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- Geometric Measure Theory in non Euclidean spaces (Luigi Ambrosio) > papers
- Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
- Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
- Analysis of Optimal Sets and Optimal Constants: Old Questions and New Results (Aldo Pratelli)
- Mathematics for Shape Memory Technologies in Biomechanics (Ulisse Stefanelli)
- Geometry of Metric Groups (Enrico Le Donne) > papers
- Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)

- Research RTDB position in Geometry at the University of l'Aquila (deadline: 15 Apr 2021)
- 3 Posizioni di Ricercatore TD Tipo B - Mat/05 - Dipartimento di Matematica dell'Univ. di Napoli Federico II (deadline: 29 Apr 2021)
- Call for expression of interest in positions (Tenure Track, Associate Professor, Full Professor) at the Mathematics Department (University of Pisa) (deadline: 30 Apr 2021)
- PhD position in spectral theory of differential operators, Oldenburg (deadline: 7 May 2021)
- 4 PhD Positions at Radboud University (deadline: 7 May 2021)
- Post doc position in Mathematical Analysis - 1+1 - Trento (deadline: 13 May 2021)
- Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China (deadline: 11 Feb 2022)
- Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China (deadline: 11 Feb 2022)

- 15 Apr 2021:
**N. Fusco:***Asymptotic stability for the gradient flow of some nonlocal energies* - 15 Apr 2021:
**R. Scala:***Nonlocality features of the area functional and the Plateau problem* - 15 Apr 2021:
**V. Franceschi:***The Heisenberg isoperimetric problem: an anisotropic version* - 21 Apr 2021:
**R. L. Frank:***Colloquium-TBA* - 22 Apr 2021:
**J. L. Vazquez:***TBA* - 29 Apr 2021:
**J. Mass:***Homogenisation of discrete dynamical optimal transport* - 29 Apr 2021:
**M. Fathi:***A proof of the Caffarelli contraction theorem via entropic interpolation*

- 18 Nov 2020 - 15 Sep 2021: NCTS International Geometric Measure Theory Seminar
- 7 - 21 Apr 2021: Lecture Series "Slicing and fine properties of $BV^{\mathcal A}$ functions"
- 12 - 16 Apr 2021: Optimization of shape and material properties: advanced mathematical methods and 3D printing CISM, Udine
- 12 - 15 Apr 2021: Hausdorff School: “Diffusive Systems” Bonn (online)
- 19 - 21 May 2021: ''Workshop on $L^\infty$ and constrained variational problems''. Online
- 7 - 11 Jun 2021: Workshop "Variational methods and applications" Centro De Giorgi, Pisa
- 21 - 25 Jun 2021: Tenth Summer School in Analysis and Applied Mathematics Dipartimento di Matematica - Sapienza, Università di Roma
- 28 Jun - 2 Jul 2021: Como Lake School Mathematical Models for Bio-Medical Sciences moved to 2021 Villa del Grumello, Como
- 5 - 9 Jul 2021: Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2021 Grenoble
- 9 - 20 Aug 2021: 30th Jyväskylä Summer School Jyväskylä, Finland
- 20 Sep - 17 Dec 2021: Distributed Solutions to Complex Societal Problems University of Chicago, USA
- 6 - 8 Apr 2022: Probability, Analysis and Dynamics '22 Bristol
- 13 - 17 Jun 2022: Shape Optimization, related topics and applications Roskoff Biological center, Bretagne
- 19 - 23 Sep 2022: Shape Optimisation and Geometric Spectral Theory ICMS, Edinburgh

- E. Mukoseeva (Ph.D. Thesis)

Second variation techniques for stability in geometric inequalities (2020) - E. Marconi (Preprint)

Characterization of minimizers of Aviles-Giga functionals on special domains (2021) - I. Mondello - A. Mondino - R. Perales (Submitted Paper)

An upper bound on the revised first Betti number and a torus stability result for RCD spaces (2021) - K. Bołbotowski - G. Bouchitté (Preprint)

Optimal design versus maximal Monge-Kantorovich metrics (2021) - A. Figalli - X. Ros-Oton - J. Serra (Preprint)

The singular set in the Stefan problem (2021) - C. Mantegazza - M. Novaga - A. Pluda (Preprint)

Type-0 singularities in the network flow - Evolution of trees (2021) - E. Bruè - Q. Deng - D. Semola (Preprint)

Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces (2021) - M. Magnabosco - C. Rigoni - G. Sosa (Submitted Paper)

Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter (2021) - A. Lorent - G. Peng (Preprint)

Factorization for entropy production of the Eikonal equation and regularity (2021) - F. Cavalletti - P. Antonini (Preprint)

Geometry of Grassmannians and optimal transport of quantum states (2021) - K. Fässler - A. Pinamonti (Preprint)

Loomis-Whitney inequalities in Heisenberg groups (2021) - C. Brand - G. Dolzmann - A. Pluda (Preprint)

Variational models for the interaction of surfactants with curvature - existence and regularity of minimizers in the case of flexible curves (2021) - M. Cicalese - G. Orlando - M. Ruf (Preprint)

The N-clock model: variational analysis for fast and slow divergence rates of N (2020) - S. Albeaik - A. Bayen - M. T. Chiri - X. Gong - A. Hayat - N. Kardous - A. Keimer - S. T. McQuade - B. Piccoli - Y. You (Submitted Paper)

Limitations and Improvements of the Intelligent Driver Model (IDM) (2021) - B. Storti - P. Quaranta - C. Di Primio - N. Clementi - P. G. Spezia - V. Carnicelli - G. Lottini - E. Paolini - G. Freer - M. Lai - M. Costa - F. Beltram - A. Diaspro - M. Pistello - R. Zucchi - P. Bianchini - G. Signore - R. Bizzarri (Preprint:
*biorxiv*)

A spatial multi-scale fluorescence microscopy toolbox discloses entry checkpoints of SARS-CoV-2 variants in VeroE6 cells (2021) - G. Antonelli - A. Merlo (Preprint)

On rectifiable measures in Carnot groups: representation (2021) - M. Cicalese - M. Focardi - C. I. Zeppieri (Submitted Paper)

Phase-field approximation of functionals defined on piecewise-rigid maps (2021) - L. Lamberti (Preprint)

A regularity result for minimal configurations of a free interface problem (2020)

- N. De Ponti - A. Mondino - D. Semola (
*Journal of Functional Analysis*)

The equality case in Cheeger's and Buser's inequalities on $ \mathsf{RCD}$ spaces (2021) - C. Maor - M. G. Mora (Accepted Paper:
*Journal of Nonlinear Science*)

Reference configurations vs. optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces (2021) - L. Brasco - G. De Philippis - G. Franzina (Accepted Paper:
*Comm. Partial Differential Equations*)

Positive solutions to the sublinear Lane-Emden equation are isolated (2021) - B. Bulanyi - A. Lemenant (Accepted Paper:
*ESAIM Control Optim. Calc. Var.*)

Regularity for the planar optimal $p$-compliance problem (2021) - B. Bulanyi (
*Journal of Mathematical Analysis and Applications*)

On the importance of the connectedness assumption in the statement of the optimal $p$-compliance problem (2021) - L. Ambrosio - D. Tewodrose - S. Honda - J. Portegies (
*Journal of Functional Analysis*)

Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions (2021) - D. Tewodrose (Accepted Paper:
*Annales Academiæ Scientiarum Fennicæ Mathematica*)

Adimensional weighted Sobolev inequalities in PI spaces (2020) - A. Pinamonti - T. Orponen - K. Fässler (Submitted Paper)

Planar incidences and geometric inequalities in the Heisenberg group (2020) - S. Almi - M. Morandotti - F. Solombrino (Accepted Paper:
*Journal of Evolution Equations*)

A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games (2020) - A. Carbotti - S. Cito - D. A. La Manna - D. Pallara (Submitted Paper)

Gamma-convergence of Gaussian fractional perimeter (2021) - M. Cicalese - M. Ruf (
*Disc. Cont. Dyn. Sys.-S*)

Discrete spin systems on random lattices at the bulk scaling (2017) - M. Cicalese - M. Forster - G. Orlando (
*SIAM J. Math. Anal.*)

Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions (2019) - M. Cicalese - G. P. Leonardi - F. Maggi (
*Indiana U Math Journal*)

Improved convergence theorems for bubble clusters. I. The planar case (2016) - M. Cicalese - N. Fusco (
*Esaim: COCV*)

A note on relaxation with constraints on the determinant (2017) - M. Cicalese - G. P. Leonardi - F. Maggi (
*Interfaces and Free Boundaries*)

Sharp stability inequalities for planar double bubbles (2017) - M. Cicalese - G. P. Leonardi (
*Commun. Math. Phys.*)

Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (2019) - M. Cicalese - G. Orlando - M. Ruf (Accepted Paper:
*Comm. Pure Appl. Math.*)

From the $N$-clock model to the $XY$ model: emergence of concentration effects in the variational analysis (2019) - A. Bach - M. Cicalese - M. Ruf (Accepted Paper:
*SIAM J. Math. Anal.*)

Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (2019) - M. Cicalese - G. Orlando - M. Ruf (Accepted Paper:
*Interfaces and Free Boundaries*)

Coarse graining and large-$N$ behavior of the $d$-dimensional $N$-clock model (2020) - A. Bach - M. Cicalese - L. Kreutz - G. Orlando (Accepted Paper:
*Indiana Univ. Mat. J.*)

The antiferromagnetic XY model on the triangular lattice: topological singularities (2020) - M. Cicalese - A. Gloria - M. Ruf (
*Archive for Rational Mechanics and Analysis*)

From statistical polymer physics to nonlinear elasticity (2020) - M. Bonafini - V. P. C. Le - M. Novaga - G. Orlandi (Accepted Paper:
*Nonlinear Analysis*)

On the obstacle problem for fractional semilinear wave equations (2021) - G. Antonelli - E. Le Donne (Submitted Paper)

Polynomial and horizontally polynomial functions on Lie groups (2020) - M. Pozzetta (Ph.D. Thesis)

Willmore-type Energies of Curves and Surfaces (2020) - F. Riva - L. Nardini (
*Journal of Evolution Equations*)

Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping (2020) - M. Bonacini - R. Cristoferi - I. Topaloglu (Submitted Paper)

Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals (2021) - M. Bonacini - R. Cristoferi - I. Topaloglu (
*Nonlinear Analysis*)

Minimality of polytopes in a nonlocal anisotropic isoperimetric problem (2021) - S. Alama - L. Bronsard - I. Topaloglu - A. Zuniga (
*Calc. Var.*)

A nonlocal isoperimetric problem with density perimeter (2021) - O. Misiats - I. Topaloglu (
*ESAIM: COCV*)

On minimizers of an anisotropic liquid drop model (2021) - G. Antonelli - A. Merlo (Accepted Paper:
*Ann. Acad. Sci. Fenn. Math.*)

Intrinsically Lipschitz functions with normal targets in Carnot groups (2020) - N. Fusco - M. Morini (Submitted Paper)

Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains (2021)