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math.PR2018
Asymptotic Properties of Random Voronoi Cells with Arbitrary Underlying Density
Isaac Gibbs, Linan Chen
We consider the Voronoi diagram generated by i.i.d. -valued random variables with an arbitrary underlying probability density function on ,…
math.PR2018
Steep Points of Gaussian Free Fields in Any Dimension
Linan Chen
This work aims to extend the existing results on the Hausdorff dimension of the classical thick point sets of a Gaussian free field (GFF) to a more general class of exceptional set…
math.PR2012★ 8 cited
Gaussian Free Fields and KPZ Relation in R^4
Linan Chen, Dmitry Jakobson
This work aims to extend part of the two dimensional results of Duplantier and Sheffield on Liouville quantum gravity to four dimensions, and indicate possible extensions to other…