| 2022Anton Bovier and Adrien Schertzer
Fluctuations of the free energy in p-spin SK models on two scales
2022
https://arxiv.org/abs/2205.15080
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| 2021Jin Woo Jang and Robert M. Strain
Frequency multiplier estimates for the linearized relativistic Boltzmann operator without angular cutoff
2021
https://arxiv.org/abs/2102.08846
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| Barbara Niethammer, Robert L. Pego, André Schlichting and Juan J. L. Velázquez
Oscillations in a Becker-Döring model with injection and depletion
2021
https://ui.adsabs.harvard.edu/abs/2021arXiv210206751N
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| Hwijae Son, Jin Woo Jang, Woo Jin Han and Hyung Ju Hwang
Sobolev Training for the Neural Network Solutions of PDEs
2021
https://arxiv.org/abs/2101.08932
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| 2020James Chapman, Jin Woo Jang and Robert M. Strain
On the Determinant Problem for the Relativistic Boltzmann Equation
2020
https://ui.adsabs.harvard.edu/abs/2020arXiv200602540C
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| 2019Patrick W. Dondl, Patrina S. P. Poh, Martin Rumpf and Stefan Simon
Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2227): 20180718 2019
10.1098/rspa.2018.0718
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| Matthias Erbar and Karl-Theodor Sturm
Riggidity of cones with bounded curvature
to appear in JEMS, arxiv e-print 1712.08093 2019
https://arxiv.org/abs/1712.08093
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| Muhittin Mungan, Srikanth Sastry, Karin Dahmen and Ido Regev
Networks and Hierarchies: How Amorphous Materials Learn to Remember
Phys. Rev. Lett., 123: 178002 2019
https://link.aps.org/doi/10.1103/PhysRevLett.123.178002
Abstract: We consider the slow and athermal deformations of amorphous solids and show how the ensuing sequence of discrete plastic rearrangements can be mapped onto a directed network. The network topology reveals a set of highly connected regions joined by occasional one-way transitions. The highly connected regions include hierarchically organized hysteresis cycles and subcycles. At small to moderate strains this organization leads to near-perfect return point memory. The transitions in the network can be traced back to localized particle rearrangements (soft spots) that interact via Eshelby-type deformation fields. By linking topology to dynamics, the network representations provide new insight into the mechanisms that lead to reversible and irreversible behavior in amorphous solids. |
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| Barbara Niethammer and Richard Schubert
A local version of Einstein's formula for the effective viscosity of suspensions
arXiv e-prints: arXiv:1903.08554 2019
https://ui.adsabs.harvard.edu/#abs/2019arXiv190308554N
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| Alessia Nota, Chiara Saffirio and Sergio Simonella
The generalized Boltzmann equation for magnetotransport in the Lorentz gas: rigorous validity
arXiv e-prints: arXiv:1910.12983 2019
https://ui.adsabs.harvard.edu/abs/2019arXiv191012983N
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| Filip Rindler, Sebastian Schwarzacher and Juan J. L. Velázquez
Two-speed solutions to non-convex rate-independent systems
arXiv e-prints: arXiv:1907.05035 2019
https://ui.adsabs.harvard.edu/abs/2019arXiv190705035R
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| Florian Schweiger
The maximum of the four-dimensional membrane model
arXiv e-prints: arXiv:1903.02522 2019
https://ui.adsabs.harvard.edu/abs/2019arXiv190302522S
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| 2018Anton Bovier, Loren Coquille and Charline Smadi
Crossing a fitness valley as a metastable transition in a stochastic population model
2018
https://arxiv.org/abs/1801.06473
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| 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
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| 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
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| 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. |
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| 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
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| 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
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| Alexander Effland, Martin Rumpf and Florian Schäfer
Image extrapolation for the time discrete metamorphosis model -- existence and applications
SIAM J. Imaging Sci. 2018
https://arxiv.org/abs/1705.04490
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| Martin Huesmann and Florian Stebegg
Monotonicity preserving transformations of MOT and SEP
Stochastic Process. Appl., 128(4): 1114--1134 2018
10.1016/j.spa.2017.07.005
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