Constructing Turing complete Euler flows in dimension 3 R Cardona, E Miranda, D Peralta-Salas, F Presas Proceedings of the National Academy of Sciences 118 (19), e2026818118, 2021 | 55 | 2021 |
Universality of Euler flows and flexibility of Reeb embeddings R Cardona, E Miranda, D Peralta-Salas, F Presas Advances in Mathematics 428 (109142), 1-40, 2023 | 38 | 2023 |
Euler flows and singular geometric structures R Cardona, E Miranda, D Peralta-Salas Philosophical Transactions of the Royal Society A 377 (2158), 20190034, 2019 | 27 | 2019 |
Turing universality of the incompressible Euler equations and a conjecture of Moore R Cardona, E Miranda, D Peralta-Salas International Mathematics Research Notices 2022 (22), 18092-18109, 2022 | 22 | 2022 |
Integrable systems and closed one forms R Cardona, E Miranda Journal of Geometry and Physics 131, 204-209, 2018 | 14 | 2018 |
Computability and Beltrami fields in Euclidean space R Cardona, E Miranda, D Peralta-Salas Journal de Mathématiques Pures et Appliquées 169, 50-81, 2023 | 13 | 2023 |
On the volume elements of a manifold with transverse zeroes R Cardona, E Miranda Regular and Chaotic Dynamics 24, 187-197, 2019 | 12 | 2019 |
Steady Euler flows and Beltrami fields in high dimensions R Cardona Ergodic Theory and Dynamical Systems 41 (12), 3610-3633, 2020 | 11 | 2020 |
Integrable systems on singular symplectic manifolds: From local to global R Cardona, E Miranda International Mathematics Research Notices 2022 (24), 19565–19616, 2022 | 9 | 2022 |
The topology of Bott integrable fluids R Cardona Discrete and Continuous Dynamical Systems 42 (9), 4321-4345, 2022 | 7 | 2022 |
Periodic orbits and Birkhoff sections of stable Hamiltonian structures R Cardona, A Rechtman arXiv preprint arXiv:2206.14732, 2022 | 5 | 2022 |
Looking at Euler flows through a contact mirror: Universality and undecidability R Cardona, E Miranda, D Peralta-Salas Proceedings of the 8 European Congress of Mathematics (Portoroz, Slovenia …, 2021 | 5 | 2021 |
An h-principle for embeddings transverse to a contact structure R Cardona, F Presas Journal of Topology 17 (1), 2024 | 4 | 2024 |
Asymmetry of MHD equilibria for generic adapted metrics R Cardona, N Duignan, D Perrella Archive for Rational Mechanics and Analysis 249 (1), 2025 | 3 | 2025 |
Stability is not open or generic in symplectic four-manifolds R Cardona arXiv preprint arXiv:2305.13158, 2023 | 3 | 2023 |
Existence and classification of -contact structures R Cardona, C Oms arXiv preprint arXiv:2207.12055, 2022 | 3 | 2022 |
Reeb embeddings and universality of Euler flows R Cardona, E Miranda, D Peralta-Salas, F Presas Extended Abstracts GEOMVAP 2019: Geometry, Topology, Algebra, and …, 2021 | 3 | 2021 |
Topological entropy of Turing complete dynamics R Bruera, R Cardona, E Miranda, D Peralta-Salas arXiv preprint arXiv:2404.07288, 2024 | 2 | 2024 |
The geometry and topology of steady Euler flows, integrability and singular geometric structures R Cardona Universitat Politècnica de Catalunya, 2021 | 2* | 2021 |
Hydrodynamic and symbolic models of computation with advice R Cardona Revista Matemática Iberoamericana, 2024 | 1* | 2024 |