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- W2068255321 abstract "We construct a self-avoiding process taking values in the finite Sierpinski gasket, and study its properties. We then study “continuum limit” processes that are suggested by the statistical mechanics of self-avoiding paths on the pre-Sierpinski gasket. We prove that there are three types of continuum limit processes according to the parameters defining the statistical mechanics of self-avoiding paths:(i)the self-avoiding process we construct in this paper;(ii)a deterministic motion along a “Peano curve” on the finite Sierpinski gasket;(iii)a deterministic motion along a line segment." @default.
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- W2068255321 date "1991-12-01" @default.
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- W2068255321 title "Self-avoiding process on the Sierpinski gasket" @default.
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- W2068255321 doi "https://doi.org/10.1007/bf01192550" @default.
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