There and back again, part 3

This is part three in a three-part series about recurrence and transience on the integer lattices. Here is part one. Here is part two. Weary and tired, we are approaching the end of our coin-flipping, lattice-exploring adventures, but with one aching question still burning deep within our hearts: Is the random walk on the three-dimensional … More There and back again, part 3

There and back again, part 2

This is part two in a three-part series about recurrence and transience on the integer lattices. Here is part one. Here is part three. In the previous post, we saw that the integer lattice is recurrent. This means that a simple random walk, when starting at the origin , will return to the origin with … More There and back again, part 2

New paper on arXiv: Indistinguishable sceneries on the Boolean hypercube

I’m happy to say that fellow student Uri Grupel and I uploaded a paper to the arXiv recently under the title “Indistinguishable sceneries on the Boolean hypercube” (https://arxiv.org/abs/1701.07667). We had great fun working on it, and most of the theorems are actually pretty simple and do not use heavy mathematical machinery, so I’d like to … More New paper on arXiv: Indistinguishable sceneries on the Boolean hypercube