Publications

 

·        On C*-algebras from interval maps, (with C. Correia Ramos and Paulo R. Pinto). Complex Analysis and Operator Theory, to appear in 2011. DOI: 10.1007/s11785-011-0132-7

 

·         Dynamics on certain sets of stochastic matrices, (with C. Correia Ramos and A. Nascimento Baptista). Nonlinear Dynamics, to appear in 2011. DOI: 10.1007/s11071-010-9891-3

 

·         Interval maps from Cuntz-Krieger algebras (with C. Correia Ramos and Paulo R. Pinto). Journal of Mathematical Analysis and Applications 374 (2011), Issue 2, 347-354.

 

·         Quantifying chaos for ecological stoichiometry, (with J. Duarte, C. Januário and J. Sardanyés). Chaos 20 (2010), Issue 3, 033105, 9 pp.

 

·         Difference Equations on Matrix Algebras, (with C. Correia Ramos and A. Nascimento Baptista). Discrete Dynamics and Difference Equations (2010). World Scientific. Proceedings of the 12th International Conference on Difference Equations, Special Functions and Applications.

 

·         Topological entropy and the controlled effect of glucose in the electrical activity of pancreatic β-cells (with J. Duarte and C. Januário). Physica D 238 (2009), 2129-2137.

 

·         Chaos and crises in a model for cooperative hunting: A symbolic dynamics approach (with J. Duarte, C. Januário and J. Sardanyés). Chaos 19 (2009), Issue 4, 043102, 12 pp.

 

·        Reciprocal inhibitory coupling: measure and control of chaos on a biophysically motivated model of bursting (with J. Duarte and C. Januário). Commun. Nonlinear Sci. Numer. Simul. 14 (2009), Issue 6, 2734-2746.

 

·         Discrete potential theory for iterated maps of the interval (with C. Correia Ramos, R. Severino and J. Sousa Ramos). Advanced Studies in Pure Mathematics 53 (2009), 121-128, Advances in Discrete Dynamical Systems. Mathematical Society of Japan, Tokyo.

 

·         Topological invariants in the study of a chaotic food chain system (with J. Duarte and C. Januário). Chaos 18 (2008), Issue 2, 023109, 9 pp. This paper has been selected for the May 1, 2008 issue of Virtual Journal of Biological Physics Research.

 

·         Chaos in Ecology: The Topological Entropy of a Tritrophic Food Chain Model (with J. Duarte and C. Januário). Discrete Dynamics in Nature and Society (2008) Art. ID 541683, 12 pp.

 

·        Orbit representations and circle maps (with C. Correia Ramos and Paulo R. Pinto). Operator Theory: Advances and Applications 181 (2008), 417-427. Birkhäuser Verlag, Basel. Book Series.

 

·        Cuntz-Krieger algebras representations from orbits of interval maps (with C. Correia Ramos, Paulo R. Pinto and J. Sousa Ramos). Journal of Mathematical Analysis and Applications 341 (2008), Issue 2, 825-833.

 

·         Finite dimensional representations of *-algebras arising from a quadratic map (with C. Correia Ramos and J. Sousa Ramos). Chaos Solitons and Fractals 34 (4) (2007), 1202-1212.

 

·         Orbit equivalence and von Neumann algebras for expansive interval maps (with C. Correia Ramos, Paulo R. Pinto and J. Sousa Ramos). Chaos Solitons and Fractals 33 (1) (2007), 109-117.

 

·         Critical groups for iterated maps (with C. Correia Ramos, R. Severino and J. Sousa Ramos). Difference Equations, Special Functions and Orthogonal Polynomials (2007) 610-616. World Scientific. Proceedings of the 10th International Conference on Difference Equations, Special Functions and Applications.

 

·         Fock representations for a quadratic commutation relation (with C. Correia Ramos and J. Sousa Ramos). Difference Equations, Special Functions and Orthogonal Polynomials (2007) 537-546. World Scientific. Proceedings of the 10th International Conference on Difference Equations, Special Functions and Applications.

 

·         Self-organized criticality in economy (with C. Correia Ramos, R. Severino and J. Sousa Ramos). Proceedings of the Workshop: Perspectives on Econophysics, Universidade de Évora (2006), 75-86.

 

·         Orbit equivalence and von Neumann algebras for piecewise linear unimodal maps (with C. Correia Ramos, Paulo R. Pinto and J. Sousa Ramos). Grazer Mathematische Berichte 350 (2006), 45-54.

 

·         Conductance and noncommutative dynamical systems (with C. Correia Ramos and J. Sousa Ramos). Nonlinear Dynamics 44 (2006), 127-134.

 

·         Bowen-Franks groups of reducible bimodal subshifts of finite type (with R. Severino and J. Sousa Ramos). Linear Algebra and its Applications 414 (1) (2006), 125-137.

 

·         Noncommutative topological dynamics (with C. Correia Ramos, R. Severino and J. Sousa Ramos). Chaos Solitons and Fractals 27 (1) (2006), 15-23.

 

·         Bowen-Franks groups associated with iterated maps on the interval (with R. Severino and J. Sousa Ramos). Grazer Mathematische Berichte 346 (2004), 271-282.

 

·         Noncommutative dimension associated with limit sets of Fuchsian groups (with C. Correia Ramos and J. Sousa Ramos). Grazer Mathematische Berichte 346 (2004), 81-90.

 

·         Bowen-Franks groups associated with linear mod one transformations (with J. Sousa Ramos). International Journal of Bifurcation and Chaos 13 (2003), 1997-2004.

 

·         Isentropic real cubic maps (with R. Severino and J. Sousa Ramos). International Journal of Bifurcation and Chaos 13 (2003), 1701-1709.

 

·         Bowen-Franks groups for bimodal matrices (with R. Severino and J. Sousa Ramos). Journal of Difference Equations and Applications 9 (2003), 423-433.

 

·         K-theory for Cuntz-Krieger algebras arising from real quadratic maps (with R. Severino and J. Sousa Ramos). International Journal of Mathematics and Mathematical Sciences 34 (2003), 2139-2146.

 

·         Cuntz-Krieger algebras arising from linear mod one transformations (with J. Sousa Ramos). Fields Institute Communications 31, (2002), 265-273.