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The Complexity of Zero Knowledge

2007
We give an informal introduction to zero-knowledge proofs, and survey their role both in the interface between complexity theory and cryptography and as objects of complexity-theoretic study in their own right.
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Complex Zeros of Algebraic Polynomial with Non-Zero Mean Random Coefficients

Journal of Theoretical Probability, 1999
Let \(a_j\), \(b_j\), \(j=0,\dots,n-1\), be independent normally distributed random variables with a possibly non-zero mean and with a positive variance, and let \(P_n(z)=\sum_{j=0}^{n-1} \eta_jz^j\), \(z\in\Phi\), where \(\eta_j:=a_j+ib_j\) and \(\Phi\) is a compact manifold in the complex plane such that \(0\not\in\Phi\).
Farahmand, K., Grigorash, A.
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On the perturbation of the zeros of complex polynomials

IMA Journal of Numerical Analysis, 2000
The author investigates the deviation of the zeros of a polynomial and improves earlier results by \textit{A. Ostrowski} [Solution of equations and systems of equations. (1960; Zbl 0115.11201), Appendix A] and \textit{A. Schönhage} [The fundamental theorem of algebra in terms of computational complexity. Univ.
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Zeroing in on the H-2 Complex

1989
My career during the last 20 years can be likened to the zooming motion of a photographic lens, starting from a large field, taking in progressively smaller sections, and finally focusing on a single detail — zeroing in on the H-2 complex. It was not an uninterrupted motion, for during those 20 years I have also been busy raising three children, two ...
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