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TCC
2007
Springer
91views Cryptology» more  TCC 2007»
15 years 4 months ago
Lower Bounds for Non-interactive Zero-Knowledge
Abstract. We establish new lower bounds and impossibility results for noninteractive zero-knowledge proofs and arguments with set-up assumptions. – For the common random string m...
Hoeteck Wee
STOC
2007
ACM
94views Algorithms» more  STOC 2007»
15 years 10 months ago
Constructing non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
CORR
2004
Springer
90views Education» more  CORR 2004»
14 years 10 months ago
Non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
SODA
2003
ACM
143views Algorithms» more  SODA 2003»
14 years 11 months ago
Deterministic identity testing for multivariate polynomials
In this paper we present a simple deterministic algorithm for testing whether a multivariate polynomial f(x1, . . . , xn) is identically zero, in time polynomial in m, n, log(d + ...
Richard J. Lipton, Nisheeth K. Vishnoi

Publication
101views
13 years 3 months ago
On the degree and half-degree principle for symmetric polynomials
In this note we aim to give a new, elementary proof of a statement that was first proved by Timofte (2003) [15]. It says that a symmetric real polynomial F of degree d in n variabl...
Cordian Riener