percival state diffusion equation N. Gisin and J. Percival, J. Phys. A 167, 315 (1992). This approach also yields an explicit solution of the Gisin-Percival equation, in terms of the Hudson-Parthasarathy unitary process and a randomized Weyl displacement process. Irreversible dynamics of system density operators described by the well-known Gorini-Kossakowski-Sudarshan-Lindblad master equation is unraveled by coarse-graining over the Gisin-Percival quantum state trajectories. © 2017 Author(s)
Appropriate Similarity Measures for Author Cocitation Analysis
No full textWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
A martingale characterization of canonical commutation and anticommutation relations
No full textUsing a martingale condition and some restrictions on moments up to fourth order the characterisation problem of boson, fermion, and classical brownian motions is studied from a unified point of view entirely within the framework of elementary operator theory. Global commutation and anticommutation rules turn out to be consequences of corresponding commutation and anticommutation rules between past and future observables
"Closing the R&D Gap, Evaluating the Sources of R&D Spending"
No full textBoth spending and tax policies have been implemented in the United States with the goal of stimulating private sector research and development (R&D). Karier questions whether current R&D policy, especially the research and experimentation tax credit, can contribute to closing the gap between nondefense expenditures on R&D in the United States and such expenditures in other countries, such as Japan and Germany. He also explores possible changes to our current R&D policy to make it more effective.
Going Beyond Counting First Authors in Author Co-citation Analysis
No full textThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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