Shmuel Friedland: Difference between revisions

Shmuel Friedland (born 1944 in Tashkent, Uzbek Soviet Socialist Republic)^[1] is an Israeli mathematician.

Friedland studied at the Technion – Israel Institute of Technology, graduating in 1967 with bachelor's degree and in 1971 with doctorate of science under the supervision of Binjamin Schwarz.^[2] As a postdoc Friedland was in 1972/73 at the Weizmann Institute, in 1973/74 at Stanford University, and in 1974/75 at the Institute for Advanced Study. Then he taught at the Hebrew University of Jerusalem, where he became in 1982 a full professor. In 1985 he became a professor at the of University of Illinois at Chicago.^[3]

Besides linear algebra (matrix theory), Friedland does research on a wide variety of mathematics, including complex dynamics and applied mathematics. With Elizabeth Gross, he proved a set-theoretic version of the salmon conjecture posed by Elizabeth S. Allman.^[4]

With Miroslav Fiedler and Israel Gohberg, he shared the 1993 Hans Schneider Prize. Friedland was elected a Fellow of the American Mathematical Society (Class of 2019).

• Nonoscillation and integral inequalities, Bull. Amer. Math. Soc., vol. 80, 1974, pp. 715–717. doi:10.1090/S0002-9904-1974-13565-2
• with Samuel Karlin: Some inequalities for the spectral radius of nonnegative matrices and applications, Duke Mathematical Journal, vol. 42, 1975, pp. 459–490. (subscription required)
• Nonoscillation, disconjugacy and integral inequalities, Memoirs Amer. Math. Soc. 176, 1976
• A lower bound for the permanent of doubly stochastic matrices, Annals of Mathematics, vol. 110, 1979, pp. 167–176. JSTOR 1971250
• with Carl R. de Boor, Allan Pincus: Inverses of infinite sign regular matrices, Trans. Amer. Math. Soc., vol. 274, 1982, pp. 59–68. doi:10.1090/S0002-9947-1982-0670918-7
• Simultaneous similarity of matrices, Bull. Amer. Math. Soc., vol. 8, 1983, pp. 93–95. doi:10.1090/S0273-0979-1983-15094-2
• Simultaneous similarity of matrices, Advances in Mathematics, vol. 50, 1983, pp. 189–265. doi:10.1016/0001-8708(83)90044-0
• with Joel W. Robbin, John H. Sylvester: On the crossing rule, Communications in Pure and Applied Mathematics, vol. 37, 1984, pp. 19–37. doi:10.1002/cpa.3160370104
• with John Willard Milnor: Dynamical properties of plane polynomial automorphisms, Journal of Ergodic Theory & Dynamical Systems, vol. 9, 1989, pp. 67–99. doi:10.1017/S014338570000482X
• Entropy of polynomial and rational maps, Annals of Mathematics, vol. 133, 1991, pp. 359–368. JSTOR 2944341
• with Sa'ar Hersonsky: Jorgensen's inequality for discrete groups in normed algebras, Duke Mathematical Journal, vol. 69, 1993, pp. 593–614. (subscription required)
• with Vlad Gheorghiu, Gilad Gour: Universal uncertainty relations, Physical Review Letters, vol. 111, 2013, p. 230401 doi:10.1103/PhysRevLett.111.230401
• with Stéphane Gaubert and Lixing Han: Perron–Frobenius theorem for nonnegative multilinear forms and extensions, Linear Algebra and its Applications, vol. 438, no. 2, 2013, pp. 738-749. doi:10.1016/j.laa.2011.02.042
• with Giorgio Ottaviani: The number of singular vector tuples and uniqueness of best rank one approximation of tensors, Foundations of Computational Mathematics, vol. 14, 2014, pp. 1209–1242. doi:10.1007/s10208-014-9194-z
• Matrices: Algebra, Analysis and Applications, World Scientific 2015