Giovanni Alberti
[alberti]
Full Professor, Dip. Mat. Univ. Pisa
Email: giovanni.alberti AT unipi.it
Home-page: http://pagine.dm.unipi.it/alberti
arxiv id: 0000-0001-9996-4376
Available papers (35):
[plain text]- G. Alberti - D. Bate - A. Marchese (Preprint)
On the closability of differential operators (2023) - G. Alberti - A. Massaccesi - E. Stepanov (J. Diff. Geom.)
On the geometric structure of currents tangent to smooth distributions (2022) - G. Alberti - A. Marchese (Preprint)
On the structure of flat chains with finite mass (2022) - G. Alberti - G. Buttazzo - S. Guarino Lo Bianco - E. Oudet (Accepted Paper: Networks and Heterogeneous Media)
Optimal reinforcing networks for elastic membranes (2019) - G. Alberti - E. Stepanov - D. Trevisan (Accepted Paper: J. Funct. Anal.)
Integration of nonsmooth $\boldsymbol{2}$-forms: from Young to Itô and Stratonovich (2019) - G. Alberti - G. Crippa - A. L. Mazzucato (Submitted Paper)
Loss of regularity for the continuity equation with non-Lipschitz velocity field (2018) - G. Alberti - G. Crippa - A. L. Mazzucato (Accepted Paper: Journal of the American Mathematical Society)
Exponential self-similar mixing by incompressible flows (2018) - G. Alberti - M. Ottolini (Nonlinear Analysis)
On the structure of continua with finite length and Golab's semicontinuity theorem (2017) - G. Alberti - A. Massaccesi (Rend. Lincei Mat. Appl.)
On some geometric properties of currents and Frobenius theorem (2017) - G. Alberti - S. Bianchini - L. Caravenna (Journal of Differential Equations)
Eulerian, Lagrangian and Broad continuous solutions to a balance law with non convex flux I (2016) - G. Alberti - A. Marchese (Geom. Funct. Anal. (GAFA) )
On the differentiability of Lipschitz functions with respect to measures in the Euclidean space (2016) - G. Alberti - S. Bianchini - G. Crippa (Journal of the European Mathematical Society (JEMS))
A uniqueness result for the continuity equation in two dimensions (2014) - G. Alberti - G. Crippa - A. L. Mazzucato (Comptes Rendus Mathématique)
Exponential self-similar mixing and loss of regularity for continuity equations (2014) - G. Alberti - S. Bianchini - G. Crippa (Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5))
Structure of level sets and Sard-type properties of Lipschitz maps (2013) - G. Alberti - S. Bianchini - G. Crippa (Accepted Paper: Revista Matemática Iberoamericana)
On the L^p differentiability of certain classes of functions (2012) - G. Alberti - A. DeSimone (Arch. Rational Mech. Anal.)
Quasistatic evolution of sessile drops and contact angle hysteresis (2011) - G. Alberti - R. Choksi - F. Otto (J. Amer. Math. Soc.)
Uniform energy distribution for an isoperimetric problem with long-range interactions (2009) - G. Alberti
Geometric Measure Theory (2005) - G. Alberti - M. Csörnyei - A. Pelczynski - D. Preiss (J. Geom. Anal.)
BV has the bounded approximation property (2005) - G. Alberti - M. Csörnyei - D. Preiss
Structure of null sets in the plane and applications (2005) - G. Alberti (Ricerche Mat.)
Distributional Jacobian and singularities of Sobolev maps (2005) - G. Alberti - A. DeSimone (Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.)
Wetting of rough surfaces: a homogenization approach (2005) - G. Alberti - S. Baldo - G. Orlandi (Indiana Univ. Math. J.)
Variational convergence for functionals of Ginzburg-Landau type (2005) - G. Alberti - S. Baldo - G. Orlandi (J. Eur. Math. Soc.)
Functions with prescribed singularities (2003) - G. Alberti - G. Bouchitté - G. Dal Maso (Calc. Var. Partial Differential Equations)
The calibration method for the Mumford-Shah functional and free-discontinuity problems (2003) - G. Alberti (Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8))
Un risultato di convergenza variazionale per funzionali di tipo Ginzburg-Landau in dimensione qualunque (2001) - G. Alberti - M. Csörnyei - M. Laczkovich - D. Preiss (Real Anal. Exchange)
Denjoy-Young-Saks theorem for approximate derivatives revisited (2000) - G. Alberti - L. Ambrosio - X. Cabré (Acta Appl. Math.)
On a long standing conjecture of E. De Giorgi: old and recent results (2000) - G. Alberti - G. Bouchitté - G. Dal Maso (C. R. Acad. Sci. Paris Sér. I Math.)
The Calibration Method for the Mumford-Shah Functional (1999) - G. Alberti (Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) )
Some Remarks about a Notion of Rearrangement (1999) - G. Alberti - S. Müller (Comm. Pure Appl. Math.)
A New Approach to Variational Problems with Multiple Scales (1999) - G. Alberti (lecture notes)
Variational Models for Phase Transitions, an Approach via Gamma-Convergence (1998) - G. Alberti - C. Mantegazza (Bollettino Un. Mat. Ital. (7))
A Note on the Theory of SBV Functions (1997) - G. Alberti - G. Bouchitté - P. Seppecher (Arch. Rational Mech. Anal.)
Phase Transition with Line Tension Effect (1996) - G. Alberti - L. Ambrosio (Math. Zeit.)
A Geometrical Approach to Monotone Functions in ${\mathbb R}^n$ (1996)
Seminars:
- 10 sep 2021: The vanishing mass conjecture and related geometric questions
- 14 oct 2015: Sulla proprietà di Lusin generalizzata/ On a generalized Lusin property
- 15 jun 2015: Introduction to minimal surfaces and finite perimeter sets
- 4 apr 2012: Lusin property and Sard Theorem for Sobolev maps
- 16 feb 2011: Quasi-static evolution and contact angle hysteresis in capillarity
- 7 mar 2007: Calibrazioni, superifici minime e disuguaglianza isoperimetrica
- 23 nov 2000: Misure rettificabili ed insiemi di misura nulla nel piano
Speaker:
- 16 sep 2024 - 20 sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso
- 9 sep 2024 - 13 sep 2024: Summer school in fluid dynamics and nonlinear PDEs
- 17 jun 2024 - 21 jun 2024: Geometric Measure Theory and applications 2024
- 1 dec 2023 - 2 dec 2023: Curvature-driven geometric problems
- 12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
- 29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
- 29 aug 2022 - 31 aug 2022: Three days between Analysis and Geometry in Trento
- 4 jul 2022 - 6 jul 2022: Calculus of Variations in Lille - 3rd edition
- 20 jun 2022 - 24 jun 2022: Variational Challenges in Materials Science and Imaging
- 6 sep 2021 - 10 sep 2021: Variational methods and applications
- 30 aug 2021 - 3 sep 2021: Geometric Measure Theory and applications
- 27 jan 2020 - 1 feb 2020: Calculus of Variations and Applications (on the occasion of Gianni Dal Maso's birthday)
- 16 jan 2020 - 17 jan 2020: Geometric Measure Theory in Padova
- 23 sep 2019 - 27 sep 2019: Workshop "Recent advances in mass transportation"
- 16 sep 2019 - 19 sep 2019: 6th Applied Mathematics Symposium Münster: recent advances in the Calculus of Variations
- 28 mar 2019 - 31 mar 2019: VII Spring School of Analysis (in memory of Aleksander Pełczyński): Differentiation and Geometry
- 17 jan 2019 - 19 jan 2019: Workshop "Variational problems, PDEs and applications"
- 14 jan 2019 - 17 jan 2019: Alessio Figalli, Fields medallist 2018
- 10 oct 2018 - 12 oct 2018: Topics in Nonlinear Analysis: Calculus of Variations and PDEs
- 11 jun 2018 - 15 jun 2018: Geometric Measure Theory in Verona
- 18 may 2018 - 18 may 2018: Celebrating the 25th anniversary of "Calculus of Variations and Partial Differential Equations"
- 13 feb 2012 - 17 feb 2012: ITN-Winterschool on Mathematical Models for Wetting: Analysis and Numerics
- 1 jun 2009 - 5 jun 2009: Fifth Summer School in Analysis and Applied Mathematics
Organizer:
- 10 jun 2025 - 19 jun 2025: Geometric Measure Theory and some related topics
- 8 nov 2021 - 9 nov 2021: Ricordando Luciano Modica
- 16 apr 2019 - 17 apr 2019: Some topics of Geometric Analysis and Geometric Measure Theory
- 26 jun 2017 - 30 jun 2017: Irregular Transport: Analysis and Applications
- 10 feb 2016 - 12 feb 2016: mini-workshop "Variational and PDE problems in Applied Mathematics"
- 12 dec 2014 - 12 dec 2014: Calculus of Variations and Liquid Crystal Elastomers
- 7 oct 2013 - 11 oct 2013: ERC-Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis
- 30 sep 2013 - 4 oct 2013: ERC-School on Geometric Measure Theory and Real Analysis