Expected signature of Brownian motion up to the first exit time from a bounded domain
Lyons, T Ni, H (31 Jan 2011)
The partial sum process of orthogonal expansion as geometric rough process with Fourier series as an example---an improvement of Menshov-Rademacher theorem
Yang, D Lyons, T (06 Sep 2011)
Evolving Communities with Individual Preferences
Cass, T Lyons, T (18 Mar 2013)
Inverting the signature of a path
Lyons, T Xu, W (30 Jun 2014)
Integration of time-varying cocyclic one-forms against rough paths
Lyons, T Yang, D (12 Aug 2014)
Pathwise approximation of SDEs by coupling piecewise abelian rough paths
Flint, G Lyons, T (06 May 2015)
Uniqueness for the signature of a path of bounded variation and the reduced path group
Hambly, B Lyons, T (26 Jul 2005)
Do astigmatid teeth matter: a tribological review of cheliceral chelae in co-occuring mites from UK beehives
Bowman, C Experimental and Applied Acarology volume 92 issue 4 567-686 (19 Apr 2024)
Opening shot of video - James Munro in Christmas jumper

Here's a Christmas puzzle for mathematicians and non-mathematicians alike. Especially non-mathematicians.

Three kings each arrive with a gift; one has brought gold, one has brought frankincense, and one has brought myrrh (and no-one has brought more than one gift).

The first king, Balthasar, says “I have brought gold.”

The second king, Caspar, says “I have not brought gold.”

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