Biography:Michael Saks (mathematician)
Michael Ezra Saks is an American mathematician. He is currently the Department Chair of the Mathematics Department at Rutgers University (2017-) and from (2006–2010) was director of the Mathematics Graduate Program at Rutgers University. Saks received his Ph.D from the Massachusetts Institute of Technology in 1980 after completing his dissertation entitled Duality Properties of Finite Set Systems under his advisor Daniel J. Kleitman.
A list of his publications and collaborations may be found at DBLP.
In Kahn and Saks (1984) it was shown there exist a tight information-theoretical lower bound for sorting under partially ordered information up to a multiplicative constant.
In  the first super-linear lower bound for the noisy broadcast problem was proved. In a noisy broadcast model, [math]n+1[/math] processors [math]P_0,P_1,\ldots,P_n[/math] are assigned a local input bit [math]x_i[/math]. Each processor may perform a noisy broadcast to all other processors where the received bits may be independently flipped with a fixed probability. The problem is for processor [math]P_0[/math] to determine [math]f(x_1,x_2,\ldots,x_n)[/math] for some function [math]f[/math]. Saks et al. showed that an existing protocol by Gallager was indeed optimal by a reduction from a generalized noisy decision tree and produced a [math]\Omega(n\log(n))[/math] lower bound on the depth of the tree that learns the input.
In Beame et al. (2003) the first time–space lower bound trade-off for randomized computation of decision problems was proved.
Saks holds positions in the following journal editorial boards:
- SIAM J. on Computing, Associate Editor
- Combinatorica, Editorial Board member
- Journal of Graph Theory, Editorial Board member
- Discrete Applied Mathematics, Editorial Board member
- Saks, Michael Ezra (1980). Duality Properties of Finite Set Systems (Ph.D. thesis). Massachusetts Institute of Technology. OCLC 7447661.
- Michael E. Saks at DBLP Bibliography Server
- Cacm Staff (March 2017), "ACM Recognizes New Fellows", Communications of the ACM 60 (3): 23, doi:10.1145/3039921 .
- "Recipients" (in en). https://awards.acm.org/fellows/award-winners.
- Kahn, J.; Saks, M. (1984). "Every poset has a good comparison". Proceedings of the sixteenth annual ACM symposium on Theory of computing - STOC '84. pp. 299. doi:10.1145/800057.808694. ISBN 978-0897911337.
- Gallager, R. G. (1988). "Finding parity in simple broadcast networks". IEEE Transactions on Information Theory 34 (2): 176–180. doi:10.1109/18.2626.
- Beame, P.; Saks, M.; Sun, X.; Vee, E. (2003). "Time–space trade-off lower bounds for randomized computation of decision problems". Journal of the ACM 50 (2): 154. doi:10.1145/636865.636867.
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