Amnon Ta-Shma

We deal with the problem of extracting as much randomness as possible

from a defective random source.

We devise a new tool, a ``merger'', which is a function that accepts

d strings, one of which is uniformly distributed,

and outputs a single string that is guaranteed ...
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Pavel Pudlak

We shall prove a lower bound on the number of edges in some bounded

depth graphs. This theorem is stronger than lower bounds proved on

bounded depth superconcentrators and enables us to prove a lower bound

on certain bounded depth circuits for which we cannot use

superconcentrators: we prove that ...
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Mrinal Kumar, Ben Lee Volk

We study the problem of constructing explicit families of matrices which cannot be expressed as a product of a few sparse matrices. In addition to being a natural mathematical question on its own, this problem appears in various incarnations in computer science; the most significant being in the context of ... more >>>