Grupos de investigación donde participan miembros del departamento

Grupo de investigación	Universidad	Investigador/es participante/s	Página web
Sistemas dinámicos, aprendizaje y control (SisDAC)	Universidad Politécnica de Madrid	Héctor Barge Yáñez
Geometría y sus aplicaciones	Universidad Politécnica de Madrid	Juan Ángel Rojo Carulli Jonathan Sánchez Hernández Alexandre Quesney Alfonso Zamora Saiz
Análisis estocástico de sistemas diferenciales (AESDIF)	Universidad de Sevilla	Javier López de la Cruz
Modelos matemáticos no lineales	Universidad Politécnica de Madrid	Javier López de la Cruz

Líneas de investigación de los miembros del departamento

Proyectos de investigación en los que participan miembros del departamento

Publicaciones científicas recientes

Autor/es	Título de la publicación	Revista	Año	Enlace
T. Caraballo J. López-de-la-Cruz V. Caraballo-Romero	Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model	Mathematics and Computers in Simulation	2024
T. L. Gómez A. F. Herrero A. Zamora	The moduli stack of principal $\rho$-sheaves and Gieseker–Harder–Narasimhan filtrations	Mathematische Zeitschrift	2024
H. Barge J.J. Sánchez-Gabites	The realization problem of attractors for non-connected compacta	Topology and its applications	2023
H. Barge J.M.R. Sanjurjo	The topology of dissipative systems	In European Congress of Mathematics	2023
H. Barge J.J. Sánchez-Gabites	The geometric index and attractors of homeomorphisms of R^3	Ergodic Theory and Dynamical Systems	2023
T. Caraballo J. López-de-la-Cruz V. Caraballo-Romero	Chemostat models with Monod and Haldane consumption functions and random environmental fluctuations	Mathematical Methods in the Applied Sciences	2023
H. Barge J.M.R. Sanjurjo	Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems	Discrete and Continuous Dynamical Systems	2022
T. Caraballo J. López-de-la-Cruz V. Caraballo-Romero	Non-autonomous chemostat models with non- monotonic growth	International Journal of Computer Mathematics	2022
T. Caraballo J. López-de-la-Cruz A. Rapaport	Study of the dynamics of two chemostats connected by Fickian  diffusion with bounded random fluctuations	Stochastics and Dynamics	2022
C. Florentino A. Nozad J. Silva A. Zamora	On Hodge polynomials of singular character varieties	Current Trends in Analysis, its Applications and Computation (Proceedings of the 12th ISAAC Congress, Aveiro, Portugal 2019), Birkhäuser	2022
C. Florentino A. Nozad A. Zamora	Generating series for the E-polynomials of GL(n,C)-character varieties	Mathematische Nachrichten	2022
J. Korinman A. Quesney	The quantum trace as a quantum non-abelianization map	Journal of Knot Theory and its Ramifications	2022
H. Barge, J.J. Sánchez-Gabites	Knots and solenoids that cannot be attractors of self-homeomorphisms of R^3	International Mathematics Research Notices	2021
H. Barge	Cech cohomology, homoclinic trajectories and robustness of non-saddle sets	Discrete and Continuous Dynamical Systems	2021
A. Cañas, V. Muñoz, J. Rojo, A. Viruel	A K-contact simply connected 5-manifold with no semi-regular Sasakian structure	Publicacions Matemàtiques	2021
T. Caraballo J. López-de-la-Cruz	Survey on chemostat models with bounded random input flow	Mathematical Modelling and Control	2021
T. Caraballo J. López-de-la-Cruz	Bounded random fluctuations on the input flow in chemostat models with wall growth an non-monotonic kinetics	Mathematics	2021
C. Florentino, A. Nozad and A. Zamora	Serre polynomials of SLn- and PGLn-character varieties of free groups	Journal of Geometry and Physics	2021
U. Jezernik, J. Sánchez	On the subjectivity of word maps on PSL2	Journal of Algebra	2021
L. Martin, J. Rojo	Resolution of 4-dimensional symplectic orbifolds	Annals of Global Analysis and Geometry	2021
I. Mencattini, A. Quesney	Crossed morphisms, integration of post-Lie algebras and the post-Lie Magnus expansion	Communications in Algebra	2021
H. Barge, A. Giraldo and J.M.R. Sanjurjo	Bifurcations, robustness and shape of attractors of discrete dynamical systems	Journal of Fixed Point Theory and Applications	2020
H. Barge, J.M.R. Sanjurjo	Dissonant points and the region of influence of non-saddle sets	Journal of Differential Equations	2020
H. Barge, J.M.R. Sanjurjo	A Conley index study of the evolution of the Lorenz strange set	Physica D	2020
T. Caraballo R. Colucci J. López-de-la-Cruz A. Rapaport	Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate	Mathematical Biosciences and Engineering	2020
R. Colucci J. López-de-la-Cruz	Dynamics of fermentation models for the production of dry and sweet wine	Communications in Pure and Applied Analysis	2020
M. Fernández J. Sánchez	On SO(3)-bundles over the Wolf spaces	Revista Matemática Iberoamericana	2020
J. López-de-la-Cruz et al	Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonas aeruginosa infection	Communications in Nonlinear Science and Numerical Simulation	2020
I. Mencattini, A. Quesney, P. Silva,	Post-symmetric braces and integration of post-Lie algebras	Journal of Algebra	2020
V. Muñoz, J. Rojo	Symplectic resolution of orbifolds with homogeneus isotropy	Geometría Dedicata	2020
V. Muñoz, J. Rojo, A.Tralle	Homology Smale-Barden manifolds with K-contact and Sasakian structures	International Mathematics Research Notices	2020
T. Caraballo R. Colucci J. López-de-la-Cruz A. Rapaport	A way to model stochastic perturbations in population dynamics models with bounded realizations	Communications in Nonlinear Science and Numerical Simulation	2019
T. Caraballo M. J. Garrido-Atienza J. López-de-la-Cruz A. Rapaport	Modeling and analysis of random and stochastic input flows in the chemostat model	Discrete and Continuous Dynamical Systems – Series B	2019
T. Caraballo J. López-de-la-Cruz A. Rapaport	Modeling bounded random fluctuations in biological systems: application to the chemostat model with two species	IFAC Papers Online	2019
Carmen Escribano Raquel Gonzalo Emilio Torrano	A Characterization of Polynomial Density on Curves via Matrix Algebra	Mathematics	2019
Carmen Escribano Raquel Gonzalo Emilio Torrano	A dichotomy result about Hessenberg matrices associated with measures in the unit circle	Mathematical Methods in the Applied Sciences	2019
Carmen Escribano Raquel Gonzalo Emilio Torrano	Hermitian positive definite Toeplitz matrices and Hessenberg matrices	Computational and Mathematical Methods	2019
E. Hoefel, M. Livernet, A. Quesney	On the deformation complex of homotopy affine actions	Advances in Mathematics	2019
J. López-de-la-Cruz	Random and stochastic disturbances on the input flow in chemostat models with wall growth	Stochastic Analysis and Applications	2019

Libros

Autor/es	Título de la publicación	Editorial	Año	Enlace
A. Zamora Saiz and R. Zúñiga-Rojas	Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration	SpringerBriefs, Springer Nature	2021
A. Zamora Saiz, C. Quesada González, L. Hurtado Gil and D. Mondéjar Ruiz	An introduction to data analysis with R	Springer Nature, collection Use R!	2020