A recent result of Ding, Lee and Peres (2012) expressed the cover time of the random walk on a graph in terms of generic chaining for the commute distance. Their argument is based on Dynkin's isomorphism theorem. The purpose of this article is to present an alternative approach to this problem, based only on elementary hitting time estimates and chaining arguments.
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Univ Paris 07, LIAFA, CNRS, F-75205 Paris 13, FranceUniv Paris 07, LIAFA, CNRS, F-75205 Paris 13, France
Magniez, Frederic
Nayak, Ashwin
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Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, CanadaUniv Paris 07, LIAFA, CNRS, F-75205 Paris 13, France
Nayak, Ashwin
Richter, Peter C.
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Univ Paris 11, LRI, CNRS, F-91405 Orsay, FranceUniv Paris 07, LIAFA, CNRS, F-75205 Paris 13, France
Richter, Peter C.
Santha, Miklos
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Univ Paris 07, LIAFA, CNRS, F-75205 Paris 13, France
Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, SingaporeUniv Paris 07, LIAFA, CNRS, F-75205 Paris 13, France