Outputs for MATHEMATICS Department (Year 2023)

Articles

• A correspondence between surjective local homeomorphisms and a family of separated graphs
• A geometric construction of isospectral magnetic graphs
• A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs
• A look at generalized degenerate Bernoulli and Euler matrices
• A stationary population model with an interior interface-type boundary
• Abrupt onset of the capillary-wave spectrum at wall-fluid interfaces
• Accurate prediction of the solid-state region of the Ni-Al phase diagram including configurational and vibrational entropy and magnetic effects
• Approximate and ensemble local entanglement transformations for multipartite states
• Asymptotics of matrix valued orthogonal polynomials on [-1,1]
• Band depth based initialization of K-means for functional data clustering
• Band-diagonal operators on Banach lattices: matrix dynamics and invariant subspaces
• Bound and ground states of coupled 'NLS-KdV' equations with Hardy potential and critical power
• Charging capacitors from thermal fluctuations using diodes
• Classical analogs of generalized purities, entropies, and logarithmic negativity
• Coarse-graining the vertex model and its response to shear
• Coherent pairs of measures of the second kind on the real line and Sobolev orthogonal polynomials. An application to a Jacobi case
• Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials
• Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions
• Correction: Abrupt onset of the capillary-wave spectrum at wall-fluid interfaces
• Differential properties of Jacobi-Sobolev polynomials and electrostatic interpretation
• Entropic contribution to phenotype fitness
• Exponential topological indices: optimal inequalities and applications
• Finding the effective dynamics to make rare events typical in chaotic maps
• Finite rank perturbations of normal operators: spectral idempotents and decomposability
• Flag codes: distance vectors and cardinality bounds
• Freestanding graphene heat engine analyzed using stochastic thermodynamics
• Frequency isolation for gyroscopic systems via hyperbolic quadratic eigenvalue problems
• Generalized mixed type Bernoulli-Gegenbauer polynomials
• Groupoid and algebra of the infinite quantum spin chain
• Hessenberg-Sobolev matrices and Favard type theorem
• Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
• Hybrid Koopman C¿-formalism and the hybrid quantum-classical master equation
• Inverse degree index: exponential extension and applications
• Iterative Schemes for Probabilistic Domain Decomposition
• Mean field theory of chaotic insect swarms
• Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials
• Nonequilibrium criticality driven by Kardar-Parisi-Zhang fluctuations in the synchronization of oscillator lattices
• Nonlinear Fractional Schrödinger Equations coupled by power-type nonlinearities
• On bundles of matrix pencils under strict equivalence
• On integral Sombor indices
• On the Riemann-Hilbert approach to asymptotics of tronquée solutions of Painlevé I
• On the characterizations of third-degree semiclassical forms via polynomial mappings
• On the consistency of the matrix equation XT AX=B when B is symmetric: the case where CFC(A) includes skew-symmetric blocks
• On the generalized Fourier transform
• On the interplay of hierarchies, conflicts, and cooperation: An experimental approach
• Prediction of the liquid-crystal phase behavior of hard right triangles from fourth-virial density-functional theories
• Properties of multivariate Hermite polynomials in correlation with Frobenius-Euler polynomials
• Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
• Quasi-triangularization of matrix polynomials over arbitrary fields
• Revan Sombor indices: Analytical and statistical study
• Scale-Free chaos in the 2D harmonically confined Vicsek model
• Scale-free chaos in the confined Vicsek flocking model
• Secure post-quantum group key exchange: Implementing a solution based on Kyber
• Sequentially ordered Sobolev inner product and Laguerre-Sobolev polynomials
• Social interaction and negotiation outcomes: An experimental approach
• Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations
• Structure of the Medium Formed in Heavy Ion Collisions
• Teamwork Management in Additive Manufacturing Using Game Theory
• Texturization of polycrystalline titanium surfaces after low-energy ion beam irradiation: impact on biocompatibility
• The Cauchy Exponential of Linear Functionals on the Linear Space of Polynomials
• The DL(P) vector space of pencils for singular matrix polynomials
• The ECM and tissue architecture are major determinants of early invasion mediated by E-cadherin dysfunction
• The categorical foundations of quantum information theory: Categories and the Cramer-Rao inequality
• The equation XTAX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?
• Towards ordered Si surface nanostructuring: Role of an intermittent ion beam irradiation approach
• Triadic influence as a proxy for compatibility in social relationships
• Universal interface fluctuations in the contact process
• Upper and lower bounds for topological indices on unicyclic graphs
• Zeros of Jacobi and ultraspherical polynomials

Book Chapters

• A Framework for Intensive Care Units Cost Using Game Theory. In: Advances in Health and Disease. Volume 78
• Hospital Management and Game Theory. In: Advances in Health and Disease. Volume 67
• On Uhlmann's proof of the monotonicity of the relative entropy. In: Particles, Fields And Topology: Celebrating A. P. Balachandran

Conference Contributions

• Matrices degeneradas generalizadas de Bernoulli y Euler
• Modular Sumcheck Proofs With Applications to Machine Learning and Image Processing
• New reverse Hölder-type inequalities and applications
• Prediction of the liquid-crystal phase behavior of hard right triangles from fourth-virial density functional theories

Projects

• Efectos informacionales en modelos de presión de grupo
• Patrones de Crecimiento y Evolución - PGE
• Secure Communication via Classical and Quantum Technologies

Supervised Theses

• Collective behavior of biological aggregates
• Complex networks, data quality, and economics: the road to sustainable growth
• Extremal Polynomials. Asymptotic Behavior and Electrostatic Equilibrium Models
• From Point Particles to Gauge Field Theories: a Differential- Geometrical approach to the Structures of the Space of Solutions
• Insight into social physics: Uncovering the structure and dynamics of social relationships
• La sociedad como un sistema complejo: comportamiento y estructura
• Mathematical modeling of nitrogen regulated biological systems
• Study of gravitational theories through Hamiltonian methods and consistent deformations