• openAccess   A Teaching proposal for the study of eigenvectors and eigenvalues 

      Beltrán Meneu, María José; murillo arcila, marina; Jordá Mora, Enrique Omnia Science (2017)
      In this work, we present a teaching proposal which emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. These concepts are introduced using the notion of the moment of inertia ...
    • openAccess   An Analytical Model Based on Population Processes to Characterize Data Dissemination in 5G Opportunistic Networks 

      Hernández-Orallo, Enrique; murillo arcila, marina; Cano, Juan Carlos; Calafate, Carlos; Conejero, J. Alberto; Manzoni, Pietro IEEE (2017-12)
      The scarcity of bandwidth due to the explosive growth of mobile devices in 5G makes the offloading messaging workload to Wi-Fi devices that use opportunistic connections, a very promising solution. Communications in mobile ...
    • openAccess   Analytical evaluation of the performance of contact-Based messaging applications 

      Hernández-Orallo, Enrique; murillo arcila, marina; Calafate, Carlos; Cano, Juan Carlos; Conejero, J. Alberto; Manzoni, Pietro Elsevier (2016)
      Communications in mobile opportunistic networks, instead of using the Internet infrastructure, take place upon the establishment of ephemeral contacts among mobile nodes using direct communication. In this paper, we ...
    • openAccess   Chaotic semigroups from second order partial differential equations 

      Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina Elsevier (2017-12)
      We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution Co-semigroup corresponding to a class of second-order partial differential equations. We also provide a critical ...
    • openAccess   Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes 

      Lizama, Carlos; murillo arcila, marina American Institute of Mathematical Sciences (2020)
      In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences ‘p(Z) by using Bl¨unck’s theorem on the equivalence between operator-valued ‘p-multipliers ...
    • openAccess   Distributional chaos for the Forward and Backward Control traffic model 

      Barrachina, Xavier; Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan Elsevier (2015-05-02)
      The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herman–Rothery ...
    • openAccess   Distributionally chaotic families of operators on Fréchet spaces 

      Conejero, J. Alberto; Kostić, Marko; Miana, Pedro J.; murillo arcila, marina American Institute of Mathematical Sciences (2016)
      The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C0-semigroups. In this paper we extend some previous results on both ...
    • openAccess   Dynamics of multivalued linear operators 

      Chen, Chung-Chuan; Conejero, J. Alberto; Kostic, Marko; murillo arcila, marina De Gruyter Open (2017)
      We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. ...
    • openAccess   Dynamics on Binary Relations over Topological Spaces 

      Chen, Chung-Chuan; Conejero, J. Alberto; Kostic, Marko; murillo arcila, marina MDPI (2018)
      The existence of chaos and the quest of dense orbits have been recently considered for dynamical systems given by multivalued linear operators. We consider the notions of topological transitivity, topologically mixing ...
    • openAccess   Frequently hypercyclic translation semigroups 

      Mangino, Elisabetta M.; murillo arcila, marina Instytut Matematyczny PAN (2015)
      Frequent hypercyclicity for translation C0-semigroups on weighted spaces of continuous functions is studied. The results are achieved by establishing an analogy between frequent hypercyclicity for translation semigroups ...
    • openAccess   Highly tempering infinite matrices 

      Bernal González, Luis; Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan Springer Milan (2017-02)
      In this short note, it is proved the existence of in nite matrices that not only preserve convergence and limits of sequences but also convert every mem- ber of some dense vector space consisting, except for zero, of ...
    • openAccess   Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay 

      Abadias, Luciano; Lizama, Carlos; murillo arcila, marina American Institute of Mathematical Sciences (AIMS) (2018-01)
      We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the ...
    • openAccess   Invertibles in topological rings: a new approach 

      Garcia-Pacheco, Francisco; Miralles, Alejandro; murillo arcila, marina Springer (2021-11-15)
      Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we define a new class of semi-normed ...
    • openAccess   Lebesgue regularity for differential difference equations with fractional damping 

      Lizama, Carlos; murillo arcila, marina; Leal, Claudio Wiley (2018)
      We provide necessary and sufficient conditions for the existence and unique-ness of solutions belonging to the vector-valued space of sequences �(Z, X) forequations that can be modeled in the formΔu(n)+Δu(n)=Au(n)+G(u)(n)+ ...
    • openAccess   Lebesgue regularity for nonlocal time-discrete equations with delays 

      Leal, Claudio; Lizama, Carlos; murillo arcila, marina De Gruyter (2018-06-26)
      In this work, we provide a new and effective characterization for the existence and uniqueness of solutions for nonlocal time-discrete equations with delays, in the setting of vector-valued Lebesgue spaces of ...
    • openAccess   Lineability within Probability Theory settings 

      Conejero, J. Alberto; Fenoy, Mar; murillo arcila, marina; Seoane Sepúlveda, Juan Springer (2016)
      The search of lineability consists on nding large vector spaces of mathematical objects with special properties. Such examples have arisen in the last years in a wide range of settings such as in real and complex analysis, ...
    • openAccess   Linear chaos for the Quick-Thinking-Driver model 

      Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan Springer (2016)
      In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google ...
    • openAccess   Linear dynamics of semigroups generated by differential operators 

      Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina; Peris, A. De Gruyter (2017)
      During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the ...
    • openAccess   Maximal lp-regularity for discrete time Volterra equations with delay 

      Lizama, Carlos; murillo arcila, marina Taylor & Francis (2019-07-08)
      In this paper, we investigate the existence and uniqueness of solutions belonging to the vector-valued space ℓp(Z,X) by using Blunck's theorem on the equivalence between operator-valued ℓp-multipliers and the notion of ...
    • openAccess   Maximal regularity in l(p) spaces for discrete time fractional shifted equations 

      Lizama, Carlos; murillo arcila, marina Elsevier (2017-09)
      In this paper, we are presenting a new method based on operator-valued Fourier multipliers to characterize the existence and uniqueness of p -solutions for discrete time fractional models i ...