George Herbert Weiss
| George H. Weiss | |
|---|---|
| Born | February 19, 1930 |
| Residence | United States |
| Fields | Mathematician |
| Institutions | National Institutes of Health |
| Known for | Continuous-time random walk |
|
Website mscl | |
George H. Weiss (born February 19, 1930 in New York) is an American Mathematician and Physicist at the National Institutes of Health, known for his work on random walks. He did his undergraduate studies at Columbia University, graduating in 1951, and earned a Ph.D. from the University of Maryland in 1958.[1]
In May 2010 the NIH held a symposium entitled "Mini-Symposium: Random Walks in Biology and Beyond", in honor of Dr. Weiss's 80th birthday and recent retirement.
Research
Main contributions of Dr. Weiss are in the theory of random walks, in particular, the development of the Continuous Time Random Work (CTRW). The original article that introduced CTRW [2] has been cited more than 2000 times, and this work found applications in many different fields. Dr. Weiss himself, has made many significant contributions in applying the CTRW framework in the areas of optical imaging,[3] financial market theory,[4] and other fields.
Dr. Weiss also used the renewal theory techniques to analyze the traffic flow, aiming to understand the problems of traffic delay and congestion Besides his contributions in applications of CTRW to optical imaging, made also significant contributions in general medical research,[5] and has worked extensively on crystalline lattices and their properties.[6]
Selected publications
- Books
- Maradudin, A. A.; Montroll, E. W.; Weiss, G. H. (1963), Theory of Lattice Dynamics in the Harmonic Approximation, Solid State Physics, Academic Press, MR 0154684.
- Weiss, George H. (1994), Aspects and Applications of the Random Walk, Random Materials and Processes, North-Holland Publishing Co., Amsterdam, ISBN 0-444-81606-2, MR 1280031.
- Shmueli, Uri; Weiss, George H. (1995), Introduction to Crystallographic Statistics, International Union of Crystallography Book Series, 6, Oxford University Press, ISBN 978-0198559269.
- Research articles
- Kimura, Motoo; Weiss, George H. (1964), "The stepping stone model of population structure and the decrease of genetic correlation with distance", Genetics, 49 (4): 561–576, PMC 1210594
. - Montroll, Elliott W.; Weiss, George H. (1965), "Random walks on lattices. II", Journal of Mathematical Physics, 6: 167–181, doi:10.1063/1.1704269, MR 0172344.
References
- ↑ Havlin, Shlomo; Nossal, Ralph; Shlesinger, Michael (1991), "George Herbert Weiss", Journal of Statistical Physics, 65 (5–6): 837–838, doi:10.1007/BF01049583.
- ↑ Montroll, Elliott W.; Weiss, George H. (1965). "Random Walks on Lattices. II". Journal of Mathematical Physics. 6 (2): 167. doi:10.1063/1.1704269.
- ↑ Bonner, R. F.; Nossal, R.; Havlin, S.; Weiss, G. H. (1 March 1987). "Model for photon migration in turbid biological media". Journal of the Optical Society of America A. 4 (3): 423. doi:10.1364/JOSAA.4.000423.
- ↑ Masoliver, Jaume; Montero, Miquel; Perelló, Josep; Weiss, George H. (December 2006). "The continuous time random walk formalism in financial markets". Journal of Economic Behavior & Organization. 61 (4): 577–598. doi:10.1016/j.jebo.2004.07.015.
- ↑ Caveness, William F.; Meirowsky, Arnold M.; Rish, Berkeley L.; Mohr, Jay P.; Kistler, J. Philip; Dillon, J. Daniel; Weiss, George H. (May 1979). "The nature of posttraumatic epilepsy". Journal of Neurosurgery. 50 (5): 545–553. doi:10.3171/jns.1979.50.5.0545.
- ↑ Weiss, G. H.; Maradudin, A. A. (1962). "The Baker-Hausdorff Formula and a Problem in Crystal Physics". Journal of Mathematical Physics. 3 (4): 771. doi:10.1063/1.1724280.