Preprints - IAM Publications


	2018 Anton 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: BirkhÃ¤user, 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

2018