498 citations
- University of California, DavisUS26 papers
- University of California, BerkeleyUS22 papers
- University of California, Santa CruzUS11 papers
- Lawrence Berkeley National LaboratoryUS8 papers
- Stanford UniversityUS8 papers
- University UcinfCL8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Weizmann Institute of ScienceIL7 papers
- The University of TokyoJP6 papers
- University of California, IrvineUS6 papers
- University of California, Santa BarbaraUS6 papers
- Princeton UniversityUS5 papers
22 papers · 1 filter
Boundary behavior of nonnegative solutions of fully nonlinear parabolic equations
Agnid Banerjee, Nicola Garofalo
We study the boundary behavior of viscosity nonnegative solutions of fully nonlinear parabolic Pucci extremal operators. We establish local and global comparison theorems in $C^{1,…
An Upper Bound for Hessian Matrices of Positive Solutions of Heat Equations
Qing Han, Qi S Zhang
We prove global and local upper bounds for the Hessian of log positive solutions of the heat equation on a Riemannian manifold. The metric is either fixed or evolves under the Ricc…
Mirror Extensions of Vertex Operator Algebras
Chongying Dong, Xiangyu Jiao, Feng Xu
The mirror extensions for vertex operator algebras are studied. Two explicit examples which are not simple current extensions of some affine vertex operator algebras of type ar…
A Perfect Set of Reals with Finite Self-Information
Ian Herbert
We examine a definition of the mutual information of two reals proposed by Levin. The mutual information is I(X:Y)=log(sum(2^{K(s)-K^X(s)+K(t)-K^Y(t)-K(s,t)}, (s,t) pairs of finite…
On Constant-Round Concurrent Zero-Knowledge from a Knowledge Assumption
Divya Gupta, Amit Sahai
In this work, we consider the long-standing open question of constructing constant-round concurrent zero-knowledge protocols in the plain model. Resolving this question is known to…
Extremizers for Fourier restriction inequalities: convex arcs
Diogo Oliveira e Silva
We establish the existence of extremizers for a Fourier restriction inequality on planar convex arcs without points with colinear tangents whose curvature satisfies a natural assum…