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- W2247257745 abstract "Loop-erased random walk and it's scaling limit, Schramm--Loewner evolution, have found numerous applications in mathematics and physics. We present a 2 dimensional analogue of LERW, the loop erased random surface. We do this by defining a 2 dimensional spanning tree and declaring that LERS should have the same relation to these 2 trees as LERW has to ordinary spanning trees. Furthermore we present numerical evidence that the growth rate for LERS on a $delta$ fine grid as $delta to 0$ is $2.5269 pm 0.0017$ and we hypothesize that it has an exact value of 48/19. This suggests the possibility of a fractal limiting object for LERS analogous to SLE for LERW." @default.
- W2247257745 created "2016-06-24" @default.
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- W2247257745 date "2015-11-16" @default.
- W2247257745 modified "2023-09-27" @default.
- W2247257745 title "LOOP-ERASED RANDOM SURFACES" @default.
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