Imperial College London

Dr Alex L Ribeiro-Castro

Business School

 
 
 
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Contact

 

+44 (0)20 7594 3035a.ribeiro-castro Website

 
 
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Location

 

377Business School BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

9 results found

Ribeiro Castro A, 2017, Noise and dissipation in rigid body motion, Publisher: Springer

Using the rigid body as an example, we illustrate some features of stochastic geometric mechanics. These features include: (i) a geometric variational motivation for the noise structure involving Lie-Poisson brackets and momentum maps , (ii) stochastic coadjoint motion with double bracket dissipation , (iii) description and its stationary solutions , (iv) random dynamical systems , random attractors and SRB measures connected to statistical physics.

Conference paper

Castro A, Colley SJ, Kennedy G, Shanbrom Cet al., 2017, A Coarse Stratification of the Monster Tower, Michigan Mathematical Journal, Vol: 66, ISSN: 0026-2285

Journal article

Arnaudon A, De Castro AL, Holm D, 2017, Noise and Dissipation on Coadjoint Orbits, Journal of Nonlinear Science, Vol: 28, Pages: 91-145, ISSN: 0938-8974

We derive and study stochastic dissipative dynamics on coadjoint orbits by incorporating noise and dissipation into mechanical systems arising from the theory of reduction by symmetry, including a semidirect product extension. Random attractors are found for this general class of systems when the Lie algebra is semi-simple, provided the top Lyapunov exponent is positive. We study in details two canonical examples, the free rigid body and the heavy top, whose stochastic integrable reductions are found and numerical simulations of their random attractors are shown.

Journal article

Castro A, Howard W, Shanbrom C, 2017, Complete spelling rules for the Monster tower over three-space, Journal of Geometric Mechanics, Vol: 9, Pages: 317-333, ISSN: 1941-4897

Journal article

Shanbrom C, Howard W, Castro AL, 2015, Bridges between subriemannian geometry and algebraic geometry: Now and then, The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain), Publisher: American Institute of Mathematical Sciences

Conference paper

Castro AL, Howard WC, 2013, A Semple-type approach to a problem of Goursat: The multi-flag case, Comptes Rendus Mathematique, Vol: 351, Pages: 921-925, ISSN: 1631-073X

Journal article

Castro AL, Montgomery R, 2012, Spatial curve singularities and the monster/semple tower, Israel Journal of Mathematics, Vol: 192, Pages: 381-427, ISSN: 0021-2172

Journal article

Castro A, Montgomery R, 2008, The chains of left-invariant Cauchy–Riemann structures on SU(2), Pacific Journal of Mathematics, Vol: 238, Pages: 41-71, ISSN: 0030-8730

Journal article

Shi X, Ribeiro Castro AL, Manduchi R, Montgomery Ret al., 2006, Rotational Invariant Operators Based on Steerable Filter Banks, IEEE Signal Processing Letters, Vol: 13, Pages: 684-687, ISSN: 1070-9908

Journal article

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