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Greg Lawler: Two-sided loop-erased random walk

Tid: Må 2017-09-04 kl 15.15 - 16.15

Plats: Room F11 (KTH, Lindstedtsvägen 22)

Medverkande: Greg Lawler (University of Chicago)

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The loop-erased random walk is measure on non self-intersection paths obtained by erasing loops from a simple random walk. I will review what is known about this, including the dependence on the spatial dimension, and then discuss a new result showing the existence of the two-sided walk in all dimensions. The two-sided walk can be considered as the distribution of the ``middle’’ of a loop-erased walk.