PDF/PS files of Selected Preprints of Michael Shub
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Convex Dynamics and Its Applications (with R. Adler, B.
Kitchens, M. Martens, C.Pugh and C.Tresser)
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On
the Curvature of the Central Path of Linear Programming Theory,
(with J.P.Dedieu and G.Malajovich)
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Newton Flow and Interior Point Methods
in Linear Programming , (with J.P.Dedieu)
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Unique Ergodicity, Stable Ergodicity
and the Mautner Phenomenon for Diffeomorhisms
, (with C.Pugh and A. Starkov)
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Expanding maps of the Circle Rerevisited:
Positive Lyapunov exponents in a rich family
, (with E. Pujals and L.Robert)
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All, Most, Some Differentiable Dynamical Systems
, to appear Proceedings of ICM2006
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Dynamics of two dimensional Blaschke Products
, (with E. Pujals)
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Entropy
estimates for a family of expanding maps of the circle
, (with R. de la Llave and C.Simo)
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Complexity of Bezout's Theorem VI: Geodesics in the Condition
(Number) Metric
,
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Complexity of Bezout's Theorem VII: Distance Estimates in the
Condition Metric by Carlos Beltran and Michael Shub
,
- Steve Smale and Michael Shub (2007)
Smale horseshoe.
Scholarpedia, 2(11):3012;
- Michael Shub (2007)
Morse-Smale systems. Scholarpedia, 2(3):1785
- On the Geometry and Topology of the Solution Variety for Polynomial System
Solving, by Carlos Beltran and Michael Shub
- Convexity properties of
the condition number, by Carlos Beltran, Jean-Pierre Dedieu, Gregorio Malalovich and Michael Shub