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The Ptolemy coordinates for boundary-unipotent SL(n; C)-representations of a 3-manifold group were introduced in [7] inspired by the A-coordinates on higher Teichmuller space due to Fock and Goncha...
We consider a general class of two-time-scale Markov chains whose transition rate matrices depend on a parameterI. We assume that some transition rates of the Markov chain will tend to infinity as I...
While the 3-dimensional analogue of Sperner’s problem in the plane was known to be complete in class PPAD, the complexity of 2D-SPERNER itself is not known to be PPAD-complete or not. In this paper, w...
非负矩阵分解(NMF)是一种基于局部的数据挖掘方法。算法的非负约束使其很适合处理图像等非负数据。然而,原始的NMF 算法和多数改进的NMF 算法并未明确考虑数据的几何结构。本文提出一种改进的非负矩阵分解算法,在矩阵分解过程中明确考虑了数据集的几何信息,包括类内数据和类间数据的关系。在COIL20 和ALOI 数据库上的测试结果表明了算法的有效性。
Chunked codes are a variation of random linear network codes with low computational complexities. In chunked codes, the packets in a file are grouped into small (non-overlapped or overlapped) chunks, ...
We consider the problem of finding the maximum area parallelogram (MAP) inside a given convex polygon. Our main result is an algorithm for computing the MAP in an n-sided polygon in O(n2) time. Achie...
This paper develops a structural credit risk model to characterize the difference between the economic and recorded default times for a firm.
Recently Frank & Seiringer have shown an isoperimetric inequality for nonlocal perimeter functionals arising from Sobolev seminorms of fractional order. This isoperimetric inequality is improved here ...
The Liouville space spin relaxation theory equations are reformulated in such a way as to avoid the computationally expensive Hamiltonian diagonalization step, replacing it by numerical evaluation of ...
The series-parallel (SP) graphs are those containing no topological K4 and are considered trivial.We relax the prohibition distinguishing the SP graphs by forbidding only embeddings of K4 whose edges ...
We present new rectangular mixed nite elements for linear elasticity.The approach is based on a modi cation of the Hellinger-Reissner functional in which the symmetry of the stress eld is enforced w...
For every graph H, there exists a polynomial-time algorithm deciding if a planar input graph G can be contracted to H. However, the degree of the polynomial depends on the size of H. In this paper, we...
The lowest order nonconforming rectangular element in three dimen-sions involves 54 degrees of freedom for the stress and 12 degrees of freedom for the displacement.
We construct harmonic functions on random graphs given by Delaunay triangulations of ergodic point processes as the limit of the zero-temperature harness process.
We use earlier results on the classification of the positive energy unitary irreducible representations of the N-extended D=4 conformal superalgebras su(2,2/N). These results are applied to the reduct...

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