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pro vyhledávání: '"HUDSON, THOMAS"'
Autor:
Costenoble, Steven R., Hudson, Thomas
We calculate the ordinary $C_2$-cohomology of $BT^2$ with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discuss how this cohomology is related to those of $BT^1$ and $BU(2)$, calc
Externí odkaz:
http://arxiv.org/abs/2411.06470
This work introduces a quantitative model for the Frank-Read source, considered to be one of the most important micro-mechanical mechanisms of dislocation creation in crystalline materials. It has long been known that these sources create dislocation
Externí odkaz:
http://arxiv.org/abs/2409.20294
Autor:
Costenoble, Steven R., Hudson, Thomas
Classically, B\'ezout's theorem says that an intersection of hypersurfaces in a projective space is rationally equivalent to a number of copies of a smaller projective space, the number depending on the degrees of the hypersurfaces. We give a general
Externí odkaz:
http://arxiv.org/abs/2312.00559
Nanoscale precipitates in the microstructure of nickel-based superalloys hinder dislocation motion, which results in an extraordinary strengthening effect at elevated temperatures. We used molecular dynamics (MD) with classical effective potential to
Externí odkaz:
http://arxiv.org/abs/2310.01239
Autor:
Lapins, Sacha, Butcher, Antony, Kendall, J. -Michael, Hudson, Thomas S., Stork, Anna L., Werner, Maximilian J., Gunning, Jemma, Brisbourne, Alex M.
This article presents a weakly supervised machine learning method, which we call DAS-N2N, for suppressing strong random noise in distributed acoustic sensing (DAS) recordings. DAS-N2N requires no manually produced labels (i.e., pre-determined example
Externí odkaz:
http://arxiv.org/abs/2304.08120
The paper computes the Witt-sheaf cohomology rings of partial flag varieties in type A in terms of the Pontryagin classes of the subquotient bundles. The proof is based on a Leray-Hirsch-type theorem for Witt-sheaf cohomology for the maximal rank cas
Externí odkaz:
http://arxiv.org/abs/2302.11003
Autor:
Hudson, Thomas, Li, Xingjie Helen
Coarse-graining or model reduction is a term describing a range of approaches used to extend the time-scale of molecular simulations by reducing the number of degrees of freedom. In the context of molecular simulation, standard coarse-graining approa
Externí odkaz:
http://arxiv.org/abs/2302.06535
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 2331-2350
B\'ezout's theorem, nonequivariantly, can be interpreted as a calculation of the Euler class of a sum of line bundles over complex projective space, expressing it in terms of the rank of the bundle and its degree. We give here a generalization to the
Externí odkaz:
http://arxiv.org/abs/2211.05382
Autor:
Hudson, Thomas, Rindler, Filip
This work introduces a model for large-strain, geometrically nonlinear elasto-plastic dynamics in single crystals. The key feature of our model is that the plastic dynamics are entirely driven by the movement of dislocations, that is, $1$-dimensional
Externí odkaz:
http://arxiv.org/abs/2109.08749
Lattice defects in crystalline materials create long-range elastic fields which can be modelled on the atomistic scale using an infinite system of discrete nonlinear force balance equations. Starting with these equations, this work rigorously derives
Externí odkaz:
http://arxiv.org/abs/2108.04765