Signals and control aspects of optimal mass transport and the Boltzmann entropy

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2010, Pages 1885-1890

  Tannenbaum, Emmanuel ^a   Georgiou, Tryphon ^b   Tannenbaum, Allen ^c,d  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b University of Minnesota   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^d TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; GEOMETRY; NONLINEAR EQUATIONS;

BOLTZMANN ENTROPY; CONTROL ASPECTS; HEAT EQUATION; INFORMATION GEOMETRY; OPTIMAL MASS TRANSPORT; RIEMANNIAN STRUCTURE;

PROBABILITY DISTRIBUTIONS;

EID: 79953140830     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2010.5717821     Document Type: Conference Paper

References (10)

1. S. Angenent, S. Haker, and A. Tannenbaum, "Minimizing flows for the Monge - Kantorovich problem," SIAM J. Math. Analysis, 35: 61-97 (2003).
2. S. Angenent, G. Sapiro, and A. Tannenbaum, "On the affine invariant heat equation for nonconvex curves," Journal of the American Mathematical Society 11: 601-634 (1998).
3. J.-D. Benamou and Y. Brenier, "A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem," Numerische Mathematik 84: 375-393 (2000).
4. John B. Conway, Functions of one complex variable, Springer-Verlag, 1978.
5. T. Georgiou, "Distances and Riemannian metrics for spectral density functions," IEEE Trans. Signal Processing 55: 3995-4004 (2007).
6. T.T.Georgiou, J. Karlsson, and S. Takyar,"Metrics for power spectra: an axiomatic approach," IEEE Trans. on Signal Processing, 57(3): 859-867 (2009).
7. R. Jordan, D. Kinderlehrer, and F. Otto, "The variational formulation of the Fokker-Planck equation," SIAM J. Math. Anal. 29: 1-17 (1998).
8. D. McQuarrie, Statistical Mechanics (2nd edition), University Science Books, 2000.
9. S. Rachev and L. Rüschendorf, Mass Transportation Problems, Volumes I and II, Probability and Its Applications, Springer, New York, 1998.
10. E.I. Verriest and D. Shin, 11Uncertainty principle for generalized diffusions," Int. J. Theor. Phys., 32(2): 333-345 (1993).