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A generalization of Osgood's test and a comparison criterion for integral equations with noise
Osgood’s test comparison criterion time of explosion
2011/1/19
In this work, we prove a generalization of Osgood’s test for the ex-plosion of the solutions of initial-value problems. We also establish a comparison criterion for the solution of integral equations ...
On local comparison between various metrics on Teichmüller spaces
Teichm¨uller space Teichm¨uller metric quasiconformal metric
2011/1/20
There are several Teichm¨uller spaces associated to a surface of infinite topological type, after the choice of a particular basepoint ( a complex or a hyperbolic structure on the surface). These spac...
Comparison of exit moment spectra for extrinsic metric balls
Riemannian submanifolds extrinsic balls torsional rigidity L1-moment spectra
2010/12/1
We prove explicit upper and lower bounds for the L1-moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in ambient Riemannian spaces Nn.