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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017-10-09
摘要
We use invasion 滲流 to compute numerical values for bond and site 滲流 thresholds pc (existence of an infinite cluster) and pu (uniqueness of the infinite cluster) of tesselations {P, Q} of the hyperbolic plane, where Q faces meet at each vertex and each face is a P-gon. Our values are accurate to six or seven decimal places, allowing us to explore their functional dependency on P and Q and to numerically compute critical exponents. We also prove rigorous upper and lower bounds for pc and pu that can be used to find the 縮放律 of both thresholds as a function of P and Q.
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