Orthogonal surfaces are nice mathematical objects which have interesting connections to various fields, e.g., integer programming, monomial ideals and order dimension. While orthogonal surfaces in one or two dimensions are rather trivial already the three dimensional case has a rich structure with connections to Schnyder woods, planar graphs and 3-polytopes. Our objective is to detect more of t...

X iv :m at h/ 05 12 40 7v 2 [ m at h. FA ] 1 8 Ja n 20 06 Notes on Matrix Valued Paraproducts Tao MEI 1 Abstract Denote by Mn the algebra of n×n matrices. We consider the dyadic paraproducts πb associated with Mn valued functions b, and show that the L(Mn) norm of b does not dominate ||πb||L2(l2n)→L2(l2n) uniformly over n. We also consider paraproducts associated with noncommutative martingales...

X iv :m at h/ 06 10 33 0v 1 [ m at h. C V ] 1 0 O ct 2 00 6 From miranda Tue Oct 10 09:42:48 2006 Return-Path: ¡[email protected]¿ Received: miranda@localhost) by coxeter.math.toronto.edu (AIX5.2/8.11.6p2/8.11.0/UTMath 1.0) id k9ADgmn118742; Tue, 10 Oct 2006 09:42:48 -0400 Date: Tue, 10 Oct 2006 09:42:48 -0400 From: Miranda Tang ¡[email protected] Message-Id: ¡200610101342.k9ADgmn118742...

A. J. SMITS, J. MONTY, M. HULTMARK, S. C. C. BAILEY, N. HUTCHINS and I. MARUSIC Journal of Fluid Mechanics / Volume 676 / June 2011, pp 41 ­ 53 DOI: 10.1017/jfm.2011.19, Published online: 06 April 2011 Link to this article: http://journals.cambridge.org/abstract_S002211201100019X How to cite this article: A. J. SMITS, J. MONTY, M. HULTMARK, S. C. C. BAILEY, N. HUTCHINS and I. MARUSIC (2011). Sp...

06-P038 Great vessel development requires dizygous expression of Chd7 and Tbx1 in pharyngeal ectoderm Karen McCue, Victoria Randall, Catherine Roberts, Vanessa Kyriakopoulou, Francesca Vitelli, Katrina Prescott, Koen Devriendt, Charles Shaw-Smith, Subreena Simrick, M. Albert Basson, Elizabeth Illingworth, Peter Scambler Molecular Medicine Unit Institute of Child Heath, London, United Kingdom Te...

For a Veech surface (X, ω), we characterize Aff + (X, ω) invariant subspaces of X n and prove that non-arithmetic Veech surfaces have only finitely many invariant subspaces of very particular shape (in any dimension). Among other consequences we find copies of (X, ω) embedded in the moduli-space of translation surfaces. We study illumination problems in (pre-)lattice surfaces. For (X, ω) prelat...

Poisson algebras are usually defined as structures with two operations, a commutative associative one and an anticommutative one satisfying the Jacobi identity. These operations are tied up by a distributive law, the Leibniz law. We present Poisson algebras as algebras with one operation which enables one to study them as part of nonassociative algebras. We study the algebraic and cohomological...

It is widely assumed that O(m+ lg σ) is the best one can do for finding a pattern of length m in a compacted trie storing strings over an alphabet of size σ, if one insists on linear-size data structures and deterministic worst-case running times [Cole et al., ICALP’06]. In this article, we first show that a rather straightforward combination of well-known ideas yields O(m+lg lg σ) deterministi...

06-P038 Great vessel development requires dizygous expression of Chd7 and Tbx1 in pharyngeal ectoderm Karen McCue, Victoria Randall, Catherine Roberts, Vanessa Kyriakopoulou, Francesca Vitelli, Katrina Prescott, Koen Devriendt, Charles Shaw-Smith, Subreena Simrick, M. Albert Basson, Elizabeth Illingworth, Peter Scambler Molecular Medicine Unit Institute of Child Heath, London, United Kingdom Te...