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The Klee-Minty random edge chain moves with linear speed

Jozsef Balogh·Robin Pemantle
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Abstract

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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Jozsef Balogh, Robin Pemantle. 2005-06-30. The Klee-Minty random edge chain moves with linear speed. https://arxiv.org/abs/math/0506626

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