The Ising model and random fields of scales.
Submitted.
Areas: Thermodynamic formalism, mathematics and music.
This paper comes with a computer program: Scaletor and a video tutorial.

A unified treatment of families of partition functions.
With Lida Ahmadi and Mark Daniel Ward.
La Matematica (published online since September 5, 2024).
DOI: 10.1007/s44007-024-00134-w
Areas: Analytic combinatorics.

Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited.
With Sebastián Barbieri, Brian Marcus, Tom Meyerovitch and Siamak Taati.
Communications in Mathematical Physics 382, 1111-1164 (2022).
Areas: Symbolic dynamics, thermodynamic formalism.

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.

Networks of symbolic dynamical scales.
Proceedings of the Worldwide Music Conference, Current Research in Systematic Musicology (2021) DOI: 10.1007/978-3-030-74039-9_10
Areas: Symbolic dynamics, mathematics and music.

Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups.
With Sebastián Barbieri, Brian Marcus and Siamak Taati.
Nonlinearity 33 (2020) no. 5, 2409-2454.
DOI: 10.1088/1361-6544/ab6a75
Areas: Symbolic dynamics, thermodynamic formalism.

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.

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.

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.

Estructuras de ARN y disecciones de polígonos. Una invitación a la combinatoria analítica.
Miscelanea Matemática, 60 (2015) 105-130.
Areas: Analytic combinatorics, mathematical biology.

Borel isomorphism of SPR Markov shift.
With Mike Boyle and Jérôme Buzzi.
Colloquium Mathematicum 137 (2014) 127-136.
Areas: Symbolic dynamics.

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.

Analysis of a delayed epidemic model of diseases through droplet infection and direct contact with pulse vaccination.
With Guruprasad Samanta (under TWAS-UNESCO associateship schema).
International Journal of Dynamics and Control (2014) DOI: 10.1007/s40435-014-0134-1
Areas: Population dynamics.

Cubic time recognition of cocircuit graphs of uniform oriented matroids.
With Stefan Felsner, Kolja Knauer, Juan José Montellano and Ricardo Strausz.
European Journal of Combinatorics. 32 (2011) 60-66.
Areas: Combinatorics.

Mean recurrence times of Markov chains and spanning tree invariants.
Linear Algebra and its Applications 433 (2010) 1714-1718.
Areas: Symbolic dynamics, linear algebra.

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.

Girth, minimum degree and transversals of longest paths.
With Hortensia Galeana Sánchez and Juan José Montellano.
AKCE International Jorunal of Graphs and Combinatorics 7, No. 1, (2010) 61-72.
Areas: Combinatorics.

Monochromatic paths on edge colored digraphs and state splittings.
With Hortensia Galeana Sánchez.
Advances and Applications in Discrete Mathematics 1 Vol. 4 (2009) 33-51.
Areas: Symbolic dynamics, combinatorics.

Independent transversals of longest paths in locally semicomplete and locally transitive digraphs.
With Hortensia Galeana Sánchez and Juan José Montellano.
Discussiones Mathematicae Graph Theory. 29 (2009) 469-480.
Areas: Combinatorics.

Chapter: Ecuaciones y desigualdades. In "Algebra Elemental".
With Irma Beatriz Rumbos Pellicer et. al.
Trillas, 2009.
Areas: Elementary algebra.

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.

Independent sets and non-augmentable paths in generalizations of tournaments.
With Hortensia Galeana Sánchez.
Discrete Mathematics. 308 (12), (2008) 2460-2472.
Areas: Combinatorics.

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.

(k, l)-kernels, (k, l)-semikernels, k-Grundy functions and duality for state splittings.
With Hortensia Galeana Sánchez.
Discussiones Mathematicae Graph Theory 27 Vol. 2 (2007) 359-371.
Areas: Symbolic dynamics, combinatorics.

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.

Almost isomorphism for countable state Markov shifts.
With Mike Boyle and Jérôme Buzzi.
Journal für die reine und angewandte Mathematik (Crelle's Journal). 592 (2006) 23-47.
Areas: Symbolic dynamics.

Positive K-theory for finitary isomorphisms of Markov chains.
Ergod. Th. and Dynam. Sys. 23 (2003) 1485-1504.
Areas: Symbolic dynamics, ergodic theory.