Existence of large-data global weak solutions to kinetic models of nonhomogeneous dilute polymeric fluids
He, C Suli, E Kinetic and Related Models volume 17 issue 1 107-161 (14 Apr 2023)
Parabolic stochastic quantisation of the fractional $Φ^4_3$ model in
the full subcritical regime
Duch, P Gubinelli, M Rinaldi, P (31 Mar 2023) http://arxiv.org/abs/2303.18112v3
Mon, 24 Apr 2023
15:30
L5

Coarse embeddings, and yet more ways to avoid them

David Hume
(Bristol)
Abstract

Coarse embeddings (maps between metric spaces whose distortion can be controlled by some function) occur naturally in various areas of pure mathematics, most notably in topology and algebra. It may therefore come as a surprise to discover that it is not known whether there is a coarse embedding of three-dimensional real hyperbolic space into the direct product of a real hyperbolic plane and a 3-regular tree. One reason for this is that there are very few invariants which behave monotonically with respect to coarse embeddings, and thus could be used to obstruct coarse embeddings.


 

Flattened and wrinkled encapsulated droplets: shape-morphing induced by gravity and evaporation
Ricobelli, D Al Terke, H Laaksonen, P Metrangelo, P Paananen, A Ras, R Ciarletta, P Vella, D Physical Review Letters volume 130 (24 May 2023)
Stein-based preconditioners for weak-constraint 4D-var
Palitta, D Tabeart, J Journal of Computational Physics volume 482 (15 Mar 2023)
Improving the condition number of estimated covariance matrices
Tabeart, J Dance, S Lawless, A Nichols, N Waller, J (25 Oct 2018) http://arxiv.org/abs/1810.10984v4
The impact of using reconditioned correlated observation error
covariance matrices in the Met Office 1D-Var system
Tabeart, J Dance, S Lawless, A Migliorini, S Nichols, N Smith, F Waller, J (12 Aug 2019) http://arxiv.org/abs/1908.04071v1
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