## Unbiased Bits from Sources of Weak Randomness and Probabilistic Communication Complexity (1988)

Citations: | 184 - 5 self |

### BibTeX

@MISC{Chor88unbiasedbits,

author = {Benny Chor and Oded Goldreich},

title = {Unbiased Bits from Sources of Weak Randomness and Probabilistic Communication Complexity},

year = {1988}

}

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### Abstract

, Introduction and References only) Benny Chor Oded Goldreich MIT \Gamma Laboratory for Computer Science Cambridge, Massachusetts 02139 ABSTRACT \Gamma A new model for weak random physical sources is presented. The new model strictly generalizes previous models (e.g. the Santha and Vazirani model [24]). The sources considered output strings according to probability distributions in which no single string is too probable. The new model provides a fruitful viewpoint on problems studied previously as: ffl Extracting almost perfect bits from sources of weak randomness: the question of possibility as well as the question of efficiency of such extraction schemes are addressed. ffl Probabilistic Communication Complexity: it is shown that most functions have linear communication complexity in a very strong probabilistic sense. ffl Robustness of BPP with respect to sources of weak randomness (generalizing a result of Vazirani and Vazirani [27]). The paper has appeared in SIAM Journal o...