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SLE_κ(κ>4)的Cardy公式

On Cardy's Formula of SLE_κ(κ > 4)
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摘要 Cardy给出临界渝流族横穿一个长方形而不碰到长方形的上边和下边的概率估计公式;Lawler,Schramm和Werner给出了参数κ=6的通弦随机Loewner演变(SLE6)穿过长方形的类似的概率估计公式.在本文,我们将后者的结果推广到κ>4的情形. Cardy gave a probabilistic estimation for the critical percolation clusters crossing a rectangle without touching the upper and lower boundaries of the rectangle. Lawler, Schramm and Werner obtained similar probabilistic estimation for the chordal stochastic Loewner evolution with parameter 6 (SLE6) crossing a rectangle. In this paper, we generalize the latter result to the case k 〉 4.
出处 《应用概率统计》 CSCD 北大核心 2014年第1期23-30,共8页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金(11161004) 广西自然科学基金(2013GXNSFAA019015)资助
关键词 SLEk Cardy公式 临界渝流族 SLEk, Cardy's formula, critical percolation clusters.
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参考文献10

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  • 3Lawler, G.F., Schramm, O. and Werner, W., Values of Brownian intersection exponents, I: half-plane exponents, Aeta Mathematica, 187(2)(2001a), 237-273.
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