Embedded Files
Some of the notes here appear on the arXiv which may be useful if you feel the need to cite any of these. If there is something you want me to put on the arXiv so you can cite it, I take requests.
2024a
Title: Chaotic dynamics in deterministic dynamical systems
Author(s): Andrew D. Lewis
Detail: Preprint for a handbook of nonlinear dynamics
2024a.pdf2020a
Title: Geometric analysis on real analytic manifolds
Author(s): Andrew D. Lewis
Detail: Preliminary musings that turned into my book in Springer's Lecture Notes in Mathematics with the same name
2020a.pdf2014a
Title: Local reachability of control systems in étalé Lie groupoids
Author(s): Saber Jafarpour and Andrew D. Lewis
Detail: Miscellaneous
2014a.pdf2013a
Title: A canonical treatment of line bundles over general projective spaces
Author(s): Andrew D. Lewis
Detail: Miscellaneous
2013a.pdf2011a
Title: Generalised subbundles, distributions, and families of vector fields: A comprehensive review
Author(s): Andrew D. Lewis
Detail: Notes prepared for a Summer School at ICMAT, June 2012
2011a.pdf2010a
Title: A top nine list: Most popular induced matrix norms
Author(s): Andrew D. Lewis
Detail: Miscellaneous
2010a.pdf2009c
Title: Subsets of Euclidean domains possessing a unique division algorithm
Author(s): Andrew D. Lewis
Detail: Miscellaneous
2009c.pdf2009b
Title: A square Riemann integrable function whose Fourier transform is not square Riemann integrable
Author(s): Andrew D. Lewis
Detail: Miscellaneous
2009b.pdf2009a
Title: Semicontinuity of rank and nullity and some consequences
Author(s): Andrew D. Lewis
Detail: Miscellaneous
2009a.pdf2007c
Title: Should we fly in the Lebesgue-designed airplane? - The correct defence of the Lebesgue integral
Author(s): Andrew D. Lewis
Detail: Miscellaneous
2007c.pdf2007b
Title: Connections and spaces of connections
Author(s): Andrew D. Lewis
Detail: Seminar on Foundations of Differential Geometry, Summer 2007
2007b.pdf2007a
Title: An illustration of Wang's Theorem
Author(s): Andrew D. Lewis
Detail: Seminar on Foundations of Differential Geometry, Summer 2007
2007a.pdf2006d
Title: The Maximum Principle of Pontyagin in control and optimal control
Author(s): Andrew D. Lewis
Detail: Notes for a course in Barcelona, May 2006
2006d.pdf2006c
Title: Frobenius's Theorem via Spencer theory
Author(s): Andrew D. Lewis
Detail: Notes from MATH 949
2006c.pdf2006b
Title: Geometric partial differential equations: Definitions and properties
Author(s): Andrew D. Lewis
Detail: Notes from MATH 949
2006b.pdf2006a
Title: The bundle of infinite jets
Author(s): Andrew D. Lewis
Detail: Notes from MATH 949
2006a.pdf2005c
Title: The formal Poincaré Lemma
Author(s): Andrew D. Lewis
Detail: Notes from MATH 949
2005c.pdf2005b
Title: Some jet bundle structure
Author(s): Andrew D. Lewis
Detail: Notes from MATH 949
2005b.pdf2005a
Title: The affine structure of jet bundles
Author(s): Andrew D. Lewis
Detail: Notes from MATH 949
2005a.pdf2002c
Title: Geometric sliding mode control: The linear and linearised theory
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: An unapplied approach to sliding mode control, so of interest to no one
2002c.pdf2002b
Title: The linearisation of a simple mechanical control system
Author(s): Francesco Bullo and Andrew D. Lewis
Detail: Miscellaneous
2002b.pdf2002a
Title: Geometric local controllability: second-order conditions
Author(s): Ron M.Hirschorn and Andrew D. Lewis
Detail: This is a long paper detailing an approach to controllability that I am no longer pursuing. Interesting stuff though.
2002a.pdf2001a
Title: A brief on controllability of nonlinear systems
Author(s): Andrew D. Lewis
Detail: For some reason, people like this note. I do not, and so will not be arXiv'ing it.
2001a.pdf2000b
Title: The geometry of the maximum principle for affine connection control systems
Author(s): Andrew D. Lewis
Detail: Now a part of the supplementary material in my book Geometric Control of Mechanical Systems with Francesco Bullo.
2000b.pdf2000a
Title: Momentum shift in cotangent bundle reduction
Author(s): Andrew D. Lewis
Detail: Miscellaneous
2000a.pdf1998a
Title: Lifting distributions to tangent and jet bundles
Author(s): Andrew D. Lewis
Detail: Miscellaneous
1998a.pdf1997c
Title: Variational principles for nonlinearly constrained systems in one independent variable
Author(s): Andrew D. Lewis
Detail: Miscellaneous
1997c.pdf1997b
Title: Energy-preserving affine connections
Author(s): Andrew D. Lewis
Detail: Miscellaneous
1997b.pdf1997a
Title: Reduction of simple mechanical systems
Author(s): Andrew D. Lewis
Detail: Mechanics and symmetry seminars, University of Warwick
1997a.pdf1995b
Title: Some two-dimensional manifolds with affine connections
Author(s): Andrew D. Lewis
Detail: Geometry reading group, California Institute of Technology
1995b.pdf1995a
Title: Notes on linear frame bundles
Author(s): Andrew D. Lewis
Detail: Geometry reading group, California Institute of Technology
1995a.pdf1993b
Title: Notes on mechanics, symmetry, reduction, holonomy, and control
Author(s): Andrew D. Lewis
Detail: Mechanical systems reading group, California Institute of Technology
1993b.pdf1993a
Title: Notes on principal fibre bundles
Author(s): Andrew D. Lewis
Detail: Mechanical systems reading group, California Institute of Technology
1993a.pdf1992a
Title: Group structures in a class of control systems
Author(s): Andrew D. Lewis
Detail: Miscellaneous
1992a.pdfPage updated
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