### Prof. Dr. Marco Cicalese

Technical University of Munich

Associate Professorship of Mathematical Continuum Mechanics (Prof. Cicalese)

###### Postal address

Postal:

Boltzmannstr. 3

85748 Garching b. München

## Research interests

- Variational analysis of atomistic and continuous physical systems
- Analysis of problems with multiple scales
- Nonlinear-nonlocal problems in Continuum Mechanics
- Stability of Geometric and functional inequalities

## Short CV

- 2012 - Professor at TU München
- 2005 - 2012 Assistant Professor at University of Naples
- 2004 - 2005 Research contract at SISSA (Functional Analysis Group with Prof. G. Dal Maso)
- 2004 PhD University of Naples (advisor: Prof. A. Braides)

## Conferences, Seminars and Schools

**Upcoming**

## Editorial Activity

- Associate Editor for Acta Applicandae Mathematicae
- Associate Editor for Mathematics in Engineering

## Publications

- Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices (with L. Kreutz and G.P. Leonardi), (2022),
*Commun. Math. Phys.*, to appear [preprint] - Renormalized energy between fractional vortices with topologically induced free discontinuities on 2-dimensional Riemannian manifolds (with R. Badal), (2022) [preprint]
- A classical S^2 spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings (with G. Orlando and M. Ruf),
*Nonlinear Analysis.*,**231**(2023), Paper No. 112929, 33 pp [preprint] - Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy (with R. Alicandro and L. De Luca),
*Nonlinear Analysis.*,**231**(2023), Paper No. 112871, 21 pp. [preprint] - Variational analysis of the J_1-J_2-J_3 model: a nonlinear lattice version of the Aviles-Giga functional (with M. Forster and G. Orlando),
*Arch. Rat. Mech. Anal.*,**245**(2022), no. 2, 1059–1133. [preprint] - Phase-field approximation of functionals defined on piecewise-rigid maps (with M. Focardi and C.I. Zeppieri),
*Journal of Nonlinear Science*, (2021) 31:78 [preprint] - Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches (with R. Alicandro, A. Braides, L. De Luca and A. Piatnitski),
*Arch. Rat. Mech. Anal.*,**243**no. 2 (2022), 559-609 [preprint] - The N-clock model: variational analysis for fast and slow divergence rates of N (with G. Orlando and M. Ruf),
*Arch. Rat. Mech. Anal.*,**245**(2022), no. 2, 1135–1196. [preprint] - The antiferromagnetic XY model on the triangular lattice: Topological singularities (with A. Bach, L. Kreutz and G. Orlando),
*Indiana Univ. Mat. J.*,**71**(2022), no.6, 2411–2475. [preprint] - The antiferromagnetic XY model on the triangular lattice: Chirality transitions at the surface scaling (with A. Bach, L. Kreutz and G. Orlando),
*Calc. Var. PDEs*(2021) 60:149 [preprint] - Coarse graining and large-N behaviour of the d-dimensional N-clock model (with G. Orlando and M. Ruf),
*Interfaces and Free Boundaries*,**23**no. 3 (2021), 323-351 [preprint] - From the N-clock model to the XY model: emergence of concentration effects in the variational analysis (with G. Orlando and M. Ruf),
*Comm. Pure Appl. Math.*,**75**(2022), no. 10, 2279-2342. [preprint] - Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions (with A. Bach and A. Braides)
*SIAM J. Math. Anal.*,**52**(2020) no. 4, 3600-3665 [preprint] - Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions (with M. Forster and G. Orlando),
*SIAM J. Math. Anal.*,**51**no.2 (2019), 4848-4893 [preprint] - Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (with A. Bach and M. Ruf),
*SIAM J. Math. Anal.*,**53**no. 2 (2021), 2275-2318 [preprint] - Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities (with G.P. Leonardi),
*Commun. Math. Phys.,***375**, (2020), 1931–1944 [preprint] - From statistical polymer physics to nonlinear elasticity (with A. Gloria and M. Ruf),
*Arch. Rat. Mech. Anal.*,**236**, (2020), 1127-1215 [preprint] - A note on relaxation with constraints on the determinant (with N. Fusco),
*ESAIM: Cocv,*(2019), vol. 25, no.41, 1-15 [preprint] - Hemihelical local minimizers in prestrained elastic bi-strips (with M. Ruf and F. Solombrino),
*Zeitschrift für angewandte Mathematik und Physik*, (2017), 68:122 [preprint] - Gamma-convergence analysis of a generalized XY model: fractional vortices and string defects (with R. Badal, L. De Luca and M. Ponsiglione),
*Commun. Math. Phys.*358, (2018), no. 2, 705–739. [preprint] - Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (with M. Ruf and A. Braides),
*Analysis & PDE*, (2018), vol. 11, no.2, 499-553 [preprint] - On global and local minimizers of prestrained thin elastic rods (with M. Ruf and F. Solombrino),
*Calc. Var. PDEs*, (2017), 56:115 [preprint] - Crystalline Motion of Interfaces Between Patterns (with A. Braides and N.K. Yip),
*J. Stat. Phys.*,**165**, (2016), no. 2, 74-319 [preprint] - Ground states of a two-phase model with cross and self attractive interactions (with L. De Luca, M. Novaga and M. Ponsiglione),
*SIAM J. Math. Anal.*,**48**(2016), no. 5, 3412–3443 [preprint] - Interfaces, modulated phases and textures in lattice systems (with A. Braides),
*Arch. Rat. Mech. Anal.*,**223**, (2017), 977-1017 [preprint] - Discrete spin systems on random lattices at the bulk scaling (with M. Ruf),
*Disc. Cont. Dyn. Sys.-S*,**10**, (2017), no.1, 101-117 [preprint] - Chirality transitions in frustrated S2-valued spin systems (with F. Solombrino and M. Ruf),
*Math. Models Methods Appl. Sci.*,**26**, (2016), no. 8, 1481-1529 [preprint] - Improved convergence theorems for bubble clusters. I. The planar case (with G.P. Leonardi and F. Maggi),
*Indiana Univ. Mat. J.*,**65**, (2016), 1979-2050 [preprint] - Domain formation in magnetic polymer composites: an approach via stochastic homogenization (with R. Alicandro and M. Ruf),
*Arch. Rat. Mech. Anal.*,**218**, (2015), no. 2, 945-984 [preprint] - Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (with F. Solombrino),
*Journal of Nonlinear Science*,**25**, (2015), no.2, 291-313 [preprint] - Q-tensor continuum energies as limits of head-to-tail symmetric spin systems (with A. Braides and F. Solombrino),
*SIAM J. Math. Anal.*,**47**, (2015), 2832–2867, [preprint] - Sharp stability inequalities for planar double bubbles (with G.P. Leonardi and F. Maggi),
*Interfaces and free boundaries*,**19**(3) (2017), 305–350 [preprint] - Droplet Minimizers of an Isoperimetric Problem with long-range interactions (with E.N. Spadaro),
*Communications on Pure and Applied Mathematics*,**66**, (2013), no.28, 1298-1333 [preprint] - Best constants for the isoperimetric inequality in quantitative form (with G.P. Leonardi),
*J. Eur. Math. Soc.**,***15**, (2013), no.3, 1101-1129, [preprint] *A selection principle for the sharp quantitative isoperimetric inequality (with G.P. Leonardi),**Arch. Rat. Mech. Anal.**,***206**, (2012), no.2, 617-643 [preprint]*Phase transitions in presence of surfactant: from discrete to continuum (with R. Alicandro and L. Sigalotti),**Interfaces and free boundaries**,***14**, (2012), no.1, 65-103 [preprint]*Asymptotic analysis of a second-order singular perturbation model for phase transitions (with E.N. Spadaro and C.I. Zeppieri ),**Calc. Var. and PDE*,**41**, (2011), no.1-2, 127-150 [preprint]*Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity (with R. Alicandro and A. Gloria),**Arch. Rat. Mech. Anal.*,**200**, (2011), no. 3, 881-942 [preprint]*Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocation energies (with R. Alicandro and M. Ponsiglione),**Indiana Univ. Math. J.*,**60**, (2011), no.1, 171-208 [preprint]*The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions (with Y. Nagase and G. Pisante),**Advances in Calculus of Variations*,**3**, (2010), no. 3, 321-344 [preprint]*Discrete-to-continuum limits for strain-alignment-coupled systems: magnetostrictive solids, ferroelectric crystals and nematic elastomers (with A. De Simone and C.I. Zeppieri),**Networks and Heterogeneous Media***4**, (2009), no. 4, 667-708 [preprint]*Variational analysis of the asymptotics of the XY model (with R. Alicandro),**Arch. Rat. Mech. Anal.***192**, (2009), no. 3, 501-536 [preprint]*A variational description of bulk energies for bounded and unbounded spin systems (with R. Alicandro and A. Gloria),**Nonlinearity***21**, (2008), no. 8, 1881-1910 [preprint]*Continuum limits of discrete thin films with superlinear growth densities (with R. Alicandro and A. Braides),**Calc. Var. and PDE***33**, (2008), no. 3, 267-297 [preprint]*Mathematical derivation of a rubber-like stored energy functional (with R. Alicandro and A. Gloria),**C. R. Acad. Sci. Paris, Ser. I***345**, (2007), 479-482 [preprint]*A sharp estimate of the extinction time for the mean curvature flow (with B.Brandolini, C. Nitsch and C. Trombetti),**Appl. Math. Lett.***20**, (2007), no. 5, 551-557*Surface energies in nonconvex discrete systems (with A. Braides)**Math. Models Methods Appl. Sci.*,**17**, (2007), no. 7, 985-1037 [preprint]*Phase and antiphase boundaries in binary discrete systems: a variational viewpoint (with R. Alicandro and A. Braides),**Networks and Heterogeneous Media*,**1**, (2006), no. 1, 85-107 [preprint]*Some remarks on the extinction time for the mean curvature flow (with B.Brandolini, C. Nitsch and C. Trombetti),**Le Matematiche*,**60**, (2005), 411-417*L*^{∞}energies on discontinuous functions (with R. Alicandro and A. Braides),*Discrete and Continuous Dynamical Systems*,**12**, (2005), 905-928 [preprint]*A general integral representation result for continuum limits of discrete energies with superlinear growth, (with R. Alicandro)**SIAM J. Math. Anal.***36**, (2004), 1-37 [preprint]*Asymptotic behaviour of solutions to p-laplacian equation, (with C. Trombetti),**Asymptotic Analysis***35**, (2003), 27-40

## Other Publications

*A maximal fluctuation estimate of Wulff shapes on 2d lattices,**Oberwolfach Rep.*(2018)*Atomistic-to-continuum variational analysis of random lattice systems,**Oberwolfach Rep.*,**35**, (2015)*Chirality transitions in frustrated ferromagnetic chains,**PAMM Proc. Appl. Math. Mech.***15**, (2015), 23 – 26*Interfaces of discrete patterns,**Oberwolfach Rep.*,**10**(2013)*The XY spin system and the Ginzburg-Landau energy,**Oberwolfach Rep.*,**5**no. 2 (2008), 1126-1129*Convergence analysis of the Böl-Reese discrete model for rubber (with R. Alicandro and A. Gloria), in**Continuum Models and Discrete Systems; Cmds 11 (D. Jeulin and S. Forest eds)*, Presses De L'Ecole Des Mines, 2008*Dimension reduction for discrete systems (with R. Alicandro and A. Braides), in**Applied and Industrial Mathematics in Italy II (G.Fotia, L.Puccio eds.)*, World Sci. (2007), 25-36*Boundary layer energies in discrete systems: an approach via Gamma-convergence, in**Communication to SIMAI Congress*,Vol. 1 (2006)*Dimension reduction for discrete systems, in**Communication to SIMAI Congress*,Vol. 1 (2006)*Surface energies in discrete systems,**Oberwolfach Reports*,**1**(2004), no. 3, 1564-1565*Multiscale analysis for nonlinear variational problems arising from discrete system,**Ph.D. Thesis*(2004)

## Teaching

A list of **previous courses** can be found on TUMonline.