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Log-correlated Gaussian fields

来源 :2016随机微分方程和随机过程研讨会(Workshop on SDEs and Stochastic Processes | 被引量 : 0次 | 上传用户：a5346160
【摘 要】
：
　　We calculate the exponents of first passage percolation(FPP)for a specific log-correlated Gaussian field.We also estimate the heat kernel of Liouville Brown
【作 者】
：
Fuxi Zhang 
【机 构】
：
PekingUniversity,China
【出 处】
：
2016随机微分方程和随机过程研讨会(Workshop on SDEs and Stochastic Processes
【发表日期】
：
2016年4期
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　　We calculate the exponents of first passage percolation(FPP)for a specific log-correlated Gaussian field.We also estimate the heat kernel of Liouville Brownian motion associated with it.Our work shows the non-universality of such FPP among log-correlated Gaussian fields,and is motivated by understanding(thediscrete analog for)the random metric associated with Liouville quantum gravity.
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