Departamento de Ciencia e Ingeniería de los Materiales e Ingeniería Química
http://hdl.handle.net/10016/14126
2017-05-23T22:36:00ZBivariate generating functions for a class of linear recurrences: General structure
http://hdl.handle.net/10016/24596
Bivariate generating functions for a class of linear recurrences: General structure
Barbero G., J. Fernando; Salas Martínez, Jesús; Sánchez Villaseñor, Eduardo Jesús
We consider Problem 6.94 posed in the book Concrete Mathematics by Graham, Knuth, and Patashnik, and solve it by using bivariate exponential generating functions. The family of recurrence relations considered in the problem contains many cases of combinatorial interest for particular choices of the six parameters that define it. We give a complete classification of the partial differential equations satisfied by the exponential generating functions, and solve them in all cases. We also show that the recurrence relations defining the combinatorial numbers appearing in this problem display an interesting degeneracy that we study in detail. Finally, we obtain for all cases the corresponding univariate row generating polynomials.
2014-07-01T00:00:00ZTopology of the Misner space and its g-boundary
http://hdl.handle.net/10016/24595
Topology of the Misner space and its g-boundary
Margalef Bentabol, Juan; Sánchez Villaseñor, Eduardo Jesús
The Misner space is a simplified 2-dimensional model of the 4-dimensional Taub-NUT space that reproduces some of its pathological behaviours. In this paper we provide an explicit base of the topology of the complete Misner space ℝ¹,¹/boost. Besides we prove that some parts of this space, that behave like topological boundaries, are equivalent to the g-boundaries of the Misner space.
2014-06-07T00:00:00ZFluorescently labeled protein-polymer bioconjugates using protein-derived macroinitiators from living radical polymerization
http://hdl.handle.net/10016/24594
Fluorescently labeled protein-polymer bioconjugates using protein-derived macroinitiators from living radical polymerization
Nicolas, Julien; San Miguel Arnanz, Verónica; Mantovani, Giuseppe; Haddleton, David
Bovine Serum Albumin (BSA) and lysozyme have been chemically transformed into macroinitiators for the synthesis of fluorescent bioconjugates by living radical polymerization. A new fluorescent monomer based on rhodamine B has been synthesized and incorporated into the polymer backbone of the bioconjugate by copolymerization. This provides a new strategy for the synthesis of fluorescent bioconjugates with improved traceability in biological environments, during biomedical assays.
2008-03-28T00:00:00ZHamiltonian description of the parametrized scalar field in bounded spatial regions
http://hdl.handle.net/10016/24592
Hamiltonian description of the parametrized scalar field in bounded spatial regions
Barbero G., J. Fernando; Margalef Bentabol, Juan; Sánchez Villaseñor, Eduardo Jesús
We study the Hamiltonian formulation for a parametrized scalar field in a regular bounded spatial region subject to Dirichlet, Neumann and Robin boundary conditions. We generalize the work carried out by a number of authors on parametrized field systems to the interesting case where spatial boundaries are present. The configuration space of our models contains both smooth scalar fields defined on the spatial manifold and spacelike embeddings from the spatial manifold to a target spacetime endowed with a fixed Lorentzian background metric. We pay particular attention to the geometry of the infinite dimensional manifold of embeddings and the description of the relevant geometric objects: the symplectic form on the primary constraint submanifold and the Hamiltonian vector fields defined on it.
2016-04-19T00:00:00Z