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Generalized Patterson-Sullivan measures for products of Hadamard spaces
Patterson-Sullivan measures Hadamard spaces Metric Geometry
2011/9/14
Abstract: Let $\Gamma$ be a discrete group acting by isometries on a product $X=X_1\times X_2$ of Hadamard spaces. We further require that $X_1$, $X_2$ are locally compact and $\Gamma$ contains two el...
We prove explicit formulas for Chern classes of tensor products of vector bundles, with coefficients given by certain universal polynomials in the ranks of the two bundles.
Tensor products of representations up to homotopy
Tensor products of representations homotopy
2010/12/14
We study the construction of tensor products of representations up to homotopy, which
are the A∞ version of ordinary representations. We provide formulas for the construction
of tensor products of r...
Small Ball Probabilities for Smooth Gaussian fields and Tensor Products of Compact Operators
Small deviations slowly varying functions smooth covariances
2010/12/10
We find the logarithmic L2-small ball asymptotics for a class of zero mean Gaussian fields with covariances having the structure of “tensor product”. The main condition imposed on marginal covariances...