The conformally invariant measure on self-avoiding loops
نویسندگان
چکیده
منابع مشابه
The Conformally Invariant Measure on Self-avoiding Loops
The aim of the present paper is to construct and describe a natural measure on the set of self-avoiding loops in the plane and on any Riemann surface. By a self-avoiding loop on a surface S, we mean a continuous injective map from the unit circle into S modulo monotone reparametrizations (i.e. we look only at the trace of the loop and forget about its parametrization). We will construct a measu...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2007
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-07-00557-7