Publications

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.

B. Bode, D. Peralta-Salas, The topology of stable electromagnetic structures and Legendrian fields on the 3-sphere, Int. Math. Res. Notices (2025) 1–24.

R. Cardona, Hydrodynamic and symbolic models of computation with advice, Rev. Mat. Iberoam. 41 (2025) 313–338.

R. Cardona, N. Duignan, D. Perrella, Asymmetry of MHD equilibria for generic adapted metrics,  Arch. Rat. Mech. Anal. 249 (2025).

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. 

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

K. Cieliebak, U. Frauenfelder, E. Miranda, J. Wiśniewska, The two-boost problem and Lagrangian Rabinowitz Floer homology, Ergodic Theory Dynam. Systems (2026), online.

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

S. Dyhr, Á. González-Prieto, E. Miranda, D. Peralta-Salas, Turing complete Navier–Stokes steady states via cosymplectic geometry, PNAS Nexus 5 (2026), pgaf130.

S. Dyhr, Á. González-Prieto, E. Miranda, D. Peralta-Salas, The cosymplectic Chern–Hamilton conjecture,  J. London Math. Soc. 113 (2026) e70453.

A. Enciso, W. Gerner, D. Peralta-Salas, Optimal metrics for the first curl eigenvalue on 3-manifolds, Calc. Var. PDE 64 (2025) 146.

A. Enciso, W. Kepplinger, D. Peralta-Salas, Isolated steady solutions of the 3D Euler equations, Proc. Natl. Acad. Sci. 122 (2025) e2414730122.

A. Enciso, J. Peñafiel, D. Peralta-Salas, An extension theorem for weak solutions of the 3D incompressible Euler equations and applications to singular flows, Forum Math. Pi 13 (2025) 1–84.

A. Enciso, D. Peralta-Salas, Obstructions to topological relaxation for generic magnetic fields, Arch. Rat. Mech. Anal. 249 (2025) 6.

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

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).

Á. González-Prieto. Quantization of algebraic invariants through Topological Quantum Field Theories. Journal of Geometry and Physics (2023), 189, 104849.

Á. González-Prieto, M. Hablicsek, J. Vogel, Virtual classes of character stacks, J. Geom. Phys., 211, 105450 (2025).

Á. González-Prieto, M. Hablicsek, J. Vogel, Arithmetic-geometric correspondence of character stacks via topological quantum field theory, Adv. Theor. Math. Phys., to appear (2026).

Á. González-Prieto, M. Logares, J. Martínez, V. Muñoz, Stratification of SU (r)-character varieties of twisted Hopf links, In: Moduli spaces and vector bundles: new trends, Contemporary Mathematics of the AMS, Volume 803, (2024).

Á. González-Prieto, E. Miranda, D. Peralta-Salas, Universality in computable dynamical systems: old and new,  J. Phys. Complex. 6 (2025) 035014.

E. Miranda, R. Cardona and D. Peralta-Salas, Towards a Fluid Computer, Found Comput Math (2025).

Y. Mitsumatsu, D. Peralta-Salas, R. Slobodeanu, On the existence of critical compatible metrics on contact 3-manifolds, Bull. London Math. Soc. 57 (2025) 79–95.

D. Peralta-Salas, D. Perrella, D. Pfefferlé,  Asymmetry of curl eigenfields solving Woltjer’s variational problem, Comm. Math. Phys., accepted (2026).

D. Peralta-Salas, R. Slobodeanu, A Liouville-type theorem for the 3D primitive equations, Phys. D 453 (2023) 133821.

E. Miranda, I. Ramos, Classical billiards can compute, [arXiv:2512.19156].

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

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

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