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Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds

Roberta Ghezzi , Frédéric Jean
Geometric Control and sub-Riemannian geometry, 5, Springer International Publishing, pp.201-218, 2014, Springer INdAM Series, 978-3-319-02132-4. ⟨10.1007/978-3-319-02132-4_13⟩
Book sections hal-01137582v1

The asymptotic geometry of the Teichmüller metric

Cormac Walsh
Geometriae Dedicata, 2019, 200 (1), pp.115-152. ⟨10.1007/s10711-018-0364-z⟩
Journal articles hal-00778085v1
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Flag-approximability of convex bodies and volume growth of Hilbert geometries

Constantin Vernicos , Cormac Walsh
Annales Scientifiques de l'École Normale Supérieure, 2021, 54, pp.1297-1315. ⟨10.24033/asens.2482⟩
Journal articles hal-01423693v1
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Comments on the cosmic convergence of nonexpansive maps

Armando W. Gutiérrez , Anders Karlsson
Journal of Fixed Point Theory and Applications, 2021, 23 (4), ⟨10.1007/s11784-021-00896-8⟩
Journal articles hal-03426011v1
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The curvature of optimal control problems with applications to sub-Riemannian geometry

Luca Rizzi
Differential Geometry [math.DG]. Scuola Internazionale di Studi Superiori Avanzati (SISSA, Trieste, Italy), 2014. English. ⟨NNT : ⟩
Theses tel-01122732v1
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Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces

Cormac Walsh
Annales de l'Institut Fourier, 2018, 68 (5), pp.1831-1877
Journal articles hal-01249343v1

Curvature: a variational approach

Andrei Agrachev , Davide Barilari , Luca Rizzi
Memoirs of the American Mathematical Society, 2019, 256 (1225), ⟨10.1090/memo/1225⟩
Journal articles hal-00838195v1
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Sub-Riemannian curvature in contact geometry

Andrei Agrachev , Davide Barilari , Luca Rizzi
Journal of Geometric Analysis, 2016, ⟨10.1007/s12220-016-9684-0⟩
Journal articles hal-01160901v3

The contraction rate in Thompson part metric of order-preserving flows on a cone - application to generalized Riccati equations

Stéphane Gaubert , Zheng Qu
Journal of Differential Equations, 2014, 256 (8), pp.2902-2948. ⟨10.1016/j.jde.2014.01.024⟩
Journal articles hal-00783972v1
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Normal forms and invariants for 2-dimensional almost-Riemannian structures

Ugo Boscain , Grégoire Charlot , Roberta Ghezzi
Preprints, Working Papers, ... hal-00512380v2
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A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators

Dario Prandi , Luca Rizzi , Marcello Seri
Journal of Differential Geometry, 2019, 111 (2), pp.339-379. ⟨10.4310/jdg/1549422105⟩
Journal articles hal-01221668v3
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On the cut locus of free, step two Carnot groups

Luca Rizzi , Ulysse Serres
Proceedings of the American Mathematical Society, 2017, 145, pp.5341-5357. ⟨10.1090/proc/13658⟩
Journal articles hal-01377408v2
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Pliability, or the whitney extension theorem for curves in carnot groups

Nicolas Juillet , Mario Sigalotti
Analysis & PDE, 2017, 10 (7), pp.1637 - 1661. ⟨10.2140/apde.2017.10.1637⟩
Journal articles hal-01285215v4

Studying isometry groups using the horofunction boundary

Cormac Walsh
Tropical and Indempotent Mathematics, Aug 2012, Moscow, Russia, Russia
Conference papers hal-00782823v1

The level set method for the two-sided max-plus eigenproblem

Stephane Gaubert , Sergei Sergeev
Discrete Event Dynamic Systems, 2013, 23 (2), pp.105-134. ⟨10.1007/s10626-012-0137-z⟩
Journal articles hal-00940791v1
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A maximin characterization of the escape rate of non-expansive mappings in metrically convex spaces

Stéphane Gaubert , Guillaume Vigeral
Mathematical Proceedings of the Cambridge Philosophical Society, 2012, 152 (2), pp.341-363. ⟨10.1017/S0305004111000673⟩
Journal articles hal-00661863v1

On the Essential Self-Adjointness of Singular Sub-Laplacians

Valentina Franceschi , Dario Prandi , Luca Rizzi
Potential Analysis, 2019, 53, pp.89-112. ⟨10.1007/s11118-018-09760-w⟩
Journal articles hal-01981861v1
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A Formula for Popp’s Volume in Sub-Riemannian Geometry

Davide Barilari , Luca Rizzi
Analysis and Geometry in Metric Spaces, 2013, 1, ⟨10.2478/agms-2012-0004⟩
Journal articles hal-00751222v1
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Points and lines configurations for perpendicular bisectors of convex cyclic polygons

Paul Melotti , Sanjay Ramassamy , Paul Thévenin
The Electronic Journal of Combinatorics, 2022, 29 (1), pp.P1.59
Journal articles hal-02518173v1
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Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds

Luca Rizzi , Pavel Silveira
Journal of the Institute of Mathematics of Jussieu, 2019, 18 (4), pp.783-827. ⟨10.1017/S1474748017000226⟩
Journal articles hal-01221661v1

Matrix versions of the Hellinger distance

Rajendra Bhatia , Stéphane Gaubert , Tanvi Jain
Letters in Mathematical Physics, 2019, 109, pp.1777-1804. ⟨10.1007/s11005-019-01156-0⟩
Journal articles hal-01973935v1
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A new class of $({\cal H}^k,1)$-rectifiable subsets of metric spaces

Roberta Ghezzi , Frédéric Jean
Preprints, Working Papers, ... hal-00623647v2
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Measure contraction properties of Carnot groups

Luca Rizzi
Calculus of Variations and Partial Differential Equations, 2016, ⟨10.1007/s00526-016-1002-y⟩
Journal articles hal-01218376v3
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On Jacobi fields and canonical connection in sub-Riemannian geometry

Davide Barilari , Luca Rizzi
Archivum Mathematicum, 2017, 53 (2), pp.77-92. ⟨10.5817/AM2017-2-77⟩
Journal articles hal-01160902v2
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Firm non-expansive mappings in weak metric spaces

Armando W. Gutiérrez , Cormac Walsh
Archiv der Mathematik, 2022,  119, pp.389-400
Journal articles hal-03479771v2

A tropical isoperimetric inequality

Stéphane Gaubert , Michael Joswig , Depersin Jules
Proceedings of FPSAC 2017 (29th Conference on Formal Power Series and Algebraic Combinatorics, London), Jul 2017, London, United Kingdom. pp.Article #27
Conference papers hal-01422522v1

The horofunction boundary and isometry group of the Hilbert geometry

Cormac Walsh
Athanase Papadopoulos and Marc Troyanov. Handbook of Hilbert Geometry, 22, European Mathematical Society, 2014, IRMA Lectures in Mathematics and Theoretical Physics, 978-3-03719-147-7
Book sections hal-00782827v1
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On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds

Ludovic Sacchelli , Mario Sigalotti
Calculus of Variations and Partial Differential Equations, 2018
Journal articles hal-01573353v3
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Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry

Ugo Boscain , Robert Neel , Luca Rizzi
Advances in Mathematics, 2017, ⟨10.1016/j.aim.2017.04.024⟩
Journal articles hal-01122735v2

Gauge-reversing maps on cones, and Hilbert and Thompson isometries

Cormac Walsh
Geometry and Topology, 2018, 22 (1), pp.55-104. ⟨10.2140/gt.2018.22.55⟩
Journal articles hal-00930929v1