| 2018Anton Bovier, Dmitry Ioffe and Patrick Müller
The hydrodynamics limit for local mean-field dynamics with unbounded spins
2018
https://arxiv.org/abs/1805.00641
|
| |
| Anton Bovier and Lisa B. Hartung
From $1$ to $6$: a finer analysis of perturbed branching Brownian motion
2018
https://arxiv.org/abs/1808.05445
|
| |
| Gianmarco Brocchi, Diogo Oliveira e Silva and René Quilodrán
Sharp Strichartz inequalities for fractional and higher order Schr\''odinger equations
arXiv e-prints: arXiv:1804.11291 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv180411291B
|
| |
| Simon Buchholz, Jean-Dominique Deuschel, Noemi Kurt and Florian Schweiger
Probability to be positive for the membrane model in dimensions 2 and 3
arXiv e-prints: arXiv:1810.05062 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv181005062B
|
| |
| Simon Buchholz
Finite range decomposition for Gaussian measures with improved regularity
J. Funct. Anal., 275(7): 1674--1711 2018
10.1016/j.jfa.2018.02.018
|
| |
| Antonin Chambolle, Sergio Conti and Gilles A. Francfort
Approximation of a britte fracture energy with the constraint of non-interpenetration
Arch. Ration. Mech. Anal., 228: 867-889 2018
10.1007/s00205-017-1207-z
|
| |
| Sergio Conti, Martin Rumpf, Rüdiger Schultz and Sascha Tölkes
Stochastic Dominance Constraints in Elastic Shape Optimization
SIAM J. Control Optim., 56: 3021-3034 2018
10.1137/16M108313X
Abstract: This paper deals with shape optimization for elastic materials under stochastic loads. It transfers the paradigm of stochastic dominance, which allows for flexible risk aversion via comparison with benchmark random variables, from finite-dimensional stochastic programming to shape optimization. Rather than handling risk aversion in the objective, this enables risk aversion by including dominance constraints that single out subsets of nonanticipative shapes which compare favorably to a chosen stochastic benchmark. This new class of stochastic shape optimization problems arises by optimizing over such feasible sets. The analytical description is built on risk-averse cost measures. The underlying cost functional is of compliance type plus a perimeter term, in the implementation shapes are represented by a phase field which permits an easy estimate of a regularized perimeter. The analytical description and the numerical implementation of dominance constraints are built on risk-averse measures for the cost functional. A suitable numerical discretization is obtained using finite elements both for the displacement and the phase field function. Different numerical experiments demonstrate the potential of the proposed stochastic shape optimization model and in particular the impact of high variability of forces or probabilities in the different realizations. |
| |
| Sergio Conti, Matteo Focardi and Flaviana Iurlano
Which special functions of bounded deformation have bounded variation
Proc. Roy. Soc. Edinb. A, 148: 33-50 2018
10.1017/S030821051700004X
Abstract: Functions of bounded deformation (BD) arise naturally in the study of fracture and damage in a geometrically linear context. They are related to functions of bounded variation (BV), but are less well understood. We discuss here the relation to BV under additional regularity assumptions, which may require the regular part of the strain to have higher integrability or the jump set to have finite area or the Cantor part to vanish. On the positive side, we prove that BD functions which are piecewise affine on a Caccioppoli partition are in GSBV, and we prove that $SBD^p$ functions are approximately continuous $H^n-1$-a.e. away from the jump set. On the negative side, we construct a function which is $BD$ but not in BV and has distributional strain consisting only of a jump part, and one which has a distributional strain consisting of only a Cantor part. |
| |
| S. Conti and G. Dolzmann
An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers
J. Mech. Phys. Solids, 113: 126-143 2018
10.1016/j.jmps.2018.02.001
|
| |
| Sergio Conti, Stefan Müller and Michael Ortiz
Data-driven problems in elasticity
Arch. Ration. Mech. Anal., 229: 79-123 2018
10.1007/s00205-017-1214-0
|
| |
| Sergio Conti, Martin Lenz, Matthäus Pawelczyk and Martin Rumpf
Homogenization in magnetic-shape-memory polymer composites
In Volker Schulz and Diaraf Seck, editor, Shape Optimization, Homogenization and Optimal Control, Volume 169 of International Series of Numerical Mathematics
page 1-17.
Publisher: Birkhäuser, Cham
2018
10.1007/978-3-319-90469-6_1
|
| |
| S. Conti, M. Goldman, F. Otto and S. Serfaty
A branched transport limit of the Ginzburg-Landau functional
Journal de l'École polytechnique -- Mathématiques, 5: 317-375 2018
10.5802/jep.72
|
| |
| Sergio Conti, Benedict Geihe, Martin Lenz and Martin Rumpf
A posteriori modeling error estimates in the optimization of two-scale elastic composite materials
ESAIM: Mathematical Modelling and Numerical Analysis, 52: 1457-1476 2018
10.1051/m2an/2017004
|
| |
| Lorenzo Dello Schiavo
The Dirichlet-Ferguson diï¬usion on the space of probability measures over a closed Riemannian manifold
arxiv e-print 1811.11598 2018
https://arxiv.org/abs/1811.11598
|
| |
| Lorenzo Dello Schiavo
A Rademacher-type Theorem on L^2 -Wasserstein Spaces over Closed Riemannian Manifolds
arxiv e-print 1810.10227 2018
https://arxiv.org/abs/1810.10227
|
| |
| Lorenzo Dello Schiavo
Characteristic Functionals of Dirichlet Measures
arxiv e-print 1810.09790 2018
https://arxiv.org/abs/1810.09790
|
| |
| Margherita Disertori, Alessandro Giuliani and Ian Jauslin
Plate-nematic phase in three dimensions
arXiv e-prints: arXiv:1805.05700 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv180505700D
|
| |
| Margherita Disertori, Martin Lohmann and Sasha Sodin
The density of states of 1D random band matrices via a supersymmetric transfer operator
arXiv e-prints: arXiv:1810.13150 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv181013150D
|
| |
| D. Dũng, M. Griebel, V. N. Huy and C. Rieger
$\varepsilon$-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs
Journal of Complexity, 46: 66--89 2018
10.1016/j.jco.2017.12.001
|
| |
| Polona Durcik and Christoph Thiele
Singular Brascamp-Lieb inequalities
arXiv e-prints: arXiv:1809.08688 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv180908688D
|
| |