Lipschitz bijections between boolean functions

We answer four questions from a recent paper of Rao and Shinkar [17] on Lipschitz bijections between functions from {0, 1}n to {0, 1}. (1) We show that there is no O(1)-bi-Lipschitz bijection from Dictator to XOR such that each output bit depends on O(1) input bits. (2) We give a construction for a...

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Bibliographic Details
Main Authors: Johnston, T, Scott, A
Format: Journal article
Language:English
Published: Cambridge University Press 2020