Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605666 | Applied and Computational Harmonic Analysis | 2006 | 19 Pages |
Abstract
The Mumford process X is a stochastic distribution modulo constant and cannot be defined as a stochastic distribution invariant in law by dilations. We present two expansions of X—using wavelet bases—in X=X0+X1 which allow us to confine the divergence on the “small term” X1 and which respect the invariance in law by dyadic dilations of the process.
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