The Klee-Minty random edge chain moves with linear speed

Mathematics – Probability

Scientific paper

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Scientific paper

An infinite sequence of 0's and 1's evolves by flipping each~1 to a~0
exponentially at rate one. When a~1 flips, all bits to its right also flip.
Starting from any configuration with finitely many 1's to the left of the
origin, we show that the leftmost~1 moves right with linear speed. Upper and
lower bounds are given on the speed.

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