Preprints - IAM Publications


	2016 P.L. Ferrari and H. Spohn On time correlations for KPZ growth in one dimension preprint: arXiv:1602.00486 2016 http://arxiv.org/abs/1602.00486 Abstract: Time correlations for KPZ growth in 1+1 dimensions are reconsidered. We discuss flat, curved, and stationary initial conditions and are interested in the covariance of the height as a function of time at a fixed point on the substrate. In each case the power laws of the covariance for short and long times are obtained. They are derived from a variational problem involving two independent Airy processes. For stationary initial conditions we derive an exact formula for the stationary covariance with two approaches: (1) the variational problem and (2) deriving the covariance of the time-integrated current at the origin for the corresponding driven lattice gas. In the stationary case we also derive the large time behavior for the covariance of the height gradients.

	P.L. Ferrari and B. Vető The hard-edge tacnode process for Brownian motion preprint, arXiv:1608.00394 2016 https://arxiv.org/abs/1608.00394 Abstract: {We consider N non-intersecting Brownian bridges conditioned to stay below a fixed threshold. We consider a scaling limit where the limit shape is tangential to the threshold. In the large N limit, we determine the limiting distribution of the top Brownian bridge conditioned to stay below a function as well as the limiting correlation kernel of the system. It is a one-parameter family of processes which depends on the tuning of the threshold position on the natural fluctuation scale. We also discuss the relation to the six-vertex model and the Aztec diamond on restricted domains.}

	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

	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

	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

	Michael Herrmann, Barbara Niethammer and Juan J. L. Velázquez Instabilities and oscillations in coagulation equations with kernels of homogeneity one 2016 http://arxiv.org/abs/1606.09405

	Susanne Hilger Scaling limit and convergence of smoothed covariance for gradient models with non-convex potential arXiv e-prints: arXiv:1603.04703 2016 https://ui.adsabs.harvard.edu/abs/2016arXiv160304703H

	Richard Höfer and Juan JL Velázquez The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains 2016 http://arxiv.org/abs/1603.06750

	Peter Hornung, Martin Rumpf and Stefan Simon Material Optimization for Nonlinearly Elastic Planar Beams 2016 http://arxiv.org/abs/1604.02267

	A.H.M. Kierkels On a kinetic equation in weak turbulence theory for the nonlinear Schrödinger equation 2016 http://arxiv.org/abs/1606.07290

	Herbert Koch, Angkana Rüland and Wenhui Shi The variable coefficient thin obstacle problem: Carleman inequalities Adv. Math., 301: 820--866 2016 http://dx.doi.org/10.1016/j.aim.2016.06.023

	P. Laurençot, B. Niethammer and J. J. L. Velázquez Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel 2016 http://arxiv.org/abs/1603.02929

	Jan Maas, Martin Rumpf and Stefan Simon Generalized optimal transport with singular sources 2016 http://arxiv.org/abs/1607.01186

	Patrick Müller Path large deviations for interacting diffusions with local mean-field interactions 2016 http://arxiv.org/abs/1512.05323 Abstract: We consider a system of Nd spins, with a local mean field type interaction. Each spin has a fixed spacial position on the torus Td and a spin value in R that evolves according to a space dependent Langevin dynamic. The interaction between two spins depends on their spacial distance. We investigate the path large deviation principle from the hydrodynamic (or local mean field McKean-Vlasov) limit and characterise the rate function, for both the space dependent empirical process and the space dependent empirical measure of the paths. To this end, we generalize an approach of Dawson and G\"artner. By the space dependency, this requires new ingredients compared to mean field type interactions. Moreover, we prove the large deviation principle by using second approach. This requires a generalisation of Varadhan's lemma to nowhere continuous functions.

	A. Nota and J.J.L. Velázquez On the growth of a particle coalescing in a Poisson distribution of obstacles 2016 http://arxiv.org/abs/1608.08118

	Celia Reina, Anja Schlömerkemper and Sergio Conti Derivation of $\bf F=\bf F^\rm e\bf F^\rm p$ as the continuum limit of crystalline slip J. Mech. Phys. Solids, 89: 231--254 2016 10.1016/j.jmps.2015.12.022

	Alan D. Rendall and Juan J. L. Velázquez Veiled singularities for the spherically symmetric massless Einstein-Vlasov system 2016 http://arxiv.org/abs/1604.06576

	Angkana Rüland, Christian Zillinger and Barbara Zwicknagl Higher Sobolev regularity of convex integration solutions in elasticity 2016 https://arxiv.org/abs/1610.02529

	2015 Sebastian Andres and Naotaka Kajino Continuity and estimates for the Liouville heat kernel with applications to spectral dimensions Probab. Theory Relat. Fields 2015 http://dx.doi.org/10.1007/s00440-015-0670-4

	Sebastian Andres, Jean-Dominique Deuschel and Martin Slowik Harnack inequalities on weighted graphs and some applications to the random conductance model Probab. Theory Relat. Fields: 1-47 2015 http://dx.doi.org/10.1007/s00440-015-0623-y Abstract: We establish elliptic and parabolic Harnack inequalities on graphs with unbounded weights. As an application we prove a local limit theorem for a continuous time random walk X in an environment of ergodic random conductances taking values in (0,∞) satisfying some moment conditions.

2016

2015