528 citations
- New York UniversityUS8 papers
- California Institute of TechnologyUS2 papers
- Princeton UniversityUS2 papers
- Eindhoven University of TechnologyNL1 paper
- Hong Kong University of Science and TechnologyHK1 paper
- Lehman CollegeUS1 paper
- Rutgers, The State University of New JerseyUS1 paper
- University of California, Los AngelesUS1 paper
- University of RochesterUS1 paper
- University of WashingtonUS1 paper
- Uppsala UniversitySE1 paper
13 papers
Numerical study of metastability due to tunneling: The quantum string method
Tiezheng Qian, Weiqing Ren, Jing Shi +2
We generalize the string method, originally designed for the study of thermally activated rare events, to the calculation of quantum tunneling rates. This generalization is based o…
Euclidean distortion and the Sparsest Cut
Sanjeev Arora, James R. Lee, Assaf Naor
We prove that every -point metric space of negative type (and, in particular, every -point subset of ) embeds into a Euclidean space with distortion $O(\sqrt{\log n} \cd…
CMV: the unitary analogue of Jacobi matrices
R. Killip, I. Nenciu
We discuss a number of properties of CMV matrices, by which we mean the class of unitary matrices recently introduced by Cantero, Moral, and Velazquez. We argue that they play an e…
Flat convergence for integral currents in metric spaces
Stefan Wenger
It is well known that in compact local Lipschitz neighborhood retracts in Euclidean space flat convergence for integer rectifiable currents amounts just to weak convergence. In the…
A geometric problem and the Hopf Lemma. I
YanYan Li, Louis Nirenberg
This, and its sequel, concern some variations of a classical theorem of A.D. Alexandrov and teh Hopf Lemma.
A point process describing the component sizes in the critical window of the random graph evolution
Svante Janson, Joel Spencer
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n,p) in the critical window p=n^{-1}+lambda n^{-4/3}. In partic…