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Jet Isomorphism

Charles Fefferman and C. Robin Graham

in The Ambient Metric (AM-178)

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691153131
eISBN:
9781400840588
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153131.003.0008
Subject:
Mathematics, Geometry / Topology

A fundamental result in Riemannian geometry is the jet isomorphism theorem which asserts that at the origin in geodesic normal coordinates, the full Taylor expansion of the metric may be recovered ... More


Numerical Relativistic Hydrodynamics: Finite-Difference Methods

Luciano Rezzolla and Olindo Zanotti

in Relativistic Hydrodynamics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780198528906
eISBN:
9780191746505
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528906.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter is devoted to the study of finite-difference (non-conservative) methods for the numerical solution of partial differential equations. These methods have a long history and provide a ... More


Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena

N. Scafetta, P. Grigolini, P. Hamilton, and B. J. West

in Nonextensive Entropy: Interdisciplinary Applications

Published in print:
2004
Published Online:
November 2020
ISBN:
9780195159769
eISBN:
9780197562024
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195159769.003.0021
Subject:
Earth Sciences and Geography, Atmospheric Sciences

A complex process is often a balance between nonscaling and scaling components. We show how the nonextensive Tsallis g-entropy indicator may be interpreted as a measure of the nonscaling condition ... More


Distributions of High-Frequency Stock Market Observables

Roberto Osorio, Lisa Borland, and Constantino Tsallis

in Nonextensive Entropy: Interdisciplinary Applications

Published in print:
2004
Published Online:
November 2020
ISBN:
9780195159769
eISBN:
9780197562024
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195159769.003.0023
Subject:
Earth Sciences and Geography, Atmospheric Sciences

Power laws and scaling are two features that have been known for some time in the distribution of returns (i.e., price fluctuations), and, more recently, in the distribution of volumes (i.e., ... More


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