21 citations · 31 across the 7 of their papers we have counts for
7 papers
On tail probability of the covariance matrix in Eldan's stochastic localization
Qingyang Guan
The Eldan's stochastic localization is a new kind of stochastic evolution in the space of probability measures which provides a novel way to study high dimensional convex body. A c…
A note on Bourgain's slicing problem
Qingyang Guan
This note is to study Bourgain's slicing problem following the routes investigated in the last decade. We show that the slicing constant is bounded by , $n\ge…
The Gaussian Correlation Inequality for Symmetric Convex Sets
Guan Qingyang
The paper is to prove the Gaussian correlation conjecture stating that, under the standard Gaussian measure, the measure of the intersection of any two symmetric convex sets is gre…
Cadlag curves of SLE driven by Levy processes
Qingyang Guan
Schramm Loewner Evolutions (SLE) are random increasing hulls defined through the Loewner equation driven by Brownian motion. It is known that the increasing hulls are generated by…
Boundary Harnack inequalities for regional fractional Laplacian
Qingyang Guan
We consider boundary Harnack inequalities for regional fractional Laplacian which are generators of censored stable-like processes on G taking κ(x,y)/|x-y|^{n+α}dxdy, x,y\in G as t…
On regularity of SLE_8 curves
Qingyang Guan
This paper has been withdrawn by the author due to essential mistakes in some previous versions.