Matthias Ruf
Biographie
2019 - présent Instructeur à l'EPFL
2013 - 2017 Doctorant à TU Munich (directeur de thèse: Prof. M. Cicalese)
Thèse: Discrete-to-continuum limits and stochastic homogenization of ferromagnetic surface energies (PDF)
Thèse: Discrete-to-continuum limits and stochastic homogenization of ferromagnetic surface energies (PDF)
2008 - 2013 Etudiant (en mathématique) à TU Munich
Publications
17. Stochastic homogenization of degenerate integral functionals and their Euler-Lagrange equations (with T. Ruf) (2021) [preprint]
16. Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions (with A. Bach) (2021) [preprint]
16. Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions (with A. Bach) (2021) [preprint]
15. The N-clock model: Variational analysis for fast and slow divergence rates of N (with M. Cicalese and G. Orlando) (2020) [preprint]
14. Coarse graining and large-N behavior of the d-dimensional N-clock model (with M. Cicalese and G. Orlando), Interfaces Free Bound., 23 (2021), 323-351 [preprint][article]
13. Emergence of concentration effects in the variational analysis of the N-clock model (with M. Cicalese and G. Orlando), Comm. Pure Appl. Math., to appear (2021) [preprint]
12. Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size (with A. Bach and M. Cicalese), SIAM J. Math. Anal., 53 (2021), no. 2, 2275-2318 [preprint][article]
11. From statistical polymer physics to nonlinear elasticity (with M. Cicalese and A. Gloria), Arch. Ration. Mech. Anal., 236 (2020), 1127-1215 [preprint][article]
10. Loss of strong ellipticity through homogenization in 2D linear elasticity: a phase diagram (with A. Gloria), Arch. Ration. Mech. Anal., 231 (2019), no. 2, 845-886 [preprint] [article]
9. Discrete stochastic approximations of the Mumford-Shah functional, Ann. Inst. H. Poincaré Anal. Non Linéaire, 36 (2019), no. 4, 887-937 [preprint] [article]
8. Motion of discrete interfaces in low-contrast random environments, ESAIM: Control Optim. Calc. Var., 24 (2018), no.3, 1275-1301 [preprint] [article]
7. Hemihelical local minimizers in prestrained elastic bi-strips (with M. Cicalese and F. Solombrino), Z. Angew. Math. Phys. (2017), 68:122 [preprint] [article]
6. Continuum limit and stochastic homogenization of discrete ferromagnetic thin films (with A. Braides and M. Cicalese), Anal. PDE, 11 (2018), no.2, 499-553 [preprint] [article]
5. On the continuity of functionals defined on partitions, Adv. Calc. Var., 11 (2017), no. 11, 335-339 [preprint] [article]
4. On global and local minimizers of prestrained thin elastic rods (with M. Cicalese and F. Solombrino), Calc. Var. PDE (2017), 56:115 [preprint] [article]
3. Discrete spin systems on random lattices at the bulk scaling (with M. Cicalese), Disc. Cont. Dyn. Sys.-S, 10 (2017), no. 1, 101-117 [preprint] [article]
Enseignement & Phd
Enseignement
Mathematics