| 2018Anton Bovier and Lisa B. Hartung
From $1$ to $6$: a finer analysis of perturbed branching Brownian motion
2018
https://arxiv.org/abs/1808.05445
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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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| 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
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| Anna Kraut and Anton Bovier
From adaptive dynamics to adaptive walks
2018
https://arxiv.org/abs/1810.13188
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| 2017Martina Baar and Anton Bovier
The polymorphic evolution sequence for populations with phenotypic plasticity
2017
https://arxiv.org/abs/1708.01528
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| Julio Backhoff, Mathias Beiglböck and Sigrid Källblad
Martingale Benamou-Brenier: a probabilistic perspective
arxiv e-print 1708.04869 2017
https://arxiv.org/abs/1708.04869
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| Kaveh Bashiri
A note on the metastability in three modifications of the standard Ising model
2017
https://arxiv.org/pdf/1705.07012.pdf
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| Mathias Beiglböck, Alexander M. G. Cox and Martin Huesmann
he geometry of multi-marginal Skorokhod embedding
arxiv e-print 1705.09505 2017
https://arxiv.org/abs/1705.09505
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| Benjamin Berkels, Michael Buchner, Alexander Effland, Martin Rumpf and Steffen Schmitz-Valckenberg
GPU Based Image Geodesics for Optical Coherence Tomography
In Bildverarbeitung für die Medizin, Informatik aktuell
page 68--73.
Publisher: Springer
2017
http://dx.doi.org/10.1007/978-3-662-54345-0_21
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| B. Bohn and M. Griebel
Error estimates for multivariate regression on discretized function spaces
SIAM Journal on Numerical Analysis, 55(4): 1843--1866 2017
10.1137/15M1013973
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| B. Bohn, M. Griebel and C. Rieger
A representer theorem for deep kernel learning
2017
http://wissrech.ins.uni-bonn.de/research/pub/bohn/INSPreprint_concatRegr.pdf
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| Marco Bonacini, B. Niethammer and J.J. L. Velázquez
Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity smaller than one
2017
https://arxiv.org/abs/1704.08905
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| Marco Bonacini, B. Niethammer and J.J. L. Velázquez
Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity one
2017
https://arxiv.org/abs/1612.06610
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| David Bourne, Sergio Conti and Stefan Müller
Energy bounds for a compressed elastic film on a substrate
J. Nonlinear Science, 27: 453-494 2017
10.1007/s00332-016-9339-0
Abstract: We study pattern formation in a compressed elastic film which delaminates from a substrate. Our key tool is the determination of rigorous upper and lower bounds on the minimum value of a suitable energy functional. The energy consists of two parts, describing the two main physical effects. The first part represents the elastic energy of the film, which is approximated using the von Kármán plate theory. The second part represents the fracture or delamination energy, which is approximated using the Griffith model of fracture. A simpler model containing the first term alone was previously studied with similar methods by several authors, assuming that the delaminated region is fixed. We include the fracture term, transforming the elastic minimization into a free-boundary problem, and opening the way for patterns which result from the interplay of elasticity and delamination. After rescaling, the energy depends on only two parameters: the rescaled film thickness, $σ$, and a measure of the bonding strength between the film and substrate, $γ$. We prove upper bounds on the minimum energy of the form $σ^a γ^b$ and find that there are four different parameter regimes corresponding to different values of $a$ and $b$ and to different folding patterns of the film. In some cases the upper bounds are attained by self-similar folding patterns as observed in experiments. Moreover, for two of the four parameter regimes we prove matching, optimal lower bounds. |
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| Anton Bovier, Loren Coquille and Rebecca Neukirch
The recovery of a recessive allele in a Mendelian dipoloid model
2017
https://arxiv.org/abs/1703.02459
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| Andrea Braides, Sergio Conti and Adriana Garroni
Density of polyhedral partitions
Calc. Var. Partial Differential Equations, 56(2): Art. 28, 10 2017
10.1007/s00526-017-1108-x
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| 2016V. Beffara, S. Chhita and K. Johansson
Airy point process at the liquid-gas boundary
arXiv:1606.08653 2016
http://arxiv.org/abs/1606.08653
Abstract: {Domino tilings of the two-periodic Aztec diamond feature all of the three possible types of phases of random tiling models. These phases are determined by the decay of correlations between dominoes and are generally known as solid, liquid and gas. The liquid-solid boundary is easy to define microscopically and is known in many models to be described by the Airy process in the limit of a large random tiling. The liquid-gas boundary has no obvious microscopic description. Using the height function we define a random measure in the two-periodic Aztec diamond designed to detect the long range correlations visible at the liquid-gas boundary. We prove that this random measure converges to the extended Airy point process. This indicates that, in a sense, the liquid-gas boundary should also be described by the Airy process.} |
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| B. Bohn, J. Garcke and M. Griebel
A sparse grid based method for generative dimensionality reduction of high-dimensional data
Journal of Computational Physics, 309: 1--17 2016
https://www.sciencedirect.com/science/article/pii/S0021999115008529
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| A. Borodin, I. Corwin and P.L. Ferrari
Anisotropic (2+1)d growth and Gaussian limits of q-Whittaker processes
arXiv:1612.00321 2016
https://arxiv.org/abs/1612.00321
Abstract: We consider a discrete model for anisotropic (2+1)-dimensional growth of an interface height function. Owing to a connection with q-Whittaker functions, this system enjoys many explicit integral formulas. By considering certain Gaussian stochastic differential equation limits of the model we are able to prove a space-time limit to the (2+1)-dimensional additive stochastic heat equation (or Edwards-Wilkinson equation) along characteristic directions. In particular, the bulk height function converges to the Gaussian free field which evolves according to this stochastic PDE. |
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