Geometric analysis of sub-Riemannian spaces through interpolation inequalities

Información del proyecto

GeoSub

Identificador del acuerdo de subvención: 945655

DOI

10.3030/945655

Fecha de la firma de la CE 6 Agosto 2020

Fecha de inicio 1 Enero 2022

Fecha de finalización 31 Diciembre 2026

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 1 171 465,00

Aportación de la UE

€ 1 171 465,00

Coordinado por

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Italy

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Peer reviewed articles (24)

Existence and uniqueness theorems for some semi-linear equations on locally finite graphs

Autores: Andrea Pinamonti, Giorgio Stefani
Publicado en: Proceedings of the American Mathematical Society, 2022, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/16046

H-type foliations

Autores: Fabrice Baudoin; Erlend Grong; Luca Rizzi; Gianmarco Vega-Molino
Publicado en: Differential Geometry and its Applications, 2022, ISSN 0926-2245
Editor: Elsevier BV
DOI: 10.1016/j.difgeo.2022.101952

Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces

Autores: Luigi De Rosa, Marco Inversi, Giorgio Stefani
Publicado en: Journal of Differential Equations, 2023, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2023.05.019

Quantitative approximate definable choices

Autores: Antonio Lerario, Luca Rizzi, Daniele Tiberio
Publicado en: Mathematische Annalen, 2025, ISSN 0025-5831
Editor: Springer Verlag
DOI: 10.1007/s00208-025-03128-3

Relative heat content asymptotics for sub-Riemannian manifolds

Autores: Andrei Agrachev, Luca Rizzi, Tommaso Rossi
Publicado en: Analysis & PDE, Edición 17, 2024, Página(s) 2997-3037, ISSN 2157-5045
Editor: Mathematical Sciences Publishers
DOI: 10.2140/apde.2024.17.2997

Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula

Autores: Giovanni E. Comi, Giorgio Stefani
Publicado en: Bollettino dell'Unione Matematica Italiana, 2023, ISSN 1972-6724
Editor: Unione Matematica Italiana
DOI: 10.1007/s40574-023-00370-y

On the N-Cheeger problem for component-wise increasing norms

Autores: Giorgio Saracco, Giorgio Stefani
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 189, 2024, Página(s) 103593, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2024.06.008

On Double Hölder Regularity of the Hydrodynamic Pressure in Bounded Domains

Autores: Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
Publicado en: Calculus of Variations and Partial Differential Equations, 2023, ISSN 0944-2669
Editor: Springer Verlag
DOI: 10.1007/s00526-023-02432-7

Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries

Autores: Luca Rizzi, Giorgio Stefani
Publicado en: Journal of Functional Analysis, 2023, ISSN 1096-0783
Editor: Elsevier
DOI: 10.1016/j.jfa.2023.110099

Non-local BV functions and a denoising model with <i>L</i> ¹ fidelity

Autores: Konstantinos Bessas, Giorgio Stefani
Publicado en: Advances in Calculus of Variations, 2024, ISSN 1864-8258
Editor: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/acv-2023-0082

On the convex components of a set in Rn

Autores: Flavia Giannetti, Giorgio Stefani
Publicado en: Forum Mathèmaticum, 2023, ISSN 1435-5337
Editor: De Gruyter
DOI: 10.1515/forum-2022-0203

On the Steiner property for planar minimizing clusters. The anisotropic case

Autores: Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
Publicado en: Journal de l’École polytechnique — Mathématiques, Edición 10, 2023, Página(s) 989-1045, ISSN 2270-518X
Editor: Les Éditions de l'École Polytechnique
DOI: 10.5802/jep.238

Existence and stability of weak solutions of the Vlasov–Poisson system in localised Yudovich spaces

Autores: Gianluca Crippa, Marco Inversi, Chiara Saffirio, Giorgio Stefani
Publicado en: Nonlinearity, Edición 37, 2024, Página(s) 095015, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ad5bb3

On the monotonicity of weighted perimeters of convex bodies

Autores: Giorgio Saracco, Giorgio Stefani
Publicado en: Mathematische Nachrichten, Edición 297, 2024, Página(s) 1444-1450, ISSN 0025-584X
Editor: Wiley - V C H Verlag GmbbH & Co.
DOI: 10.1002/mana.202300280

Weyl's law for singular Riemannian manifolds

Autores: Y. Chitour, D. Prandi, L. Rizzi
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 181, 2024, Página(s) 113-151, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2023.10.004

The Cheeger problem in abstract measure spaces

Autores: Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco, Giorgio Stefani
Publicado en: Journal of the London Mathematical Society, Edición 109, 2024, ISSN 0024-6107
Editor: Oxford University Press
DOI: 10.1112/jlms.12840

Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry

Autores: Samuël Borza, Wilhelm Klingenberg
Publicado en: Nonlinear Analysis, Edición 239, 2024, Página(s) 113421, ISSN 0362-546X
Editor: Pergamon Press Ltd.
DOI: 10.1016/j.na.2023.113421

On the Steiner property for planar minimizing clusters. The isotropic case

Autores: Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
Publicado en: Communications in Contemporary Mathematics, 2023, ISSN 0219-1997
Editor: World Scientific Publishing Co
DOI: 10.1142/s0219199722500407

Full double Hölder regularity of the pressure in bounded domains

Autores: Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
Publicado en: International Mathematics Research Notices, 2023, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnad197

An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces

Autores: Gianluca Crippa, Giorgio Stefani
Publicado en: Calculus of Variations and Partial Differential Equations, Edición 63, 2024, ISSN 0944-2669
Editor: Springer Verlag
DOI: 10.1007/s00526-024-02750-4

Comparison theorems on H-type sub-Riemannian manifolds

Autores: Fabrice Baudoin, Erlend Grong, Luca Rizzi, Sylvie Vega-Molino
Publicado en: Calculus of Variations and Partial Differential Equations, Edición 64, 2025, ISSN 0944-2669
Editor: Springer Verlag
DOI: 10.1007/s00526-025-02992-w

Regularity and Continuity properties of the sub-Riemannian exponential map

Autores: Samuël Borza, Wilhelm Klingenberg
Publicado en: Journal of Dynamical and Control Systems, 2023, ISSN 1573-8698
Editor: Springer
DOI: 10.1007/s10883-022-09624-y

Symmetrized and non-symmetrizedasymptotic mean value Laplacian in metric measure spaces

Autores: Andreas Minne, David Tewodrose
Publicado en: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2023, Página(s) 1-38, ISSN 0308-2105
Editor: The RSE Scotland Foundation
DOI: 10.1017/prm.2023.118

Failure of the local chain rule for the fractional variation

Autores: Giovanni E. Comi, Giorgio Stefani
Publicado en: Portugaliae Mathematica, 2023, ISSN 0032-5155
Editor: European Mathematical Society Publishing House
DOI: 10.4171/pm/2096

Other (15)

Properties of Lipschitz smoothing heat semigroups

Autores: Nicolò De Ponti, Giorgio Stefani
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arxiv.2403.00620

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler Heisenberg groups

Autores: Samuël Borza, Kenshiro Tashiro
Publicado en: 2023
Editor: Arxiv
DOI: 10.48550/arxiv.2305.16722

Sard properties for polynomial maps in infinite dimension

Autores: Antonio Lerario, Luca Rizzi, Daniele Tiberio
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arxiv.2407.02296

On the lower bound of the curvature exponent on step-two Carnot groups

Autores: Ye Zhang
Publicado en: 2025
Editor: arxiv
DOI: 10.48550/arxiv.2504.20005

Lipschitz approximation of almost G-perimeter minimizing boundaries in plentiful groups

Autores: Andrea Pinamonti, Giorgio Stefani, Simone Verzellesi
Publicado en: 2023
Editor: arxiv
DOI: 10.48550/arxiv.2312.15473

Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups

Autores: Samuël Borza, Mattia Magnabosco, Tommaso Rossi, Kenshiro Tashiro
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arxiv.2402.14779

Optimal transport on the sub-Lorentzian Heisenberg group

Autores: Samuël Borza, Wilhelm Klingenberg, Patrick Wood
Publicado en: 2025
Editor: arXiv
DOI: 10.48550/arxiv.2504.03062

Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures

Autores: Samuël Borza, Luca Rizzi
Publicado en: 2025
Editor: arxiv
DOI: 10.48550/arxiv.2505.09681

Quantitative tightness for three-dimensional contact manifolds: a sub-Riemannian approach

Autores: Andrei A. Agrachev, Stefano Baranzini, Eugenio Bellini, Luca Rizzi
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arxiv.2407.00770

Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures

Autores: Davide Barilari, Andrea Mondino, Luca Rizzi
Publicado en: 2022
Editor: Arxiv
DOI: 10.48550/arxiv.2211.07762

Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups

Autores: Tania Bossio, Luca Rizzi, Tommaso Rossi
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arxiv.2408.16838

The Michor-Mumford conjecture in Hilbertian H-type groups

Autores: Valentino Magnani, Daniele Tiberio
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arxiv.2404.04583

Normal forms for the sub-Riemannian exponential map of $\mathbb{G}_\alpha$, $\mathrm{SU}(2)$, and $\mathrm{SL}(2)$

Autores: Borza, Samuël
Publicado en: 2023
Editor: Arxiv
DOI: 10.48550/arxiv.2302.00524

Generic controllability of equivariant systems and applications to particle systems and neural networks

Autores: Andrei Agrachev, Cyril Letrouit
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arxiv.2404.08289

The curvature exponent of sub-Finsler Heisenberg groups

Autores: Samuël Borza, Mattia Magnabosco, Tommaso Rossi, Kenshiro Tashiro
Publicado en: 2024
Editor: arxiv
DOI: 10.48550/arxiv.2407.14619

Book chapters (1)

On Sets with Finite Distributional Fractional Perimeter

Autores: Giovanni E. Comi, Giorgio Stefani
Publicado en: Springer INdAM Series, Anisotropic Isoperimetric Problems and Related Topics, 2024, Página(s) 127-150
Editor: Springer Nature Singapore
DOI: 10.1007/978-981-97-6984-1_6

Conference proceedings (1)

Lagrangian stability for a system of non-local continuity equations under Osgood condition

Autores: Marco Inversi, Giorgio Stefani
Publicado en: Contemporary Mathematics, New Trends in Sub-Riemannian Geometry, 2025, Página(s) 123-134
Editor: American Mathematical Society
DOI: 10.1090/conm/809/16205