Matthias Ruf
EPFL SB MATH
MA A1 354 (Bâtiment MA)
Station 8
CH-1015 Lausanne
Web site: Web site: https://math.epfl.ch/
Web site: Web site: https://sma.epfl.ch/
Biography
2019 - now Instructor at EPFL2017 - 2019 Post-doc at ULB (in the group of Prof. A. Gloria)
2013 - 2017 PhD students at TU Munich (advisor: Prof. M. Cicalese)
Thesis: Discrete-to-continuum limits and stochastic homogenization of ferromagnetic surface energies
2008 - 2013 Undergraduate student (mathematics) at TU Munich
Publications
22. New homogenization results for convex integral functionals and their Euler-Lagrange equations (with M. Schäffner) (2023) [preprint]21. Stochastic homogenization of functionals defined on finite partitions (with A. Bach) (2023) [preprint]
20. A spectral ansatz for the long-time homogenization of the wave equation (with M. Duerinckx and A. Gloria) (2023) [preprint]
19. Stochastic homogenization of degenerate integral functionals with linear growth (with C.I. Zeppieri), Calc. Var. PDE, 62:138 (2023) [preprint]
18. A classical S2 spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings (with M. Cicalese and G. Orlando), Nonlinear Anal., to appear (2022) [preprint]
17. Stochastic homogenization of degenerate integral functionals and their Euler-Lagrange equations (with T. Ruf), J. Ec. Polytech. Math., 10, 253-303 (2023) [preprint]
16. Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions (with A. Bach), Calc. Var. PDE , 61:84 (2022) [preprint]
15. The N-clock model: Variational analysis for fast and slow divergence rates of N (with M. Cicalese and G. Orlando), Arch. Ration. Mech. Anal., 245 (2022), 1135-1196 [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]
13. Emergence of concentration effects in the variational analysis of the N-clock model (with M. Cicalese and G. Orlando), Comm. Pure Appl. Math., 75 (2022), 2279-2342 [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]
11. From statistical polymer physics to nonlinear elasticity (with M. Cicalese and A. Gloria), Arch. Ration. Mech. Anal., 236 (2020), 1127-1215 [preprint]
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]
9. Discrete stochastic approximations of the Mumford-Shah functional, Ann. Inst. H. Poincaré Anal. Non Linéaire, 36 (2019), no. 4, 887-937 [preprint]
8. Motion of discrete interfaces in low-contrast random environments, ESAIM: Control Optim. Calc. Var., 24 (2018), no.3, 1275-1301 [preprint]
7. Hemihelical local minimizers in prestrained elastic bi-strips (with M. Cicalese and F. Solombrino), Z. Angew. Math. Phys. (2017), 68:122 [preprint]
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]
5. On the continuity of functionals defined on partitions, Adv. Calc. Var., 11 (2017), no. 11, 335-339 [preprint]
4. On global and local minimizers of prestrained thin elastic rods (with M. Cicalese and F. Solombrino), Calc. Var. PDE (2017), 56:115 [preprint]
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]
2. Chirality transitions in frustrated S2-valued spin systems (with M. Cicalese and F. Solombrino), Math. Models Methods Appl. Sci., 26 (2016), no. 8, 1481-1529 [preprint]
1. Domain formation in magnetic polymer composites: an approach via stochastic homogenization (with R. Alicandro and M. Cicalese), Arch. Ration. Mech. Anal., 218 (2015), no. 2, 945-984 [preprint]
Teaching & PhD
Teaching
Mathematics
Courses
Linear algebra (english)
The purpose of the course is to introduce the basic notions of linear algebra and its applications.
Topics in complex analysis
The goal of this course is to treat selected topics in complex analysis. We will mostly focus on holomorphic functions in one variable. If time permits we will also introduce holomorphic functions in several variables.
Functional analysis II
We introduce locally convex vector spaces. As an example we treat the space of test functions and the space of distributions. In a second part of the course we discuss differential calculus in Banach spaces and some elements from nonlinear functional analysis.