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Research interests:
- Shape theory, topological dynamics and computational methods.
- Metric Geometry: applicacions to ends theory and to combinatorics.
Main recent publications:
- Martínez-Pérez, Álvaro; Morón, Manuel A. Inverse sequences, rooted trees and their end spaces. Topology Appl. 157, No.16 (2010). 2480-2494
- Luzón, Ana; Morón, Manuel A. Recurrence relations for polynomial sequences via Riordan matrices.
Linear Algebra Appl .433, No. 7 (2010) 1422-1446
- B. Hughes, A. Martínez-Pérez, Mamuel A. Moron. Bounded distortion homeomorphisms on ultrametric spaces. Annales Academiæ Scientiarum Fennicæ Mathematica. Volumen 35 (2010) 473–492
- Martínez-Pérez, Álvaro; Morón, Manuel A. Uniformly continuous maps between ends of R-trees. Math. Z. 263, No. 3 (2009) 583-606.
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A. Luzón and M.A. Morón: Riordan
matrices in the
reciprocation of quadratic polynomials, Linear Algebra and its
Applications 430, No. 8-9 (2009), 2254-2270
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M. Alonso-Morón, E. Cuchillo-Ibánez and A.
Luzón: e-connectedness, finite approximations shape theory and coarse
graining in hyperspaces, Physica D: Nonlinear phenomena 237, nº
23 (2008), 3109- 3122
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A. Martínez Pérez and M.A. Morón: Uniformly continuous maps
between ends of R-trees, Mathematische Zeitschrift (2008)
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E. Cuchillo-Ibáñez, J. Dydak, A. Koyama and M.A.
Morón: C_0 coarse
geometry of complements of Z-sets in the Hilbert cube, Trans.
AMS 360 (2008) nº 10, 5229-5246
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A. Luzón and M.A. Morón: Ultrametrics, Banach’s fixed
point Theorem and the Riordan Group, Discrete Appl. Math 156,
14 (2008) 2620-2635
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