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Ricardo Gómez Aíza

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Research interests

Symbolic dynamics and ergodic theory, thermodynamic formalism, probability, analytic and algebraic combinatorics, cellular automata, mathematical biology, mathematics and music.




Publications and preprints

  1. Submitted.
    Areas: Analytic combinatorics.
  2. A unified treatment of families of partition functions.
    With Lida Ahmadi and Mark Daniel Ward.
    Submitted.
    Areas: Analytic combinatorics.
  3. Symbolic dynamical scales: modes, orbitals, and transversals.
    Journal of Mathematics and Music (published online since August 2021)
    DOI: 10.1080/17459737.2021.1953169
    Areas: Symbolic dynamics, analytic combinatorics, mathematics and music.
  4. Symbolic structures in music theory and composition, binary keyboards, and the Thue-Morse shift.
    With Luis Nasser.
    Journal of Mathematics and Music
    , (published online since 2020)
    DOI: 10.1080/17459737.2020.1732490
    Areas: Symbolic dynamics, mathematics and music.
  5. Analysis of a mathematical model of periodically pulsed chemotherapy treatment.
    With Guruprasad Samanta (under TWAS-UNESCO associateship schema) and Swarnali Sharma.
    International Journal of Dynamics and Control (2017) DOI 10.1007/s40435-015-0204-z.
    Areas: Population dynamics.
  6. Stochastic forms of non-negative matrices and Perron-regularity.
    Electronic Journal of Linear Algebra 31 (2016) 515-540
    DOI: 10.13001/1081-3810.3344
    Areas: Symbolic dynamics, linear algebra.
  7. Estructuras de ARN y disecciones de polígonos. Una invitación a la combinatoria analítica.
    Miscelanea Matemática, 60 (2015) 105-130.
    Areas: Analytic combinatorics, mathematical biology.
  8. Borel isomorphism of SPR Markov shift.
    With Mike Boyle and Jérôme Buzzi.
    Colloquium Mathematicum 137 (2014) 127-136.
    Areas: Symbolic dynamics.
  9. Modelos dinámicos de poblaciones simples y de sistemas depredador-presa.
    With Guruprasad Samanta (under TWAS-UNESCO associateship schema).
    Miscelanea Matemática. 58 (2014) 77-110.
    Areas: Population dynamics.
  10. Spanning tree invariants, loop systems and doubly stochastic matrices.
    With José Miguel Salazar Montiel.
    Linear Algebra and its Applications 432 (2010) 556-565.
    Areas: Symbolic dynamics, linear algebra.
  11. Chapter: Ecuaciones y desigualdades. In "Algebra Elemental".
    With Irma Beatriz Rumbos Pellicer et. al.
    Trillas, 2009.
    Areas: Elementary algebra.
  12. Polynomial time recognition of uniform cocircuit graphs.
    With Kolja Knauer, Juan José Montellano Ballesteros and Ricardo Strausz Santiago.
    LAGOS'09, Electron. Notes Discrete Math. 35, Elsevier Sci B. V. Amsterdam (2009) 29-34.
    Areas: Combinatorics.
  13. A family of heat functions as solutions of indeterminate moment problems.
    Con Francisco Marcos López García.
    International Journal of Mathematics and Mathematical Sciences. Vol. 2007, Art. ID 41526, 11 pp.
    Areas: Probability.
  14. Good potentials for almost isomorphism of countable state Markov shifts.
    With Mike Boyle and Jérôme Buzzi.
    Stochastics and Dynamics. 7 Vol. 1 (2007) 1-15.
    Areas: Symbolic dynamics, thermodynamic formalism.
  15. Positive K-theory for finitary isomorphisms of Markov chains.
    Ergod. Th. and Dynam. Sys. 23 (2003) 1485-1504.
    Areas: Symbolic dynamics, ergodic theory.