cvgmt: Marco Cicalese

Calculus of Variations and Geometric Measure Theory

Marco Cicalese

[cicalese]

Full Professor, Scuola Superiore Meridionale

Email: m.cicalese AT ssmeridionale.it

Available papers (65):

M. Cicalese - L. Kreutz - I. Mansoor (Preprint)
Discrete Quantitative Isocapacitary Inequality: Fluctuation Estimates (2026)
M. Cicalese - L. Kreutz - G. P. Leonardi - G. Morselli (Siam J. Math. Anal.)
The quantitative Faber-Krahn inequality for the combinatorial Laplacian in $\mathbb{Z}^d$ (2026)
M. Cicalese - D. Reggiani - F. Solombrino (Interfaces and Free Boundaries)
From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^1$ to $S^2$ limit (2026)
M. Cicalese - N. Fusco - V. Julin - A. Kubin (Preprint)
Consistency for the surface diffusion flat flow in three dimensions (2025)
M. Cicalese - T. Heilmann (ESAIM: COCV)
Surfactants in a non-local model for phase transitions (2025)
M. Cicalese - T. Heilmann (Mathematics in Engineering)
Surfactants in the Two Gradient Theory of Phase Transitions (2025)
M. Cicalese - T. Heilmann - A. Kubin - F. Onoue - M. Ponsiglione (Math. Ann)
A notion of $s$-fractional mass for $1$-currents in higher codimension (2025)
M. Cicalese - G. Fusco - G. Savaré (preprint)
Crystalline motion of discrete interfaces in the Blume-Emery-Griffiths model (2025)
L. Briani - M. Cicalese - L. Kreutz (Accepted Paper: Comm. Math. Phys.)
Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories (2025)
M. Cicalese - G. Fusco - G. Savaré (preprint)
Crystalline Motion of discrete interfaces in the Blume-Emery-Griffiths Model: partial wetting (2025)
A. Bach - M. Cicalese - A. Garroni - G. Orlando (Accepted Paper: Arch. Ration. Mech. Anal.)
Stacking faults in the limit of a discrete model for partial edge dislocations (2024)
M. Cicalese - A. Kubin (Accepted Paper: Ann. Scuola Norm. Sup. Pisa Cl. Sci)
Discrete and Continuum Area-Preserving Mean-Curvature Flow of Rectangles (2024)
R. Alicandro - M. Cicalese - L. De Luca (Nonlinear Analysis)
Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy (2023)
M. Cicalese - L. Kreutz - G. P. Leonardi (Comm. Math. Phys.)
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices (2023)
M. Cicalese - G. Orlando - M. Ruf (Nonlinear Analysis)
A classical $\mathbb{S}^2$ spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings (2023)
R. Alicandro - A. Braides - M. Cicalese - M. Solci (Book: Cambridge University Press)
Discrete Variational Problems with Interfaces (2023)
R. Alicandro - A. Braides - M. Cicalese - L. De Luca - A. Piatnitski (Arch. Ration. Mech. Anal.)
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches (2022)
M. Cicalese - M. Forster - G. Orlando (Arch. Ration. Mech. anal.)
Variational analysis of the $J_1$-$J_2$-$J_3$ model: a non-linear lattice version of the Aviles-Giga functional (2022)
A. Bach - M. Cicalese - L. Kreutz - G. Orlando (Indiana Univ. Mat. J.)
The antiferromagnetic XY model on the triangular lattice: topological singularities (2022)
M. Cicalese - G. Orlando - M. Ruf (Archive for Rational Mechanics and Analysis)
The N-clock model: variational analysis for fast and slow divergence rates of N (2022)
M. Cicalese - G. Orlando - M. Ruf (Comm. Pure Appl. Math.)
Emergence of concentration effects in the variational analysis of the N-clock model (2022)
R. Badal - M. Cicalese (Accepted Paper: Calc. Var. Partial Diff. Equations)
Renormalized energy between fractional vortices with topologically induced free discontinuities on $2$-dimensional Riemannian manifolds (2022)
M. Cicalese - M. Focardi - C. I. Zeppieri (J. Nonlinear Sci.)
Phase-field approximation of functionals defined on piecewise-rigid maps (2021)
A. Bach - M. Cicalese - L. Kreutz - G. Orlando (Calc. Var. Partial Diff. Equations)
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling (2021)
M. Cicalese - G. Orlando - M. Ruf (Interfaces and Free Boundaries)
Coarse graining and large-$N$ behavior of the $d$-dimensional $N$-clock model (2021)
A. Bach - M. Cicalese - M. Ruf (SIAM J. Math. Anal.)
Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (2021)
A. Bach - A. Braides - M. Cicalese (SIAM J. Math. Anal.)
Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions (2020)
M. Cicalese - A. Gloria - M. Ruf (Archive for Rational Mechanics and Analysis)
From statistical polymer physics to nonlinear elasticity (2020)
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 (Commun. Math. Phys.)
Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (2019)
A. Braides - M. Cicalese - M. Ruf (Analysis & PDE)
Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (2018)
R. Badal - M. Cicalese - L. De Luca - M. Ponsiglione (Commun. Math. Phys.)
$\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects (2018)
A. Braides - M. Cicalese (Arch. Ration. Mech. Anal.)
Interfaces, modulated phases and textures in lattice systems (2017)
M. Cicalese - M. Ruf - F. Solombrino (Calc. Var Pdes)
On global and local minimizers of prestrained thin elastic rods (2017)
M. Cicalese - M. Ruf - F. Solombrino (Zeitschrift für Angewandte Mathematik und Physik (ZAMP))
Hemihelical local minimizers in prestrained elastic bi-strips (2017)
M. Cicalese - M. Ruf (Disc. Cont. Dyn. Sys.-S)
Discrete spin systems on random lattices at the bulk scaling (2017)
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 - L. De Luca - M. Novaga - M. Ponsiglione (SIAM J. Math. Anal.)
Ground States of a two phase model with cross and self attractive interactions (2016)
M. Cicalese - M. Ruf - F. Solombrino (Mathematical Models and Methods in Applied Sciences )
Chirality transitions in frustrated $S^{2}$-valued spin systems (2016)
A. Braides - M. Cicalese - N. K. Yip (J. Stat. Phys.)
Crystalline Motion of Interfaces Between Patterns (2016)
M. Cicalese - G. P. Leonardi - F. Maggi (Indiana U Math Journal)
Improved convergence theorems for bubble clusters. I. The planar case (2016)
M. Cicalese - F. Solombrino (Journal of Nonlinear Science)
Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (2015)
A. Braides - M. Cicalese - F. Solombrino (SIAM J. Math. Anal.)
Q-tensor continuum energies as limits of head-to-tail symmetric spins systems (2015)
R. Alicandro - M. Cicalese - M. Ruf ( Arch. Ration. Mech. Anal.)
Domain formation in magnetic polymer composites: an approach via stochastic homogenization (2015)
M. Cicalese - E. Spadaro (Comm. Pure Appl. Math.)
Droplet Minimizers of an Isoperimetric Problem with long-range interactions (2013)
M. Cicalese - G. P. Leonardi (J. Eur. Math. Soc. (JEMS))
Best constants for the isoperimetric inequality in quantitative form (2013)
R. Alicandro - M. Cicalese - L. Sigalotti (Interfaces and Free Boundaries)
Phase transition in presence of surfactants: from discrete to continuum (2012)
M. Cicalese - G. P. Leonardi (Arch. Rat. Mech. Anal.)
A Selection Principle for the Sharp Quantitative Isoperimetric Inequality (2012)
M. Cicalese - E. Spadaro - C. I. Zeppieri (Calc. Var. Partial Differential Equations)
Asymptotic analysis of a second-order singular perturbation model for phase transitions (2011)
R. Alicandro - M. Cicalese - A. Gloria (Archive Rational Mech. Anal.)
Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity (2011)
R. Alicandro - M. Cicalese - M. Ponsiglione (Indiana Univ. Math. J.)
Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies (2011)
M. Cicalese - Y. Nagase - G. Pisante (Advances in Calculus of Variations)
The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions (2010)
R. Alicandro - M. Cicalese (Archive Rational Mech. Anal.)
Variational analysis of the asymptotics of the $XY$ model (2009)
M. Cicalese - A. DeSimone - C. I. Zeppieri (Networks and Heterogeneous Media)
Discrete-to-continuum limits for strain-alignment-coupled systems: magnetostrictive solids, ferroelectric crystals and nematic elastomers (2009)
R. Alicandro - A. Braides - M. Cicalese (Calc. Var. Partial Diff. Eq.)
Continuum limits of discrete thin films with superlinear growth densities (2008)
R. Alicandro - M. Cicalese - A. Gloria (Nonlinearity)
Integral representation of the bulk limit of a general class of energies for bounded and unbounded spin systems (2008)
B. Brandolini - M. Cicalese - C. Nitsch - C. Trombetti (Appl. Math. Lett.)
A sharp estimate of the extinction time for the mean-curvature flow (2007)
A. Braides - M. Cicalese (Math. Mod. Meth. Appl. Sci. (M3AS))
Surface energies in nonconvex discrete systems (2007)
R. Alicandro - M. Cicalese - A. Gloria (C. R. Acad. Sci. Paris, Sér. I)
Mathematical derivation of a rubber-like stored energy functional (2007)
R. Alicandro - A. Braides - M. Cicalese (Networks and Heterogeneous Media)
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint (2006)
R. Alicandro - A. Braides - M. Cicalese (Discrete and Continuous Dynamical Systems)
$L^\infty$ energies on discontinuous functions (2005)
M. Cicalese (Ph.D. Thesis)
Multiscale analysis for nonlinear variational problems arising from discrete systems (2004)
R. Alicandro - M. Cicalese (SIAM J. Math. Anal.)
A General Integral Representation Result for Continuum Limits of Discrete Energies with superlinear growth (2004)
M. Cicalese - C. Trombetti (Asymptotic Analysis)
Asymptotic behaviour of solutions to p-laplacian equation (2003)

Seminars:

9 sep 2021: Chirality transition in magnetic materials

Speaker:

6 sep 2027 - 9 sep 2027: Calculus of Variations and Applied Analysis in Linz
17 dec 2026 - 18 dec 2026: Modern Approaches to Calculus Of Variations and Applications - MACOVA
27 nov 2026 - 27 nov 2026: An autumn day in Calculus of Variations & Applications
15 sep 2026 - 18 sep 2026: New Insights: Calculus of variations, Optimization and Long-range Applications.
7 sep 2026 - 11 sep 2026: On the Bridge: Geometric Measure Theory and Calculus of Variations
14 jul 2026 - 17 jul 2026: New Challenges in Calculus of Variations
23 jun 2026 - 25 jun 2026: Variational models in Materials Science-IV
22 oct 2025 - 24 oct 2025: Variational Analysis of complex systems in Materials Science, Physics and Biology
23 sep 2025 - 24 sep 2025: Workshop on free boundary and geometric variational problems in Naples
7 jul 2025 - 11 jul 2025: Geometric Methods in Calculus of Variations
27 may 2024 - 31 may 2024: Modeling and analysis in nanomagnetism and beyond
31 jan 2024 - 2 feb 2024: Calculus of Variations in Siena
20 feb 2023 - 24 feb 2023: Between Regularity and Defects: Variational and Geometrical Methods in Materials Science
8 feb 2023 - 10 feb 2023: Variational models in Materials Science
29 nov 2021 - 3 dec 2021: Winter school: "Analytical Methods in Quantum and Continuum Mechanics"
6 sep 2021 - 10 sep 2021: Variational methods and applications
29 jun 2020 - 2 jul 2020: Advanced Variational Methods for Solid Mechanics - *CANCELLED*
13 may 2020 - 15 may 2020: UCLouvain 2020 Workshop on Calculus of Variations
28 oct 2019 - 31 oct 2019: Calculus of Variations and Applications in Trani
16 sep 2019 - 19 sep 2019: 6th Applied Mathematics Symposium Münster: recent advances in the Calculus of Variations
1 jul 2019 - 5 jul 2019: Calculus of Variations on Schiermonnikoog 2019
4 jul 2017 - 5 jul 2017: Multiscale problems and relaxation in nonlinear elasticity
6 jun 2016 - 10 jun 2016: Advances in the Mathematical Analysis of Material Defects in Elastic Solids
15 jun 2015 - 19 jun 2015: Eighth Summer School in Analysis and Applied Mathematics

Organizer:

20 jul 2026 - 23 jul 2026: Summer Workshop in the Calculus of Variations
8 sep 2025 - 12 sep 2025: Conference: Frontiers in Calculus of Variations and Applied Analysis
7 nov 2022 - 11 nov 2022: Discrete Systems and Calculus of Variations
22 jul 2019 - 26 jul 2019: Summer School on Multiscale Phenomena in Geometry and Dynamics
31 mar 2014 - 4 apr 2014: International Workshop: From Atomistic to Continuum Models in Materials Science