Outputs for MATHEMATICS Department (Year 2011)

Articles

• A Real Variable Characterization of Gromov Hyperbolicity of Flute Surfaces
• A fractional porous medium equation
• A matrix pencil approach to the existence of compactly supported reconstruction functions in average sampling
• A new linear spectral transformation associated with derivatives of Dirac linear functionals
• A pedagogical presentation of a C*-algebraic approach to quantum tomography
• A very simple characterization of Gromov hyperbolicity for a special kind of Denjoy domains
• Adomian Decomposition Method with Green's Function for Sixth-Order Boundary Value Problems
• Affinity Paths and information diffusion in social networks
• Analytic properties of Laguerre-type orthogonal polynomials
• Andrei Aleksandrovich Gonchar (on his 80th birthday)
• Asymptotic solvers for oscillatory systems of differential equations
• Biaxial nematic phases in fluids of hard board-like particles
• Branching dynamics of viral information spreading
• Chaos and Unpredictability in Evolutionary Dynamics in Discrete Time
• Computing the hyperbolicity constant
• Consistency and efficient solution of the Sylvester equation for ⋆-congruence
• Coordination and growth: the Stag Hunt game on evolutionary networks
• Covariant quantum fields on noncommutative spacetimes
• Crossed-ratchet effects and domain wall geometrical pinning
• Density of polynomials in some L² spaces on radial rays in the complex plane
• Disentangling categorical relationships through a graph of co-occurrences
• Disentangling social and group heterogeneities: Public Goods games on complex networks
• Domination problems for strictly singular operators and other related classes
• Dynamic effects induced by renormalization in anisotropic pattern forming systems
• Dynamical Renormalization Group Study for a class of non-local interface equations
• Dynamical strength of social ties in information spreading
• Effect of high frequency cathodic pulses on steel embedded in mortar: short and medium term tests
• Effect of polydispersity and soft interactions on the nematic versus smectic phase stability in platelet suspensions
• El problema del subespacio invariante en espacios de Banach
• Evolutionary games defined at the network mesoscale: The Public Goods game
• Fluid Adsorption at the Base of a Cylinder
• Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes
• H=xp Model Revisited and the Riemann Zeros
• Hyperbolicity and complement of graphs
• Hyperbolicity and parameters of graphs
• Intrinsic geometry approach to surface kinetic roughening
• Jacobi-Sobolev Orthogonal Polynomials: Asymptotics for N-Coherence of Measures
• Local bifurcation analysis of global and "blow-up" patterns for a fourth-order thin film equation
• Lowering operators associated with D-Laguerre-Hahn polynomials
• Monotonicity and asymptotic of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher derivatives
• Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy
• Nanoscale pattern formation at surfaces under ion-beam sputtering: A perspective from continuum models
• Nikishin systems are perfect
• Nikishin systems are perfect. The case of unbounded and touching supports
• On the Hyperbolicity Constant of Line Graphs
• On the hyperbolicity constant in graphs
• On the perturbation of singular analytic matrix functions: A generalization of Langer and Najman's results
• One-dimensional pattern of Au nanodots by ion-beam sputtering: formation and mechanism
• Optimal control realizations of Lagrangian systems with symmetry
• Orthogonal polynomials associated with an inverse quadratic spectral transform
• Palindromic companion forms for matrix polynomials of odd degree
• Perturbation theory for Hamiltonian matrices and the distance to bounded-realness
• Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices
• Perturbations on the subdiagonals of Toeplitz matrices
• Phase behaviour of mixtures of hard ellipses: a scaled particle density functional study
• Quantum geons on noncommutative spacetimes
• Random topologies and the emergence of cooperation: the role of short-cuts
• Ratchet effect on a relativistic particle driven by external forces
• Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations
• Regular multivariate sampling and approximation in L-p shift-invariant spaces
• Scaling of correlation functions near capillary condensation
• Severe hindrance of viral infection propagation in spatially extended hosts
• Sine-Gordon wobbles through Backlund transformations
• Sobolev formal orthogonality on algebraic curves and extensions of Favard theorem
• Sobolev-Gegenbauer-type orthogonality and a hydrodynamical interpretation
• Sobre un teorema de Hadamard y la fórmula de Cauchy-Hadamard
• Social aggregation as a cooperative game
• Special Issue Proceedings of the International Workshop on Orthogonal Polynomials and Approximation Theory dedicated to the 60th Anniversary of Guillermo Lopez Lagomasino
• Species assembly in model ecosystems, I: Analysis of the population model and the invasion dynamics
• Species assembly in model ecosystems, II: Results of the assembly process
• Struggle for space: viral extinction through competition for cells
• Switches, excitable responses and oscillations in the Ring1B/Bmi1 ubiquitination system
• The Joker effect: cooperation driven by destructive agents
• The Laguerre-Sobolev-Type Orthogonal Polynomials. Holonomic Equation And Electrostatic Interpretation
• The behavior of the principal eigenvalue of a mixed elliptic problem with respect to a parameter
• The equation XA+AX*=0 and the dimension of *congruence orbits*
• The holonomic equation of the Laguerre-Sobolev-type orthogonal polynomials: a non-diagonal case
• The self-interaction of a fluid interface, the wavevector dependent surface tension and wedge filling
• The solution of the equation XA + AX(T)=0 and its application to the theory of orbits
• The spatial Ultimatum game revisited
• The zero-removing property and Lagrange-type interpolation series
• Theory and simulation of the confined Lebwohl-Lasher model
• Turnout intention and random social networks
• Twists and Gromov Hyperbolicity of Riemann Surfaces
• Twitter y política: información, opinión y ¿predicción?
• Unbounded solutions of the nonlocal heat equation

Books

• La Erosión de Superficies: Invariancia de Escala y Formación de Patrones

Book Chapters

• Modular theory by example. In: Aspects of operator algebras and applications
• Numerical Integrator for Continuum Equations of Surface Growth and Erosion. In: Computational Nanotechnology Modeling and Applications with MATLAB
• [Apendix]: Basic definitions and results for operator algebras. In: Aspects of operator algebras and applications

Conference Contributions

• A version of the fundamental theorem of algebra for Markov functions and generalization of Markov´s theorem
• About games and invasions
• Accurate Solution of Structured Linear System and Least Square Problems Through Rank Revealing Decompositions
• Accurate Solutions of Structured Linear Systems and Linear Square Problems
• Accurate solution of the least squares problems via rank-revealing decomposition
• An adaptative numerical method to handle blow-up in a parabolic system
• Analytical and Numerical Aspects of a Generalization of the Complementary Error Function
• Analytical description of pattern formation processes by ion beam erosion
• Analytical sampling, Lagrange-type interpolation series and de Branges spaces
• Around Folner sequences in Operator Theory and Operator Algebras
• Aspects of Higher Order Differential Equations
• Asymptotic Numerical Methods for Oscillatory Systems of Differential Equations
• Asymptotic Numerical Solvers for Oscillatory Systems of Differential Equations
• CMV, GGT, and Factorization of Matrices. Some Applications in Signal Theory
• Capillarity and gravity: New phase transitions
• Chaos and Unpredictability in Evolutionary Dynamics in Discrete Time
• Characterization of accessibility for affine connection control systems at some points with nonzero velocity
• Compactly supported reconstruction functions in average sampling: A matrix pencil approach
• Condition numbers for inversion of Fiedler companion matrices
• Condition numbers of Fieldles Companion matrices
• Congruence orbits of matrices and palindromic pencils, and the solution of the equation XA+AX^T=0
• Consistency and efficient solution of the Sylvester equation for ⋆-congruence: AX + X⋆B = C
• Consistency and efficient solution of the Sylvester equation for congruence: AX+X?B = C
• Differential Orthogonality and Hydrodynamical Models
• Directional perturbation in structures eigenproblems
• Domination propieties and operator ideals
• Dynamic effects induced by renormalization in anisotropic pattern forming systems
• Effect of polydispercity and soft interactions on the nematic versus smectic phase stability in platelet suspensions
• Emergence of Responsive Strategies in Iterative Games
• Emergencia de estrategias en juegos iterados con reciprocidad directa
• Escaping geodesics in Riemannian surfaces with variable negative curvature
• Estudio mediante geometría intrínseca de procesos de crecimiento cinéticos con rugosidad
• Evolutionary Dynamics and Conditional Cooperation in the Iterated Prisoners Dilemma
• Extrapolación en $L^{p, \infty}(\mu)$
• Fases nemáticas biaxiales en fluidos de partículas duras con geometría tipo losa
• Fiedler linearizations of matrix polynomials
• Fluctuations in a moving boundary description of diffusive interface growth
• Foelner sequences in operator Theory and operator Algebras
• Fundamentos de la teoría de control óptimo geométrico
• Generalized sampling in L2 (Rd) shift-invariant subspaces with multiple stable generators
• Generators of the group of rational spectral transformations for non-trivial C-functions
• Generators of the group of rational spectral transformations for nontrivial C-functions
• Hamiltonian perturbation of imaginary eigenvalues and passivation problem
• Hermite Padé Approximation and Asymptotics of Multiple Orthogonal Polynomials
• Human Behavior on Networks: Lessons and Perspectives from Game Theory
• Implicit Jacobi Algorithm for the SVD with High Relative Accuracy
• Integrating multiple signals in to cellular decisions by netwirks of protein modification cycles
• Integrating multiple signals into cell decisions by networks of protein modification cycles
• Invasion Dynamics in Iterative Games
• Ion bearb etching of optical silicon surface and surface roughness optimization
• KPZ asymptotics of the noisy Kuramoto-Sivashinshy equation in two dimensions
• La complejidad de los mercados financieros
• La ecuación de Kuramoto-Sivashinsky estocástica pertenece a la clase de universalidad Kardar-Parisi-Zhang en dos dimensiones
• La lucha por el espacio: extinción viral debida a la competencia por celulas
• Las geodésicas con curvatura negatva
• Lipschitz estimates for solutions of elliptic equations singular at the boundary
• Macroscopic effects of internal noise on Fisher fronts
• Mathematical Modeling of Human Communication
• Mixed type Angelesco-AT system are pefect
• Modular Theory for von Neumann algebras and some applications to quantum physics
• Monotonicity of Zeros of Laguerre-Sobolev Type Orthogonal Polynomials
• Muestreo generalizado en subespacios invariantes por traslación de L2 (Rd).
• N-coherent pairs of measures
• Nanoscale pattern formation at surfaces under ion-beam sputtering: a perspective from continuum models
• Numerical and Asymptotic Analysis of Oscillatory Systems of Differential Equations
• On a class of orthogonal polynomials with respect to Jacobi operator
• On a new class of matrix orthogonal polynomials satisfying second order differential equations
• Orthogonal Polynomials for Complex Gaussian Quadrature
• Orthogonal polynomials and Sobolev inner products asymptotics, zeros and spectral properties
• Orthogonality with respect to a Laguerre differential operator and fluid dynamical model
• Palindromic pencils, orbits, and the solution of the equation XA+AXT = 0
• Partition Function and Free Energy in the Cubic Random Matrix Model
• Pattern formation vs kinetic roughening in diffusive interface growth
• Perturbations of moment matrices
• Prisioner´s Dilemma on a sizeable network: experiment and theory
• Prisoner's Dilemma on a Sizeable Network: An Experiment with Human Subjects
• Prisoner's Dilemma on a Sizeable Network: Experiment and Theory
• Problemas elipticos no lineales con terminos de orden inferior singulares
• Quadratic decomposition of orthogonal polynomials, Stieltjes functions and Laguerre-Hahn linear functionals
• Quantitative description of IBS nanopattern dynamics through an effective interface equation
• Recent Results on Fiedler Linearizations for Matrix Polynomials
• Recovery of eigenvectors of matrix polynomials from generalized Fiedler linearizations
• Recovery of eigenvectors of matrix polynomials from generalized Fielder linearizations
• Reduction of Optimal Control Problems with Symmetry and Dirac Structures
• Replicator Dynamics for the Multiplayers Prisoner's Dilemma with "Moody" Conditional Cooperators
• Road to tomography of fields
• Social networks, communication patterns between humans and information diffusion
• Stability of QR-based system solvers for a subclass of Quasiseparable Order One matrices
• Stress driven viscous flow: theory and experiments
• Structured Perturbation Theory for Diagonally Dominant Matrices and Numerical Applications
• Structured perturbation theory of diagonally dominant matrices and numerical applications
• Systematic study of responsive strategies through an invasion scheme
• Szego and para-orthogonal polynomials on the real line. Zeros and canonical spectral transformations
• Temporal patterns of human communication
• The Cauchy Problem for a Fourth-Order Thin Film Equation
• The Cauchy Problem for a Fourth-Order Thin Film Equation
• The Cauchy Problem of a Fourth-Order Thin Film Equation
• The Cauchy Problem of a Fourth-Order Thin Film Equation
• The Cauchy Problem of a Fourth-Order Thin Film Equation
• The Elementary Divisor Structure of Quadratic Matrix Polynomials
• The Quadratic Realizability Problem for Matrix Polynomials
• The Role of Short-Cuts for the Emergence of Cooperation on Random Topologies
• The Struggle for Space: A New Mechanism to Viral Extinction
• The Theory of Orbits in Numerical Linear Algebra and Control Theory
• The dynamical strength of social ties in information spreading
• The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms
• The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms.
• The solution of the equation XA+AXT = 0 and its application to the theory of orbits
• Three lectures on global boundary conditions and the theory of self-adjoint extensions of the covariant Laplace-Beltrami and Dirac operators on Riemannian manifolds with boundary
• Time allocation in social networks: correlation between social structure and human dynamics
• Topological Expansion in the Cubic Random Matrix Model
• Topological Traps and Coordination Failures on Real Networks
• Unstable non-local interface dynamics
• What lies beyond the surface tension?: the self-interaction of a fluid interface
• Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms
• ¿A dónde nos llevó el control óptimo geométrico?

Projects

• Estructura y dinámica de fluidos complejos y sus interfases (FLUCOMPLEX)
• Estructuras globales y métodos numéricos, sistemas dinámicos y control: aplicaciones cuánticas
• Estudio de usuarios más activos e influyentes en servicios de geolocalización, patrones de movilidad, así como lugares que son más visitados en la ciudad de Madrid
• Experimentación, modelización y simulación de sistema complejos en fenómenos físicos, Económicos, Sociales y Biológicos
• Polinomios matriciales y Teoría de control
• Problemas no locales: convoluciones y operadores fraccionarios
• Resilience and interaction of networks in ecology and economics (RESINEE)

Supervised Theses

• Asymptotic properties and Fourier expansions of orthogonal polynomials with respect to some Sobolev inner products
• Estudio de la constante de hiperbolicidad en grafos
• Hiperbolicidad de grafos en sentido de gromov

Working Papers

• Operator algebras: an informal overview