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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > FINITE FREE PROBABILITY:
Reports tagged with finite free probability:
TR22-163 | 16th November 2022
Gil Cohen, Gal Maor

Random Walks on Rotating Expanders

Random walks on expanders are a powerful tool which found applications in many areas of theoretical computer science, and beyond. However, they come with an inherent cost -- the spectral expansion of the corresponding power graph deteriorates at a rate that is exponential in the length of the walk. As ... more >>>


TR23-183 | 24th November 2023
Gil Cohen, Itay Cohen, Gal Maor, Yuval Peled

Derandomized Squaring: An Analytical Insight into Its True Behavior

The notion of the derandomized square of two graphs, denoted as $G \circ H$, was introduced by Rozenman and Vadhan as they rederived Reingold's Theorem, $\mathbf{SL} = \mathbf{L}$. This pseudorandom primitive, closely related to the Zig-Zag product, plays a crucial role in recent advancements on space-bounded derandomization. For this and ... more >>>




ISSN 1433-8092 | Imprint