- L. Ambrosio (Proceedings)

An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below (2011) - L. Ambrosio - J. Bertrand (Submitted Paper)

DC Calculus (2015) - L. Ambrosio - H. Brezis - J. Bourgain - A. Figalli (Accepted Paper:
*Comm. Pure Appl. Math.*)

$BMO$-type norms related to the perimeter of sets (2015) - L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Accepted Paper:
*Comm. Partial Differential Equations*)

Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case (2012) - L. Ambrosio - M. Colombo - S. Di Marino (Accepted Paper:
*Advanced Studies in Pure Mathematics: "Variational methods for evolving objects"*)

Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope (2012) - L. Ambrosio - M. Colombo - A. Figalli (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Existence and uniqueness of maximal regular flows for non-smooth vector fields (2015) - L. Ambrosio - M. Colombo - A. Figalli (Accepted Paper:
*Duke Math. J.*)

On the Lagrangian structure of transport equations: the Vlasov-Poisson system (2017) - L. Ambrosio - G. Crasta - V. De Cicco - G. De Philippis (Accepted Paper:
*Manuscripta Math.*)

A nonautonomous chain rule in $W^{1,p}$ and in $BV$ (2012) - L. Ambrosio - G. Da Prato - B. Goldys - D. Pallara (
*Comm. P. D. E.*)

Bounded variation with respect to a log-concave measure (2012) - L. Ambrosio - C. De Lellis - T. Schmidt (
*J. Reine Angew. Math.*)

Partial regularity for mass-minimizing currents in Hilbert spaces (2018) - L. Ambrosio - G. De Philippis - B. Kirchheim (
*Rend. Lincei - Mat. e Appl.*)

Regularity of optimal transport maps and partial differential inclusions (2011) - L. Ambrosio - G. De Philippis - L. Martinazzi (
*Manuscripta Math.*)

Gamma-convergence of nonlocal perimeter functionals (2011) - L. Ambrosio - S. Di Marino (
*J. Funct. Anal.*)

Equivalent definitions of $BV$ space and of total variation on metric measure spaces (2014) - L. Ambrosio - S. Di Marino - G. Savaré (Submitted Paper)

On the duality between p-Modulus and probability measures (2013) - L. Ambrosio - M. Erbar - G. Savaré (Submitted Paper)

Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces (2015) - L. Ambrosio - J. Feng (Submitted Paper)

On a class of first order Hamilton-Jacobi equations in metric spaces (2013) - L. Ambrosio - A. Figalli (Accepted Paper:
*Ann. Fac. Sci. Toulouse Math.*)

Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces (2010) - L. Ambrosio - A. Figalli - G. Friesecke - J. Giannoulis - T. Paul (Accepted Paper:
*Comm. Pure Appl. Math.*)

Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data (2011) - L. Ambrosio - A. Figalli - E. Runa (Accepted Paper:
*Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.*)

On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces (2012) - L. Ambrosio - R. Ghezzi - V. Magnani (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

BV functions and sets of finite perimeters in sub-Riemannian manifolds (2015) - L. Ambrosio - F. Ghiraldin (
*Analysis and Geometry in Metric Spaces*)

Compactness of special functions of bounded higher variation (2012) - L. Ambrosio - F. Ghiraldin (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Flat chains with finite size in metric spaces (2012) - L. Ambrosio - N. Gigli - A. Mondino - T. Rajala (Accepted Paper:
*Transactions of the AMS*)

Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure (2012) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)

Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)

Metric measure spaces with Riemannian Ricci curvature bounded from below (2011) - L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)

Bakry-Emery curvature-dimension condition and Riemannian Ricci curvature bounds (2012) - L. Ambrosio - M. Miranda Jr - D. Pallara (
*Anal. Geom. Metr. Spaces*)

Some fine properties of $BV$ functions on Wiener spaces (2015) - L. Ambrosio - A. Mondino - G. Savaré (Accepted Paper:
*Journal of Geometric Analysis*)

On the Bakry-Èmery condition, the gradient estimates and the Local-to-Global property of $RCD^*(K,N)$ metric measure spaces (2014) - L. Ambrosio - A. Pinamonti - G. Speight (
*Advances in Mathematics*)

Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs (2014) - L. Ambrosio - T. Rajala (Accepted Paper:
*Ann. Mat. Pura Appl.*)

Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces (2012) - L. Ambrosio - T. Schmidt (
*Proc. Lond. Math. Soc. (3)*)

Compactness results for normal currents and the Plateau problem in dual Banach spaces (2013) - L. Ambrosio - D. Trevisan (
*Analysis and PDE*)

Well posedness of Lagrangian flows and continuity equations in metric measure spaces (2014) - L. Ambrosio - D. Trevisan (Preprint)

Lecture notes on the DiPerna-Lions theory in abstract measure spaces (2015) - L. Beck - T. Schmidt (
*J. Funct. Anal.*)

Convex duality and uniqueness for $\rm BV$-minimizers (2015) - G. Bellettini - S. Kholmatov (Submitted Paper)

Minimizing movements for mean curvature flow of partitions (2017) - A. Bonfiglioli - E. Lanconelli - V. Magnani - M. Scienza (
*Proc. Amer. Math. Soc.*)

H-convex distributions in stratified groups (2013) - V. Chousionis - V. Magnani - J. Tyson (
*Calc. Var. Partial Differential Equations*)

Removable sets for Lipschitz harmonic functions on Carnot groups (2015) - G. Citti - M. Manfredini - A. Pinamonti - F. Serra Cassano (Accepted Paper:
*JMPA*)

Poincaré-type inequality for Lipschitz continuous vector fields (2013) - G. De Philippis - A. Figalli (Accepted Paper:
*Invent. Math.*)

$W^{2,1}$ regularity for solutions of the Monge-Ampère equation (2012) - G. De Philippis - A. Figalli (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Higher integrability for minimizers of the Mumford-Shah functional (2013) - S. Di Marino (Phd Thesis)

Recent advances on BV and Sobolev Spaces in metric measure spaces (2014) - S. Di Marino (Submitted Paper)

Sobolev and BV spaces on metric measure spaces via derivations and integration by parts (2014) - S. Di Marino - G. Speight (
*Proceedings of the American Mathematical Society*)

The p-Weak Gradient Depends on p (2014) - S. Nardulli - A. Enrique Muñoz Flores (Submitted Paper)

Generalized compactness for finite perimeter sets and applications to the isoperimetric problem (2015) - M. Erbar - M. Huesmann (
*Calculus of Variations*)

Curvature bounds for configuration space (2014) - S. Eriksson-Bique - J. Gill - P. Lahti - N. Shanmugalingam (Submitted Paper)

Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces (2018) - F. Ferrari - A. Pinamonti (Accepted Paper:
*Potential Analysis*)

Characterization by asymptotic mean formulas of q-harmonic functions in Carnot groups (2014) - N. Garofalo - A. Mondino (Accepted Paper:
*Nonlinear Analysis TMA*)

Li-Yau and Harnack type inequalities in $RCD^*(K,N)$ metric measure spaces (2013) - R. Ghezzi - F. Jean (Submitted Paper)

Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds (2013) - F. Ghiraldin (Submitted Paper:
*ESIAM: COCV*)

Variational approximation of a functional of Mumford-Shah type in codimension higher than one (2013) - N. Gigli - A. Mondino (
*Journal de Math. Pures et Appl.*)

A PDE approach to nonlinear potential theory in metric measure spaces (2012) - N. Gigli - A. Mondino - T. Rajala (Accepted Paper:
*J. Reine Angew. Math.*)

Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below (2013) - N. Shanmugalingam - P. Lahti - R. Jones (Submitted Paper)

Modulus of families of sets of finite perimeter and quasiconformal maps between metric spaces of globally $Q$-bounded geometry (2018) - R. Korte - V. Magnani (
*Illinois J. Math.*)

Measure of curves in graded groups (2012) - N. Shanmugalingam - P. Lahti - L. Malý - G. Speight (Accepted Paper:
*Journal of Geometric Analysis*)

Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient (2018) - V. Magnani (
*Colloq. Math.*)

An area formula in metric spaces (2011) - V. Magnani (
*Bruno Pini Mathematical Analysis Seminar*)

Lipschitz estimates for convex functions with respect to vector fields (2012) - V. Magnani (
*Proc. Roy. Soc. Edinburgh Sect. A*)

On a measure theoretic area formula (2015) - V. Magnani (
*Indiana Univ. Math. J.*)

A new differentiation, shape of the unit ball and perimeter measure (2017) - V. Magnani - J. Malý - S. Mongodi (
*J. Geom. Anal.*)

A low rank property and nonexistence of higher dimensional horizontal Sobolev sets (2015) - V. Magnani - T. Rajala (
*Int. Math. Res. Not. IMRN*)

Radon-Nikodym property and area formula for Banach homogeneous group targets (2014) - V. Magnani - M. Scienza (
*Ann. Scuola Norm. Sup. Pisa Cl. Sci.*)

Characterizations of differentiability for h-convex functions in stratified groups (2014) - V. Magnani - J. Tyson - D. Vittone (
*J. Anal. Math.*)

On transversal submanifolds and their measure (2015) - V. Magnani - A. Zapadinskaya (
*Selecta Math. (N.S.)*)

A Gromov's dimension comparison estimate for rectifiable sets (2017) - A. Mondino (Accepted Paper:
*Crelle's Journal*)

A new notion of angle between three points in a metric space (2013) - A. Mondino - S. Nardulli (Accepted Paper:
*Communications in Analysis and Geometry*)

Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions (2012) - A. Mondino - T. Rivière (Accepted Paper:
*Advances in Calc. Var.*)

Immersed Spheres of Finite Total Curvature into Manifolds (2011) - A. Mondino - T. Rivière (
*Advances in Math.*)

Willmore Spheres in Compact Riemannian Manifolds (2012) - A. Mondino - J. Schygulla (Accepted Paper:
*Annales IHP-Anal. Non Lin.*)

Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds (2012) - S. Mongodi (
*Manuscripta Mathematica*)

Some applications of metric currents to complex analysis (2013) - T. Ojala - T. Rajala - V. Suomala (
*Studia Math.*)

Thin and fat sets for doubling measures in metric spaces (2012) - T. Rajala (
*J. Funct. Anal.*)

Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm (2012) - T. Rajala (
*Calc. Var. Partial Differential Equations*)

Local Poincaré inequalities from stable curvature conditions on metric spaces (2012) - T. Rajala (
*Discrete Contin. Dyn. Syst.*)

Improved geodesics for the reduced curvature-dimension condition in branching metric spaces (2013) - T. Rajala - K. T. Sturm (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Non-branching geodesics and optimal maps in strong $CD(K,\infty)$-spaces (2012) - T. Schmidt (
*Adv. Math.*)

${\rm W}^{2,1+\varepsilon}$ estimates for the Monge-Ampère equation (2013) - T. Schmidt (
*Indiana Univ. Math. J.*)

Partial regularity for degenerate variational problems and image restoration models in $\rm BV$ (2014) - T. Schmidt (
*Proc. Am. Math. Soc.*)

Strict interior approximation of sets of finite perimeter and functions of bounded variation (2015) - G. Speight (
*Revista Matematica Iberoamericana*)

Lusin Approximation and Horizontal Curves in Carnot Groups (2015) - D. Vittone (
*Geometric measure theory and real analysis, CRM Series, Ed. Norm., Pisa.*)

The regularity problem for sub-Riemannian geodesics (2014)