!!Luigi Ambrosio - Selected publications \\ __BOOKS__\\ \\ [[1] Functions of Bounded Variation and Free Discontinuity Problems.\\ (with N.Fusco and D.Pallara) Oxford University Press, 2000. \\ \\ [[2] Gradient flows in metric spaces and in the space of Probability measures. (with N.Gigli and G.Savarè)\\ Lectures in Mathematics ETH Zurich, Birkhäuser, 2005, second edition in 2008. \\ \\ __PAPERS__ \\ \\ [[1] Existence theory for a new class of variational problems, Archive for Rational Mechanics Analysis, __111__, 291-322, 1990. \\ \\ [[2] Metric space valued functions of bounded variation,\\ Annali della Scuola Normale Superiore, __17__, 439-478, 1990. \\ \\ [[3] Approximation of functionals depending on jumps by elliptic functionals via $\Gamma$-convergence (with V.M.Tortorelli),\\ Communications on Pure and Applied Mathematics, __43__, 999-1036, 1990. \\ \\ [[4] A level set approach for the evolution of surfaces of any codimension\\ (with H.M.Soner), J. Diff. Geom. __43__ (1996), 693-737. \\ \\ [[5] Partial regularity of free discontinuity sets II (with N.Fusco, D.Pallara),\\ Ann. Scuola Norm. Sup. Pisa, __24__ (1997), 39-62. \\ \\ [[6] Currents in metric spaces. (with B.Kirchheim) Acta Mathematica, __185__ (2000), 1-80. \\ \\ [[7] Transport equation and Cauchy probem for $BV$ vector fields. Inventiones Mathematicae, {\bf 158} (2004), 227-260. \\ \\ [[8] Calculus and heat flow in metric measure spaces and applications to spaces with ricci bounds from below.\\ (with N.Gigli, G.Savarè) 2011, to appear on Inventiones Mathematicae, 100pp.