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G. Bellettini
-
S. Kholmatov
- F. Almuratov (Preprint)
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions
(2024)
G. Antonelli
-
D. Di Donato
-
S. Don
(Accepted Paper:
Potential Analysis
)
Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2
(2020)
G. Antonelli
-
D. Di Donato
-
S. Don
-
E. Le Donne
(Accepted Paper:
Annales de l'Institut Fourier
)
Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups
(2020)
G. Antonelli
-
M. Fogagnolo
-
M. Pozzetta
(
Communications in Contemporary Mathematics
)
The isoperimetric problem on Riemannian manifolds via Gromov-Hausdorff asymptotic analysis
(2022)
G. Antonelli
-
E. Le Donne
(Accepted Paper:
Nonlinear Analysis
)
Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces
(2020)
G. Antonelli
-
E. Le Donne
(Accepted Paper:
Annali di Matematica Pura ed Applicata (1923 - )
)
Polynomial and horizontally polynomial functions on Lie groups
(2020)
G. Antonelli
-
E. Le Donne
-
A. Merlo
(Accepted Paper:
Proceedings of the London Mathematical Society
)
Carnot rectifiability and Alberti representations
(2023)
G. Antonelli
-
E. Le Donne
-
S. Nicolussi Golo
(Accepted Paper:
Journal of Dynamical and Control Systems
)
Lipschitz Carnot-Carathéodory structures and their limits
(2021)
G. Antonelli
-
A. Merlo
(Accepted Paper:
Ann. Acad. Sci. Fenn. Math.
)
Intrinsically Lipschitz functions with normal targets in Carnot groups
(2020)
G. Antonelli
-
A. Merlo
(Accepted Paper:
The Journal of Geometric Analysis
)
On rectifiable measures in Carnot groups: existence of density
(2020)
G. Antonelli
-
A. Merlo
(Accepted Paper:
Calculus of Variations and Partial Differential Equations
)
On rectifiable measures in Carnot groups: representation
(2021)
G. Antonelli
-
A. Merlo
(Accepted Paper:
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
)
Unextendable intrinsic Lipschitz curves
(2021)
G. Antonelli
-
A. Merlo
(
Journal of Functional Analysis
)
On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion
(2022)
A. Ardentov -
E. Le Donne
- Y. Sachkov (Submitted Paper)
A sub-Finsler problem on the Cartan group
(2018)
A. Ardentov -
E. Le Donne
- Y. Sachkov (Submitted Paper)
Sub-Finsler geodesics on the Cartan group
(2018)
A. Ardentov - G. Bor -
E. Le Donne
- R. Montgomery - Y. Sachkov (preprint)
Bicycle paths, elasticae and sub-Riemannian geometry
(2020)
C. Bellettini -
E. Le Donne
(preprint)
Sets with constant normal in Carnot groups: properties and examples
(2019)
G. Bellettini
-
S. Kholmatov
(Preprint)
Minimizing movements for the generalized power mean curvature flow
(2024)
A. Bravo-Doddoli -
E. Le Donne
- N. Paddeu (preprint)
Sympletic reduction of the sub-Riemannian geodesic flow for metabelian nilpotent groups
(2022)
A. Carbotti
-
S. Don
-
D. Pallara
-
A. Pinamonti
(
ESAIM cocv
)
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
(2021)
G. David -
E. Le Donne
(Submitted Paper)
A note on topological dimension, Hausdorff measure, and rectifiability
(2018)
D. Di Donato
-
E. Le Donne
(preprint)
Intrinsically Lipschitz sections and applications to metric groups
(2022)
S. Don
-
E. Le Donne
- T. Moisala -
D. Vittone
(Accepted Paper:
Indiana Univ. Math. J.
)
A rectifiability result for finite-perimeter sets in Carnot groups
(2019)
L. Dufloux
(
Journal of Fractal Geometry
)
The case of equality in the dichotomy of Mohammadi-Oh
(2019)
L. Dufloux
- V. Suomala (Preprint)
Projections of Poisson cut-outs in the Heisenberg group and the visual 3-sphere
(2018)
N. Eldredge - M. Gordina -
E. Le Donne
- S. Li (preprint)
Notions of null sets in infinite-dimensional Carnot groups
(2023)
E. Le Donne
- S. Eriksson-Bique - C. Gartland - L. Naples - S. Nicolussi-Golo (Submitted Paper)
Nilpotent groups and biLipschitz embeddings into $L^1$
(2022)
E. Le Donne
- D. Freeman (Submitted Paper)
Toward a quasi-Möbius characterization of Invertible Homogeneous Metric Spaces
(2018)
K. Fässler
-
E. Le Donne
(Submitted Paper)
On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups
(2018)
E. Hakavuori
(
SIAM Journal on Control and Optimization
)
Infinite geodesics and isometric embeddings in Carnot groups of step 2
(2020)
E. Hakavuori
- V. Kivioja - T. Moisala -
F. Tripaldi
(Accepted Paper:
Journal of Lie Theory
)
Gradings for nilpotent Lie algebras
(2022)
E. Hakavuori
-
E. Le Donne
(Submitted Paper)
Blowups and blowdowns of geodesics in Carnot groups
(2018)
J. Á. Jaramillo -
E. Le Donne
-
T. Rajala
(Accepted Paper:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
)
Restricting open surjections
(2018)
S. Kholmatov
(Preprint)
Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in $\mathbb R^3$
(2024)
S. Kholmatov
(Preprint)
Minimizing movements for forced anisotropic curvature flow of droplets
(2024)
S. Kholmatov
(Preprint)
On the minimality of the Winterbottom shape
(2024)
V. Kivioja -
E. Le Donne
-
S. Nicolussi Golo
(preprint)
Metric equivalences of Heintze groups and applications to classifications in low dimension
(2021)
E. Le Donne
(Lecture Notes)
Lecture notes on sub-Riemannian geometry from the Lie group viewpoint
(2021)
E. Le Donne
- S. Li - T. Moisala (Submitted Paper)
Gateaux differentiability on infinite-dimensional Carnot groups
(2018)
E. Le Donne
-
D. Lučić
-
E. Pasqualetto
(Accepted Paper:
Potential Analysis
)
Universal infinitesimal Hilbertianity of sub-Riemannian manifolds
(2019)
E. Le Donne
- T. Moisala (preprint)
Semigenerated step-3 Carnot algebras and applications to sub-Riemannian perimeter
(2020)
E. Le Donne
- D. Morbidelli - S. Rigot (preprint)
Horizontally affine maps on step-two Carnot groups
(2020)
E. Le Donne
-
S. Nicolussi Golo
(preprint)
Metric Lie groups admitting dilations
(2019)
E. Le Donne
- N. Paddeu (preprint)
Escape from compact sets of normal curves in Carnot groups
(2023)
E. Le Donne
-
G. Pallier
- X. Xie (Accepted Paper:
Groups, Geometry, and Dynamics
)
Rough similarity of left-invariant Riemannian metrics on some Lie groups
(2022)
E. Le Donne
-
F. Tripaldi
(Accepted Paper:
Analysis and Geometry in Metric Spaces
)
A Cornucopia of Carnot groups in Low Dimensions
(2022)
E. Le Donne
- R. Young (preprint)
Carnot rectifiability of sub-Riemannian manifolds with constant tangent
(2019)
E. Le Donne
- R. Züst (preprint)
Space of signatures as inverse limits of Carnot groups
(2019)
C. Llosa Isenrich -
G. Pallier
- R. Tessera (preprint)
Cone-equivalent nilpotent groups with different Dehn functions
(2020)
R. Luisto
(preprint)
A Newman property for BLD-mappings
(2017)
R. Luisto
- P. Pankka (preprint)
Stoïlow's theorem revisited
(2017)
R. Luisto
- E. Prywes (preprint)
Characterization of branched covers with simplicial branch sets
(2018)
T. Moisala -
E. Pasqualetto
(Accepted Paper:
Mathematica Scandinavica
)
Direct limits of infinite-dimensional Carnot groups
(2021)
S. Nardulli
-
R. Resende
(
Advances in Mathematics
)
Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity
(2022)
S. Nardulli
- F. Russo (
Journal of Functional Analysis
)
On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume
(2021)
D. Ntalampekos -
M. Romney
(Submitted Paper)
On the inverse absolute continuity of quasiconformal mappings on hypersurfaces
(2018)
G. Pallier
(
Conformal Geometry and Dynamics
)
Sublinear quasiconformality and the large-scale geometry of Heintze groups
(2020)
G. Pallier
- Y. Qing (Preprint)
Sublinear biLipschitz equivalence and sublinearly Morse boundaries
(2022)
E. Pasqualetto
- T. Schultz (preprint)
Ultralimits of pointed metric measure spaces
(2021)
K. Rajala -
M. Romney
(Accepted Paper:
Ann. Acad. Sci. Fenn. Math.
)
Reciprocal lower bound on modulus of curve families in metric surfaces
(2018)
M. Romney
(Submitted Paper)
Singular quasisymmetric mappings in dimensions two and greater
(2018)
A. Tyulenev
(
Sbornik:Mathematics
)
Tracaes of Sobolev spaces to irregular subsets of metric measure spaces
(2023)
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