Andrea Marchese
[marchese]
Associate Professor, Università di Trento
Email: andrea.marchese AT unitn.it
Home-page: https://sites.google.com/view/andrea-marchese/home
Available papers (37):
[plain text]- A. Marchese - A. Merlo (Preprint)
A simple proof of the $1$-dimensional flat chain conjecture (2024) - G. Caldini - A. Marchese - A. Merlo - S. Steinbrüchel (Accepted Paper: J. Math. Pures Appl.)
Generic uniqueness for the Plateau problem (2023) - G. Alberti - D. Bate - A. Marchese (Preprint)
On the closability of differential operators (2023) - C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Submitted Paper)
Excess decay for minimizing hypercurrents mod $2Q$ (2023) - C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (Comm. Pure Appl. Math.)
Area minimizing currents mod $2Q$: linear regularity theory (2022) - G. De Philippis - A. Marchese - A. Merlo - A. Pinamonti - F. Rindler (Submitted Paper)
On the converse of Pansu's Theorem (2022) - G. Caldini - A. Marchese - S. Steinbrüchel (Accepted Paper: Calc. Var. PDE)
Generic uniqueness of optimal transportation networks (2022) - G. Alberti - A. Marchese (Preprint)
On the structure of flat chains with finite mass (2022) - C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Submitted Paper)
Fine structure of the singular set of area minimizing hypersurfaces modulo $p$ (2022) - M. Colombo - A. De Rosa - A. Marchese - P. Pegon - A. Prouff (Discrete and Continuous Dynamical Systems)
Stability of optimal traffic plans in the irrigation problem (2022) - M. Colombo - A. De Rosa - A. Marchese (Comm. Pure App. Math.)
On the well-posedness of branched transportation (2021) - A. Marchese - A. Massaccesi - S. Stuvard - R. Tione (Calc. Var. Partial Differential Equations)
A multi-material transport problem with arbitrary marginals (2021) - C. De Lellis - J. Hirsch - A. Marchese - L. Spolaor - S. Stuvard (Submitted Paper)
Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem (2021) - A. Marchese - A. Merlo (Accepted Paper: Analysis & PDE)
Characterization of rectifiability via Lusin type approximation (2021) - C. De Lellis - J. Hirsch - A. Marchese - S. Stuvard (Geom. Funct. Anal.)
Regularity of area minimizing currents mod $p$ (2020) - M. Carioni - A. Marchese - A. Massaccesi - A. Pluda - R. Tione (Nonlinear Anal.)
The oriented mailing problem and its convex relaxation (2020) - M. Colombo - A. De Rosa - A. Marchese (J. Math. Pures Appl.)
Stability for the mailing problem (2019) - A. Marchese - A. Massaccesi - R. Tione (SIAM J. Math. Anal.)
A multi-material transport problem and its convex relaxation via rectifiable G-currents (2019) - A. Marchese - S. Stuvard (Adv. Calc. Var.)
On the structure of flat chains modulo $p$ (2018) - A. Marchese - B. Wirth (J. Math. Anal. Appl.)
Approximation of rectifiable $1$-currents and weak-$\ast$ relaxation of the $h$-mass (2018) - C. De Lellis - A. Marchese - E. Spadaro - D. Valtorta (Comm. Math. Helv.)
Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps (2018) - M. Colombo - A. De Rosa - A. Marchese (Calc. Var. Partial Differential Equations)
Improved stability of optimal traffic paths (2018) - A. Marchese (Preprint)
On the structure of singular measures in the Euclidean space (2017) - A. Marchese (Accepted Paper: Proc. Roy. Soc. Edinburgh Sect. A)
Residually many BV homeomorphisms map a null set in a set of full measure (2017) - M. Colombo - A. De Rosa - A. Marchese - S. Stuvard (Nonlinear Analysis)
On the lower semicontinuous envelope of functionals defined on polyhedral chains (2017) - D. Inauen - A. Marchese (J. Funct. Anal.)
Quantitative minimality of strictly stable minimal submanifolds in a small flat neighbourhood (2017) - A. Marchese - A. Massaccesi (Advances in Calculus of Variations)
The Steiner tree problem revisited through rectifiable $G$-currents (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. De Philippis - A. Marchese - F. Rindler (Accepted Paper)
On a conjecture of Cheeger (2016) - A. Marchese - A. Schioppa (Calc. Var. Partial Differential Equations)
Lipschitz functions with prescribed blowups at many points (2016) - A. Marchese (Rend. Semin. Mat. Univ. Padova)
Lusin type theorems for Radon measures (2015) - M. Focardi - A. Marchese - E. Spadaro (Journal of Functional Analysis)
Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result (2015) - P. Logaritsch - A. Marchese (Arch. Math)
Kirszbraun's extension theorem fails for Almgren's multiple valued functions (2014) - A. Marchese - A. Massaccesi (ESAIM Control Optim. Calc. Var.: ESAIM: COCV)
An optimal irrigation network with infinitely many branching points (2014) - A. Marchese (Phd Thesis)
Two applications of the Theory of Currents (2013) - A. Marchese (Accepted Paper: Proc. Amer. Math. Soc.)
On the building dimension of closed cones and Almgren’s stratification principle. (2013) - A. Marchese - C. Zanco (Israel J. math.)
On a question by Corson about point-finite coverings (2012)
Seminars:
- 15 nov 2017: Branched transportation: stability and new models.
- 16 may 2012: Rademacher's theorem for Euclidean measures
Speaker:
- 24 jun 2024 - 28 jun 2024: Calculus of Variations in Lille - 4th edition
- 25 mar 2024 - 28 mar 2024: M&M's - Measures and Materials Workshop
- 31 jan 2024 - 2 feb 2024: Calculus of Variations in Siena
- 12 jun 2023 - 16 jun 2023: Harmonic Analysis, Partial Differential Equations, and Geometric Measure Theory in Bilbao 2023
- 29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
- 8 jun 2022 - 10 jun 2022: Geometric Analysis and PDE on Garda Lake
- 24 aug 2020 - 4 sep 2020: 2020 Focus Period for the FRG: New Challenges in Geometric Measure Theory
- 11 jun 2018 - 15 jun 2018: Geometric Measure Theory in Verona
Organizer:
- 2 sep 2024 - 4 sep 2024: Three days between analysis and geometry in Trento (third edition)
- 17 jun 2024 - 21 jun 2024: Geometric Measure Theory and applications 2024
- 28 aug 2023 - 30 aug 2023: Three days between Analysis and Geometry in Trento - 2° edition (New fundings available for Postdocs!!)
- 29 aug 2022 - 31 aug 2022: Three days between Analysis and Geometry in Trento
- 30 aug 2021 - 3 sep 2021: Geometric Measure Theory and applications
- 16 jan 2020 - 17 jan 2020: Geometric Measure Theory in Padova
- 24 sep 2018 - 28 sep 2018: Workshop MAR: Metric Analysis and Regularity
- 24 apr 2017 - 26 apr 2017: Transport problems in Zurich