Heavy quarks on the lattice: status and perspectives

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The lattice method for the calculation of weak decay amplitudes of heavy quark systems is introduced. Results for leptonic and semi-leptonic decays of heavy mesons and $B-\bar{B}$ mixing are reviewed.
12 pages, LaTeX + cimento.cls (provided), axodraw, 2 postscript files, lecture presented at International School of Physics, "Enrico Fermi", Varenna, Italy, 8-18 July 1997

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