4 citations · 8 across the 10 of their papers we have counts for
16 papers
Failure of a Brunn-Minkowski-type inequality for the Gaussian torsional rigidity
Xuan Hien Nguyen, Alina Stancu
Let be the torsion function for the Ornstein-Uhlenbeck operator on a bounded domain , i.e., the solution of in with $u =…
Edge partitions of the complete graph and a determinant like function
Steven R. Lippold, Mihai D. Staic, Alin Stancu
In this paper we prove the case of a conjecture about the exterior operad . For this we introduce a collection of natural involutions on the set of homo…
The fundamental gap of horoconvex domains in
Xuan Hien Nguyen, Alina Stancu, Guofang Wei
We show that, for horoconvex domains in the hyperbolic space, the product of their fundamental gap with the square of their diameter has no positive lower bound. The result follows…
The vanishing of the fundamental gap of convex domains in
Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen +3
For the Laplace operator with Dirichlet boundary conditions on convex domains in , , we prove that the product of the fundamental gap with the square of the d…
Ancient solutions for flow by powers of the curvature in
Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen +3
We construct a new compact convex embedded ancient solution of the flow in , that lies between two parallel lines. Using this solution we class…
Explicit fundamental gap estimates for some convex domains in
Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen +3
Motivated by an example of Shih, we compute the fundamental gap of a family of convex domains in the hyperbolic plane , showing that for some of them $λ_2 - λ_1 < \fra…