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Now showing items 3131-3140 of 3781
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2021)
We survey some topics in A1-homotopy theory. Our main goal is to highlight the interplay between A1-homotopy theory and affine algebraic geometry, focusing on the varieties that are “contractible” from various standpoints.
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2022)
This article generalises the concept of realised covariation to Hilbert-space-valued stochastic processes. More precisely, based on high-frequency functional data, we construct an estimator of the trace-class operator-valued ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
We propose a new mathematical model to learn capillary leakage coefficients from dynamic susceptibility contrast MRI data. To this end, we derive an embedded mixed-dimension flow and transport model for brain tissue perfusion ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2021)
These are lecture notes from the conference Arithmetic Topology at the Pacific Institute of Mathematical Sciences on applications of Morel’s A1-degree to questions in enumerative geometry. Additionally, we give a new dynamic ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2021)
We present a second-order accurate numerical method for a class of nonlocal nonlinear conservation laws called the “nonlocal pair-interaction model,” which was recently introduced by Du, Huang, and LeFloch [SIAM J. Numer. ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)
We introduce a weighted particle representation for the solution of the filtering problem based on a suitably chosen variation of the classical de Finetti theorem. This representation has important theoretical and numerical ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)
We develop robust solvers for a class of perturbed saddle-point problems arising in the study of a second-order elliptic equation in mixed form (in terms of flux and potential), and of the four-field formulation of Biot's ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)
Infinite-dimensional compressed sensing deals with the recovery of analog signals (functions) from linear measurements, often in the form of integral transforms such as the Fourier transform. This framework is well-suited ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)
The mechanical behavior of a poroelastic medium permeated by multiple interacting fluid networks can be described by a system of time-dependent partial differential equations known as the multiple-network poroelasticity ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2021)
We study theoretically and numerically the bending-driven levelling of thin viscous films within the lubrication approximation. We derive Green’s function of the linearized thin-film equation and further show that it ...