Geometry in Present Day Science : Proceedings of the Conference University of Aarhus, Denmark 16-18 January 1998

by Barndorff-Nielsen, O. E.; Jensen, Eva B. Vedel

• ISBN13: 9789810236724
• ISBN10: 9810236727
• Format: Hardcover
• Copyright: 1999-04-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings from a conference on Geometry in Present Day Science held January 16-18, 1997 at the Department of Mathematical Sciences and organized by the Mathematical Research Centre MCAA at Aarhus University, Denmark.

Table of Contents

Preface	v
Quantum geometry	1	(20)
J. Ambjørn
Extending the Fisher metric to density matrices	21	(14)
D. Petz
Cs. Sudar
Geometry of quantum information systems	35	(14)
A. Fujiwara
Information geometric analysis of an interior point method for semidefinite programming	49	(26)
A. Ohara
Diffusion processes, manifolds of exponential densities, and nonlinear filtering	75	(22)
D. Brigo
From computerized to geometric and discrete tomography	97	(12)
R. J. Gardner
The use of the generalized Blaschke-Petkantschin formula in local stereology and its proof by induction	109	(18)
E.B.V. Jensen
J. Nielsen
The stereological estimation of the Euler-Poincare characteristic exemplified with networks of capillaries and cancellous bone	127	(16)
J.R. Nyengaard
H.J.G. Gundersen
Geometry, statistics, and shape	143	(22)
W.S. Kendall
Solutions to nonlinear partial differential equations:A geometric approach	165	(22)
S.D. Peckham
Voronoi diagrams and Morse theory of the distance function	187
D. Siersma