6,378 research outputs found
On the Local Smoothing for the Schroedinger Equation
We prove a family of identities that involve the solutions to the free
Schreodinger equation. As a consequence of these identities we shall deduce a
lower bound for the local smoothing estimate and a uniqueness criterion
Extremal Coupled Map Lattices
We propose a model for co-evolving ecosystems that takes into account two
levels of description of an organism, for instance genotype and phenotype.
Performance at the macroscopic level forces mutations at the microscopic level.
These, in turn, affect the dynamics of the macroscopic variables. In some
regions of parameter space, the system self-organises into a state with
localised activity and power law distributions.Comment: 4 RevTeX pages, 3 eps figures. Uses psfig.sty. To be published in The
European Physical Journal B (1999
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