# Maria Correia

She/Her/Hers

Senior Lecturer

Location

LGRT 1635B

Office Hours:

TuThu 4:00-5:00 PM, Thu 1:00 - 2:00 PM in LGRT 1635B, or by appointment. CTC hour Tues 1:00-2:00 PM in LGRT 140

Alternate Email:

correia@umass.edu

Office Hours:

TuThu 4:00-5:00 PM, Thu 1:00 - 2:00 PM in LGRT 1635B, or by appointment. CTC hour Tues 1:00-2:00 PM in LGRT 140

Alternate Email:

correia@umass.edu

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Education

Ph. D. in Mathematics, University of Evora, 2012

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RESEARCH INTERESTS

Dynamical systems, billiard systems, ergodic theory

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Selected Publications

**M. F. Correia**, C. Cox and H. K. Zhang,*Ergodicity in umbrella billiards*, New Horizons in Mathematical Physics 1, 2, 56-67 (2017).**M. F. Correia**and H. K. Zhang,*Stability and ergodicity of moon billiards*, Chaos 25, 083110 (2015).**M. F. Correia**, C. C. Ramos and S. Vinagre,*Nonlinearly perturbed heat equation: a symbolic approach*, Int. J. of Pure and Applied Math. 92, 2, 279-296 (2014).**M. F. Correia**, C. C. Ramos and S. Vinagre,*Invariants for the topological characterization of the iteration of differentiable functions – the bimodal case*, The European Physical Journal Special Topics, Springer, Berlin/ Heidelberg 222, 2, 285-301 (2013).**M. F. Correia**, C. C. Ramos and S. Vinagre,*Evolution and distribution of the periodic critical values of iterated differentiable functions*, Nonlinear Analysis Series A: Theory, Methods & Applications} 75, 6343-6359 (2012).**M. F. Correia**, C. C. Ramos and S. Vinagre,*Iteration of differentiable functions under m-modal maps with aperiodic kneading sequences*, International Journal of Mathematics and Mathematical Sciences 2012, 1-17 (2012).**M. F. Correia**, C. C. Ramos and S. Vinagre,*Substitution systems associated with the dynamical system*, European Series in Applied and Industrial Mathematics: proceedings 36, 159-169 (2012).**M. F. Correia**, C. C. Ramos and S. Vinagre,*Iteration of differentiable functions under m-modal maps*, Int. J. of Pure and Applied Math. 70, 2, 151-166 (2011).**M. F. Correia**, C. C. Ramos and S. Vinagre,*On the iteration of smooth maps*, Discrete Dynamics and Difference Equations- Proceedings of the Twelfth International Conference on Difference Equations and Applications, World Scientific Publishing, 223-230 (2010).**M. F. Correia**, C. C. Ramos and S. Vinagre,*Symbolic dynamics for iterated smooth functions*, Grazer Math. Berichte 354, 26-36 (2009).