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- Yosef Yomdin
- 1987

An inequality is proved, bounding the growth rates of the volumes of iterates of smooth submanifolds in terms of the topological entropy. ForCx-smooth mappings this inequality implies the entropy… (More)

- Yosef Yomdin
- 1987

We prove that a bounded semialgebraic function can be (piecewise) reparametrized in such a way that all the derivatives up to a fixed orderk, with respect to new coordinates, are small, and the… (More)

- Dmitry Batenkov, Yosef Yomdin
- SIAM Journal of Applied Mathematics
- 2013

In this paper we consider several nonlinear systems of algebraic equations which can be called “Prony-type”. These systems arise in various reconstruction problems in several branches of theoretical… (More)

- Yosef Yomdin
- 1983

- Dmitry Batenkov, Yosef Yomdin
- Math. Comput.
- 2012

Accurate reconstruction of piecewise smooth functions from a finite number of Fourier coefficients is an important problem in various applications. This problem exhibits an inherent inaccuracy, in… (More)

- Yosef Yomdin
- 1991

An Abel differential equation y D p.x/yC q.x/y is said to have a center at a set A D fa1; : : : ; arg of complex numbers if y.a1/ D y.a2/ D D y.ar/ for any solution y.x/ (with the initial value y.a1/… (More)

- Yosef Yomdin, Georges Comte
- Lecture notes in mathematics
- 2004

We present here because it will be so easy for you to access the internet service. As in this new era, much technology is sophistically offered by connecting to the internet. No any problems to face,… (More)

can have ? This problem is usually referred to as the weakened 16th Hilbert problem (see Hilbert [15], Arnold [1, p.313]). Suppose that the foliation defined on the real plane by {df = 0} posseses a… (More)