Prof. Viorel Nitica

Department of Mathematics

West Chester University, USA

Professor for Mathematics

Email: vnitica@wcupa.edu

Qualifications

1995 Ph.D., Pennsylvania State University, USA, Mathematics

1986 M.S., University of Bucharest, Romania, Mathematics

Publications (Selected)

1. Tiling a de_cient board by P-pentominoes, (with C. Nitica), Geombinatorics XVIII (2009) 175-184.
2. Tiling a de_cient rectangle by P-pentominoes, (with C. Nitica), Geombinatorics XIX (2009) 18-27.
3. The structure of max-min hyperplanes, Linear Algebra and its Applications, 432 (2010) 402-429.
4. On semispaces and hyperplanes in max-min convex geometry, (with S. Sergeev), Kybernetika 46 (2010) 548-557.
5. An interval version of separation by semispaces in max-min convexity, (with S. Sergeev), Lin Alg Appl 435(2011) 1637-1648.
6. Stably transitivity for extensions of hyperbolic systems by semidirect products of compact and nilpotent Lie groups, Discrete and Continuous Dynamical Systems 29(3) (2011) 1197-1203.
7. Best approximation in max-plus semimodules, (with M. Akian, S. Gaubert, I. Singer), Lin Alg Appl 435 (2011) 3261-3296.
8. Transitivity of Heisenberg group extensions of hyperbolic systems, (with I. Melbourne, A. Torok), Ergodic Theory and Dynamical Systems 32(1) (2012) 223-235.
9. Topical functions on semimodules and generalizations, (with I. Singer), Lin Alg Appl 437 (2012) 2471-2488.
10. A coloring invariant for ribbon L-tetrominoes, (with M. Chao, D. Levenstein, R. Sharp), Discrete Mathematics 313 (2013) 611-621.
11. Characterization of tropical hemispaces by (P;R)-decompositions, (with R. D. Katz and S. Sergeev), Lin Alg Appl 440 (2014) 131-163.
12. Extended-valued topical and anti-topical functions on semimodules, (with I. Singer), Lin Alg Appl 446 (2014) 25-70.
13. Stable transitivity of Heisenberg group extensions of hyperbolic systems, (with A. Torok), Nonlinearity 27 (2014) 661-683.
14. A metric on max-min algebra, (with J. Eskeldson, M. Ja_e), In Tropical and Idempotent Mathematics and Applications, vol. 616, pages 101-114, Contemporary Mathematics AMS, Providence, 2014.
15. Tropical convexity over max-min semiring, (with S. Sergeev), In Tropical and Idempotent Mathematics and Applications, vol. 616, pages 241-260, Contemporary Mathematics AMS, Providence, 2014.
16. The semigroup problem for central semidirect product of Rn with Rm, (with K. Lui, S. Venkatesh), Topology Proceedings 45 (2015) 9-29.
17. The tropical dimension of max-min convex sets, (with S. Sergeev), Fuzzy Sets and Systems 271 (2015) 88-101.
18. Open and dense topological transitivity of extensions by non-compact _ber of hyperbolic systems: a review, (with A. Torok) Axioms 4 (2015) 84-101.
19. Every tiling of the first quadrant by ribbon L n-ominoes follows the rectangular pattern, Open Journal of Discrete Mathematics 5 (2015) 11-25.
20. The geometric structure of max-plus hemispaces, (with D. Ehrmann, Z. Higgins) Linear Algebra and its Applications 489 (2016) 144-166.