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This PhD thesis describes the search for, and§analysis of, substructure in the phase-space§distribution of stars within 1-2 kpc of the Sun. §Such substructure, caused by stellar streams, is an§important diagnostic of stellar dynamics and§hierarchical formation of the Galaxy.§While possibly phase-mixed, stellar streams remain§detectable as coherent features in the space of§integrals of motion. This thesis describes the§development of new search techniques§in phase- and [Fe/H]-space to derive "effective"§integrals of motion that are most suitable for a§comparison with the observables. §An application of these techniques to two new data§sets which contain radial velocity- and proper motion§estimates reveals significant "phase-space§overdensities" of stars on similar orbits, of which§some are already known, but at least five are§described here for the first time.§§This thesis also outlines a preperatory study in the§context of GAIA to measure the local gravitational§potential on kpc scale.