| 2018Michael Griebel, Christian Rieger and Peter Zaspel
Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations
2018
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint1813.pdf
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| Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh
Renormalization of the two-dimensional stochastic nonlinear wave equations
Transactions of the American Mathematical Society 2018
10.1090/tran/7452
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| M. Gubinelli, B. E. Ugurcan and I. Zachhuber
Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions
ArXiv e-prints 2018
https://arxiv.org/abs/1807.06825
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| M. Gubinelli and M. Hofmanová
Global solutions to elliptic and parabolic $\Phi^4$ models in Euclidean space
ArXiv e-prints 2018
https://arxiv.org/abs/1804.11253
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| Massimiliano Gubinelli and Martina Hofmanová
A PDE construction of the Euclidean $\Phi^4_3$ quantum field theory
2018
https://arxiv.org/abs/1810.01700
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| Massimiliano Gubinelli, Herbert Koch and Tadahiro Oh
Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity
2018
http://arxiv.org/abs/1811.07808
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| Massimiliano Gubinelli and Nicolas Perkowski
The infinitesimal generator of the stochastic Burgers equation
2018
http://arxiv.org/abs/1810.12014
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| 2017B. 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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| 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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| Sergio Conti, Adriana Garroni and Stefan Müller
Homogenization of vector-valued partition problems and dislocation cell structures in the plane
Boll. Unione Mat. Ital., 10(1): 3--17 2017
10.1007/s40574-016-0083-z
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| Francesco Di Plinio, Shaoming Guo, Christoph Thiele and Pavel Zorin-Kranich
Square functions for bi-Lipschitz maps and directional operators
arXiv e-prints: arXiv:1706.07111 2017
https://ui.adsabs.harvard.edu/abs/2017arXiv170607111D
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| P.L. Ferrari, P. Ghosal and P. Nejjar
Limit law of a second class particle in TASEP with non-random initial condition
preprint: arXiv:1710.02323 2017
https://arxiv.org/abs/1710.02323
Abstract: We consider the totally asymmetric simple exclusion process (TASEP) with non-random initial condition having density $\rho$ on $\mathbb{Z}_-$ and $\lambda$ on $\mathbb{Z}_+$, and a second class particle initially at the origin. For $\rho<\lambda$, there is a shock and the second class particle moves with speed $1-\lambda-\rho$. For large time $t$, we show that the position of the second class particle fluctuates on a $t^{1/3}$ scale and determine its limiting law. We also obtain the limiting distribution of the number of steps made by the second class particle until time $t$. |
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| M. Griebel and C. Rieger
Reproducing kernel Hilbert spaces for parametric partial differential equations
SIAM/ASA J. Uncertainty Quantification, 5: 111-137 2017
10.1137/15M1026870
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| 2016B. 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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| Sergio Conti, Adriana Garroni and Stefan Müller
Dislocation microstructures and strain-gradient plasticity with one active slip plane
J. Mech. Phys. Solids, 93: 240-251 2016
10.1016/j.jmps.2015.12.008
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| Patrick Gérard and Herbert Koch
The cubic Szegő flow at low regularity
Séminaire Laurent SchwartzâÉquations aux dérivées partielles et applications. Année, 2017 2016
http://slsedp.cedram.org/item?id=SLSEDP_2016-2017____A14_0
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| M. Griebel and J. Oettershagen
On tensor product approximation of analytic functions
Journal of Approximation Theory, 207: 348--379 2016
http://wissrech.ins.uni-bonn.de/research/pub/oettershagen/INSPreprint1512.pdf
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| M. Griebel and P. Oswald
Schwarz Iterative Methods: Infinite Space Splittings
Constructive Approximation, 44(1): 121--139 2016
http://wissrech.ins.uni-bonn.de/research/pub/griebel/GreedyRandomSchwarzInf.pdf
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| 2015Peter Bella, Michael Goldman and Barbara Zwicknagl
Study of Island Formation in Epitaxially Strained Films on Unbounded Domains
Arch. for Ration. Mech. and Anal., 218(1): 163-217 2015
http://dx.doi.org/10.1007/s00205-015-0858-x
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