Yuri Lima
Universidade Federal do Ceará
Departamento de Matemática
Av. Humberto Monte, s/n
Campus do Pici - Bloco 914
CEP: 60.440-900
Fortaleza - CE - Brasil


Jangada Dinâmica: boosting dynamical systems in Brazil's Northeast region.


Upcoming conferences.

2nd Jangada DinĂ¢mica: UFC, postponed due to Covid-19.

3rd Workshop on Combinatorics, Number Theory and Dynamical Systems: UFC, postponed due to Covid-19.


Research interests.

Dynamical Systems, Ergodic Theory, Probability, and Combinatorics.

Publications and preprints.

TITLE WITH ABS PDF
17. Symbolic dynamics for nonuniformly hyperbolic maps with singularities in high dimension
93 pages.
Ermerson Araujo and Mauricio Poletti
16. Symbolic dynamics for nonuniformly hyperbolic systems
Survey paper, 66 pages, to appear in Ergodic Theory Dynam. Systems.
15. Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
Ergodic Theory Dynam. Systems 40 (2020), no. 11, 2947-2969.
Lucas Backes, Mauricio Poletti and Paulo Varandas
14. Symbolic dynamics for one dimensional maps with nonuniform expansion
Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), no. 3, 727-755.
13. Symbolic dynamics for three dimensional flows with positive topological entropy
J. Eur. Math. Soc. 21 (2019), no. 1, 199-256.
Omri Sarig
12. Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities
Ann. Sci. Éc. Norm. Supér. 51 (2018), no. 1, 1-38.
Carlos Matheus
11. Ergodic properties of skew products in infinite measure
Israel J. Math. 214 (2016), no. 1, 43-66
Patricia Cirilo and Enrique Pujals
10. Ergodic properties of equilibrium measures for smooth three dimensional flows
Comment. Math. Helv. 91 (2016), no. 1, 65-106.
François Ledrappier and Omri Sarig
9. Graph-based Pólya's urn: completion of the linear case
12 pages, Stoch. Dyn. 16 (2016), no. 2, 13 pp.
8. A generalized Pólya's urn with graph based interactions
Random Structures Algorithms 46 (2015), no. 4, 614-634.
Michel Benaïm, Itai Benjamini and Jun Chen
7. Annihilation and coalescence on binary trees
Stoch. Dyn. 14 (2014), no. 3, 11pp.
Itai Benjamini
6. An Abramov formula for stationary spaces of discrete groups
Ergodic Theory Dynam. Systems 34 (2014), no. 3, 837-853.
Yair Hartman and Omer Tamuz
5. Law of large numbers for certain cylinder flows
Ergodic Theory Dynam. Systems 34 (2014), no. 3, 801-825.
Patricia Cirilo and Enrique Pujals
4. A Marstrand theorem for subsets of integers
Combin. Probab. Comput. 23 (2014), no. 1, 116-134.
Carlos Gustavo Moreira
3. Zd-actions with prescribed topological and ergodic properties
Ergodic Theory Dynam. Systems 32 (2012), no. 1, 191-209.
 
2. Yet another proof of Marstrand's theorem
Bull. Braz. Math. Soc. 42 (2011), no. 2, 331-345.
Carlos Gustavo Moreira
1. A combinatorial proof of Marstrand's theorem for products of regular Cantor sets
Expo. Math. 29 (2011), no. 2, 231-239.
Carlos Gustavo Moreira


Other.

Lectures on Ratner's Theory.
Ph.D. Thesis.
Szemerédi's regularity lemma.

Teaching.

Fall 2013: STAT 410: Introduction to Probability Theory.
Spring 2014: MATH 401: Applications of Linear Algebra.
Spring 2015: STAT 410: Introduction to Probability Theory.


Links.

Statistical aspects of geodesic flows in nonpositive curvature.
Summer School on Dynamical Systems.
2nd Workshop on Combinatorics, Number Theory and Dynamical Systems.
Workshop on Combinatorics, Number Theory and Dynamical Systems.
Disquisitiones Mathematicae: Carlos Matheus' mathblog.
Some friends: Samuel Barbosa, Itai Benjamini, Emanuel Carneiro, Carlos Matheus, Davi Maximo, Carlos Gustavo Moreira, Enrique Pujals, Omri Sarig.


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