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Geometric Analysis for the Metropolis Algorithm on Lipschitz Domains
Geometry comparison Steve Nash sobolev inequality the convergence rate
2015/7/7
This paper gives geometric tools: comparison, Nash and Sobolev inequalities for pieces of the relevent Markov operators, that give useful bounds on rates of convergence for the Metropolis algorithm. A...
Some Singular Limit Laminations of Embedded Minimal Planar Domains
Singular Limit Laminations Embedded Minimal Planar Domains Differential Geometry
2011/9/15
Abstract: In this paper we give two examples of sequences of embedded minimal planar domains in $\mathbb{R}^3$ which converge to singular laminations of $\mathbb{R}^3$. In contrast with the situation ...
We study the holomorphic unitary representations of the Jacobi group based on Siegel-Jacobi domains. Explicit polynomial orthonormal bases of the Fock spaces based on the Siegel-Jacobi disk are obtain...