Publications

E. Miranda, R. Cardona and D. Peralta-Salas, Towards a Fluid Computer, Found Comput Math (2025). https://doi.org/10.1007/s10208-025-09699-6

A. González-Prieto, E Miranda and D. Peralta-Salas, Universality in computable dynamical systems:Old and new, Journal of Physics: Complexity (2025).

P. Berger, A. Florio, D. Peralta-Salas.  Steady Euler flows on R3 with wild and universal dynamics. Communications in Mathematical Physics, 401 (2023), 937–983.

R. Cardona, E. Miranda, D. Peralta-Salas. Computability and Beltrami fields in Euclidean space. Journal de Mathématiques Pures et Appliquées (9) 169 (2023), 50–81. 

B. Coquinot, P. Mir, E. Miranda, Singular cotangent models and complexity in fluids with dissipation, Preprint (2022), Phys. D 446 (2023), Paper No. 133655.

A. Enciso, D. Peralta-Salas, F. Torres de Lizaur. Quasi-periodic solutions to the incompressible Euler equations in dimensions two and higher. J. Differential Equations 354 (2023), 170–182. 35

R. Cardona, E. Miranda, D. Peralta-Salas, F. Presas. Universality of Euler flows and flexibility of Reeb embeddings. Advances in Mathematics, 428 (2023), 109142. 

D. Peralta-Salas, R. Slobodeanu. A Liouville-type theorem for the 3D primitive equations. To appear in Physica D.

Fontana-McNally Josep, Miranda Eva and Peralta-Salas Daniel 2024 An equivariant Reeb–Beltrami correspondence and the Kepler–Euler flow Proc. R. Soc. A.4802023049920230499, 

J. Fontana-McNally, E. Miranda, C. Oms and D. Peralta-Salas, From 2N to infinitely many escape orbits Regular and Chaotic Dynamics, Volume 28, pages 498-511 (2023)

S. Dyhr, A. González-Prieto, E Miranda and D. Peralta-Salas, Cosymplectic Chern-Hamilton conjecture,  [arXiv: 2505.10379]

A. González-Prieto, E Miranda and D. Peralta-Salas, Topological Kleene Field Theories: A new model of computation, [arXiv: 2503.16100]

S. Dyhr, A. González-Prieto, E Miranda and D. Peralta-Salas, Turing complete Navier-Stokes steady states via cosymplectic geometry ,  [arXiv:2507.07696]

R. Bruera, R.Cardona, E. Miranda, D. Peralta-Salas, Topological entropy of Turing complete dynamics (with an appendix by Ville Salo), arXiv:2404.07288 

E. Miranda, A. Planas. Action-angle coordinates and KAM theory for singular symplectic manifolds, Preprint (2022) arXiv:2301.00266.

R. Cardona. Hydrodynamic and symbolic models of hypercomputation, Preprint (2023) arxiv:2301.11820.

R. Cardona. Stability is not open or generic in symplectic four-manifolds. arXiv:2305.13158.

Josep Fontana-McNally, Eva Miranda, Daniel Peralta-Salas. An equivariant Reeb-Beltrami correspondence and the Kepler-Euler flow. Preprint (2023) arXiv:2306.09898.

R. Cardona, F. Torres de Lizaur. Contact type solutions and non-mixing of the 3D Euler equations. Preprint (2023) arXiv:2312.03514.

R. Cardona, N. Duignan, D. Perrella. Asymmetry of MHD equilibria for generic adapted metrics. Preprint (2023) arXiv:2312.14368.