- [1] Compression Maps Between Polytopes
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José Ayala, David Kirszenblat, J. Hyam Rubinstein
Subjects: Metric Geometry (math.MG)
- [2] Geometric Constraints in Link Isotopy
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José Ayala
Subjects: Geometric Topology (math.GT)
- [3] Profiles of Critical Flat Ribbon Knots
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José Ayala
Subjects: Geometric Topology (math.GT)
- [4] Thin Gordian Unlinks
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José Ayala
Comments: Accepted for publication in Proceedings A of the Royal Society of Edinburgh
Subjects: Geometric Topology (math.GT)
- [5] Gordian Unlinks
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José Ayala, Joel Hass
Subjects: Geometric Topology (math.GT)
- [6] The Radiant Massive Magnetic Dipole
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José Diaz Polanco, José Ayala, Maximiliano Ujevic
Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
- [7] A Gradient Descent Method for The Dubins Traveling Salesman Problem
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David Kirszenblat, José Ayala, J. Hyam Rubinstein
Subjects: Optimization and Control (math.OC); Metric Geometry (math.MG)
- [8] On the Blaschke rolling disk theorem
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José Ayala
Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)
- [9] Census of bounded curvature paths
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Jean Díaz, José Ayala
Journal-ref: Geometriae Dedicata, Vol. 204, 2020
Subjects: Metric Geometry (math.MG)
- [10] Immersed flat ribbon knots
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José Ayala, David Kirszenblat, J. Hyam Rubinstein
Journal-ref: Isr. J. Math. (2025)
Subjects: Geometric Topology (math.GT)
- [11] Non-uniqueness of the homotopy class of bounded curvature paths
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José Ayala, Hyam Rubinstein
Comments: 22 pages, 14 figures
Subjects: Metric Geometry (math.MG); Geometric Topology (math.GT)
- [12] Topological dynamics on finite directed graphs
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José Ayala, Wolfgang Kliemann
Comments: 29 pages
Journal-ref: Topology and its Applications v. 241, 1: 45-362, 2018
Subjects: Dynamical Systems (math.DS)
- [13] The classification of homotopy classes of bounded curvature paths
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José Ayala, J. Hyam Rubinstein
Comments: To appear in the Israel Journal of Mathematics. arXiv admin note: substantial text overlap with arXiv:1403.4930, arXiv:1403.4911
Journal-ref: Israel Journal of Mathematics, Vol. 213, No 1, pp 79-107, 2016
Subjects: Metric Geometry (math.MG)
- [14] Length minimising bounded curvature paths in homotopy classes
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José Ayala
Journal-ref: Topology and its Applications, v.193:140-151, 2015
Subjects: Metric Geometry (math.MG); Geometric Topology (math.GT)
- [15] On the topology of the spaces of curvature constrained plane curves
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José Ayala
Comments: To appear in Advances in Geometry
Journal-ref: Advances in Geometry, Vol 17, No 3, pp.283-292, 2017
Subjects: Geometric Topology (math.GT)
- [16] A geometric approach to shortest bounded curvature paths
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José Ayala, David Kirszenblat, J. Hyam Rubinstein
Comments: 14 pages, 8 figures
Journal-ref: Communications in Analysis and Geometry, Vol. 26, No 4, 2018
Subjects: Metric Geometry (math.MG); Geometric Topology (math.GT)