[CvGmt News] CVGMT: weekly bulletin

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Fri Nov 23 12:00:02 CET 2012


Subject: CVGMT weekly bulletin

Weekly bulletin of http://cvgmt.sns.it/

--- Summary ---

* Seminars by: Ghezzi
* New papers by: Canuto, Fagnani, Miranda Jr, Serra, Shammugalingam, Ojala, Suomala, Tilli, Koskela, Costea, Rajala
* Modified papers by: Vittone, Di Marino, Ambrosio, Goldman, Sundaramoorthi, Yezzi, Petrache, Bramanti, Miranda Jr, Paronetto, Pinamonti, De Pascale, De Philippis, Pratelli, Pallara, Lunardi, Baroni, Brasco, Mora, Habermann, Chambolle, Sturm, Davoli, De Lellis, Savar?, Mondino, Kinnunen, Dipierro, Massari, Miranda, Canete, Ghiraldin, Rajala, Figalli, Soatto, Gigli, Magnani, Marola, Mennucci, Maniglia, Focardi, Novaga, Angiuli, Schmidt, Caselles

--- Seminars next week ---

* Wednesday 28 nov 2012
time: 17:00
Sala Seminari, Department of Mathematics, Pisa University

Tangency points in almost-Riemannian geometry
Roberta Ghezzi (SNS)

Abstract. An almost-Riemannian structure on a surface is a generalized Riemannian structure whose local orthonormal frames are given by Lie bracket generating pairs of vector fields that can become collinear. Generically, there are three types of points: Riemannian points where the two vector fields are linearly independent, Grushin points where the two vector fields are collinear but their Lie bracket is not, and tangency points where the two vector fields and their Lie bracket are collinear and the missing direction is obtained with one more bracket. In this talk we study local properties of generic almost-Riemannian surfaces near tangency points. Moreover, we consider the Carnot?Caratheodory distance associated with an almost-Riemannian structure and study the problem of Lipschitz equivalence between two such distances on the same compact oriented surface. We characterize the Lipschitz equivalence class of an almost-Riemannian distance in terms of a labelled graph associated with it.

--- New Papers ---

* Serra, Tilli: Nonlinear wave equations as limits of convex minimization problems: proof of a conjecture by De Giorgi

* Tilli: Compliance estimates for two-dimensional problems with Dirichlet region of prescribed length

* Canuto, Fagnani, Tilli: An Eulerian approach to the analysis of Krause's consensus models

* Serra, Tilli: Monotonicity constraints and supercritical Neumann problems

* Tilli: Some explicit examples of minimizers for the irrigation problem

* Tilli: Isoperimetric inequalities for convex hulls and related questions

* Costea, Miranda Jr: Newtonian Lorentz Metric Spaces

* Koskela, Miranda Jr, Shammugalingam: Geometric properties of planar BV-extension domains

* Ojala, Rajala, Suomala: Thin and fat sets for doubling measures in metric spaces

--- Modified Papers ---

* Massari, Miranda, Miranda Jr: The Bernstein Problem in Higher Dimensions

* Ambrosio, Maniglia, Miranda Jr, Pallara: BV functions in abstract Wiener spaces

* Bramanti, Miranda Jr, Pallara: Two characterization of BV functions on Carnot groups via the heat semigroup

* Ambrosio, Maniglia, Miranda Jr, Pallara: Towards a theory of BV functions in abstract Wiener spaces

* De Pascale, Pratelli: Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem

* Caselles, Lunardi, Miranda Jr, Novaga: Perimeter of sublevel sets in infinite dimensional spaces

* Canete, Miranda Jr, Vittone: Some isoperimetric problems in planes with density

* Kinnunen, Marola, Miranda Jr, Paronetto: Harnack's inequality for parabolic De Giorgi classes in metric spaces

* Angiuli, Massari, Miranda Jr: Geometric properties of the heat content

* Caselles, Miranda Jr, Novaga: Total Variation and Cheeger Sets in Gauss Space

* De Lellis, Ghiraldin: An extension of M?ller's identity $\mathbf{Det} = \mathbf{det}$

* Ambrosio, Miranda Jr, Pallara: Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability

* Ambrosio, Gigli, Savar?: Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

* Ambrosio, Ghiraldin: Flat chains with finite size in metric spaces

* Magnani, Rajala: Radon-Nikodym property and area formula for Banach homogeneous  group targets

* Ambrosio, Schmidt: Compactness results for normal currents and the Plateau problem in dual Banach spaces

* Schmidt: ${\rm W}^{2,1+\varepsilon}$ estimates for the Monge-Amp?re equation

* De Lellis, Focardi: Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy

* Davoli, Mora: A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence

* Schmidt: Partial regularity for degenerate variational problems and image restoration models in $\rm BV$

* Ambrosio, Di Marino: Equivalent definitions of $BV$ space and of total variation on metric measure spaces

* Ambrosio, Gigli, Mondino, Rajala: Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure

* Rajala, Sturm: Non-branching geodesics and optimal maps in strong $CD(K,\infty)$-spaces

* Baroni, Habermann: New gradient estimates for parabolic equations

* Ambrosio, Ghiraldin: Compactness of special functions of bounded higher variation

* Brasco, Petrache: A continuous model of transportation revisited

* Chambolle, Goldman, Novaga: Existence and qualitative properties of isoperimetric sets in periodic media

* De Philippis, Figalli: Sobolev regularity for Monge-Amp?re type equations

* Dipierro, Pinamonti: A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian

* Mennucci, Soatto, Sundaramoorthi, Yezzi: Tracking deforming objects by filtering and prediction in the space of curves.

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