Dynein ATPases are the largest known cytoskeletal motors and perform critical functions in cells: carrying cargo along microtubules in the cytoplasm and powering flagellar beating. Dyneins are members of the AAA+ superfamily of ring-shaped enzymes, but how they harness this architecture to produce movement is poorly understood. Here, we have used cryo-EM to… (More)
In this paper we consider an example of a family of Markov chains with a spectral gap and show that it exhibits O(n) cut-oo in the sense of Diaconis. We argue that this, and bandedness, is what lies at the heart of the O(n) phase transition in the k-SAT problem.