School of Mathematics: Recent submissions
Now showing items 301-320 of 393
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A Burns-Krantz type theorem for domains with corners
(Springer, 2006)The goal of this paper is twofold. First, to give purely local boundary uniqueness results for maps defined only on one side as germs at a boundary point and hence not necessarily sending any domain to itself and also under ... -
Deformation of generic submanifolds in a complex manifold
(Elsevier, 2007)This paper shows that an arbitrary generic submanifold in a complex manifold can be deformed into a 1-parameter family of generic submanifolds satisfying strong nondegeneracy conditions. The proofs use a careful analysis ... -
Boundary jets of holomorphic maps between strongly pseudoconvex domains
(Elsevier, 2008)We study jets of germs of holomorphic maps between two strongly pseudoconvex domains under the condition that the image of one domain is contained into the other and a given boundary point is (non-tangentially) mapped to ... -
Obstructions to embeddability into hyperquadrics and explicit examples
(Springer, 2008)We give series of explicit examples of Levi-nondegenerate real-analytic hypersurfaces in complex spaces that are not transversally holomorphically embeddable into hyperquadrics of any dimension. For this, we construct ... -
Lie group structures on automorphism groups of real-analytic CR manifolds
(The Johns Hopkins University Press, 2008)Given any real-analytic CR manifold M, we provide general conditions on M guar- anteeing that the group of all its global real-analytic CR automorphisms AutCR(M) is a Lie group (in an appropriate topology). In particular, ... -
Degenerate real hypersurfaces in C2 with few automorphisms
(2009)We introduce new biholomorphic invariants for real-analytic hypersurfaces in 2-dimensional complex space and show how they can be used to show that a hypersurface possesses few automorphisms. We give conditions, in terms ... -
A new multi-neuron spike-train metric
(MIT Press, 2008)The Victor-Purpura spike-train metric has recently been extended to a family of multi-neuron metrics and used to analyze spike trains recorded simultaneously from pairs of proximate neurons. The Victor- Purpura metric ... -
A comment on "A fast L_p spike alignment metric" by A. J. Dubbs, B. A. Seiler and M. O. Magnasco [arXiv:0907.3137]
(2009)Measuring the transmitted information in metric-based clustering has become something of a standard test for the performance of a spike train metric. In this comment, the recently proposed L_p Victor-Purpura metric is used ... -
Temperature quantization from the TBA equations
(2009)We analyze the Thermodynamic Bethe Ansatz equations for the mirror model which determine the ground state energy of the light-cone AdS5?S5 [ <mml:msub><mml:mi mathvariant="normal">AdS</mml:mi><mml:mn>5</mml:mn></mml:msub ... -
The sparse decomposition of sound in the time domain using non-negative quadratic programming.
(2009)Non-negative matrix deconvolution and sparse decomposition are useful tools for source separation and acoustic object recognition. Here, a new algorithm for calculating a sparse decomposition of sound in the time domain ... -
Tuning for criticality: A new hypothesis for sleep
(MIT, 2009)We propose that the critical function of sleep is to prevent uncontrolled neuronal feedback while allowing rapid responses and prolonged retention of short-term memories. Through learning, the brain is tuned to react ... -
Skyrmions and monopoles: dihedrally-symmetric 3-solitons.
(Met, 2001)The similarity between Skyrmions and Bogomolny-Prasad-Sommerfield (BPS) monopoles has often been remarked. In this talk I will illustrate this similarity by reviewing the rational map ansatz and by discussing the specific ... -
Factorial states, upper multiplicity and norms of elementary operators
(2008)Let {pi} be an irreducible representation of a C*-algebra A. We show that the weak* approximation of factorial states associated to {pi} by type I factorial states of lower degree is closely related to the value of the ... -
Completely bounded mappings and simplicial complex structure in the primitive ideal space of a C*-algebra
(American Mathematical Society, 2009)We consider the natural contraction from the central Haagerup tensor product of a C*-algebra A with itself to the space of completely bounded maps CB(A) on A and investigate those A where there exists an inverse map ... -
Positive solutions for nonlinear singular boundary value problems on the half line
(Hikari Ltd, 2007)We discuss the existence of positive solutions for singular second order boundary value problems x'' = ?f(t, x, x'), ax(0) ? bx'(0) = k ? 0, x'(?) = 0, where f may be singular at x = 0 and x' = 0 and can change sign. ... -
Finding community structures in networks by playing pass-the-parcel.
(2008)Many data sets can be represented by undirected networks. Often, an interesting and important feature of these networks is the existence of communities; groups of nodes whose interconnectivity is higher than the average ... -
Studying spike trains using a van Rossum metric with a synapse-like filter
(2009)Spike trains are unreliable. For example, in the primary sensory areas, spike patterns and precise spike times will vary between responses to the same stimulus. Nonetheless, information about sensory inputs is communicated ... -
Water waves and Integrability
(Royal Society, 2007)The Euler?s equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymtotic expansion of the Euler?s equations is taken (to a certain order of smallness of the scale parameters), ... -
Krylov subspaces from bilinear representations of nonlinear systems
(Emerald, 2007)For efficient simulation of state-of-the-art dynamical systems as arise in all aspects of engineering, the development of reduced-order models is of paramount importance. While linear reduction techniques have received ...
