[1] arXiv:2503.16100 [pdf, ps, other]
Topological Kleene Field Theories as a model of computation
Ángel González-Prieto, Eva Miranda, Daniel Peralta-Salas
Comments: 26 pages, 12 figures
Subjects: Dynamical Systems (math.DS); Formal Languages and Automata Theory (cs.FL); Category Theory (math.CT); Differential Geometry (math.DG)
[2] arXiv:2507.10725 [pdf, ps, other]
Universality in computable dynamical systems: Old and new
Ángel González-Prieto, Eva Miranda, Daniel Peralta-Salas
Comments: 31 pages, 5 figures
Journal-ref: Journal of Physics: Complexity (2025)
Subjects: Dynamical Systems (math.DS); Formal Languages and Automata Theory (cs.FL); Differential Geometry (math.DG)
[3] arXiv:2507.07696 [pdf, ps, other]
Turing complete Navier-Stokes steady states via cosymplectic geometry
Søren Dyhr, Ángel González-Prieto, Eva Miranda, Daniel Peralta-Salas
Comments: 11 pages, no figures
Subjects: Differential Geometry (math.DG); Computational Complexity (cs.CC); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Symplectic Geometry (math.SG)
[4] arXiv:2505.10379 [pdf, ps, other]
Cosymplectic Chern--Hamilton conjecture
Søren Dyhr, Ángel González-Prieto, Eva Miranda, Daniel Peralta-Salas
Comments: 27 pages, 1 table. Comments are welcome!
Subjects: Differential Geometry (math.DG); Dynamical Systems (math.DS); Symplectic Geometry (math.SG)
[5] arXiv:2412.08415 [pdf, other]
The two-boost problem and Lagrangian Rabinowitz Floer homology
Kai Cieliebak, Urs Frauenfelder, Eva Miranda, Jagna Wiśniewska
Subjects: Symplectic Geometry (math.SG)
[6] arXiv:2502.18602 [pdf, other]
Which singular tangent bundles are isomorphic?
Comments: 31 pages, 7 figures
Subjects: Differential Geometry (math.DG)
[7] arXiv:2410.11641 [pdf, other]
E-structures and almost regular Poisson manifolds
Alfonso Garmendia, Eva Miranda
Comments: 26 pages
Subjects: Symplectic Geometry (math.SG)
R. Cardona, E. Miranda and D. Peralta-Salas,
Towards a Fluid Computer.
To appear in Journal Foundations of Computational Mathematics (FoCM). [arXiv: 2405.20999]
J. Fontana-McNally, E. Miranda, C. Oms, and D. Peralta-Salas,
A counterexample to the singular Weinstein conjecture.
Advances in Mathematics, 2024, Volume 458, Part B, December 2024, 109998.
Curve singularities with one Puiseux pair and value sets of modules over
their local rings
M. Alberich-Carramiñana, P. Almirón, J. J. Moyano-Fernández
Journal of Algebraic Combinatorics 61 (2025), 20 pp.
A practical aerodynamic model for dynamic textile manipulation in robotics
F. Coltraro, J. Amorós, C. Torras, M. Alberich-Carramiñana
Mechanism and Machine Theory 209 (2025), Paper No. 105993, 18 pp.
Okutsu frames of irreducible polynomials over henselian fields
M. Alberich-Carramiñana, J. Guàrdia, E. Nart, J. Roé
Journal of Algebra and its Applications to appear (2026).
Topological reconstruction of sampled surfaces via Morse theory
F. Coltraro, J. Amorós, M. Alberich-Carramiñana, C. Torras
Journal of Computational and Applied Mathematics 473 (2026), Paper No. 116872, 23 pp.
Marta Casanellas, Jennifer Garbett, Roser Homs, Annachiara Korchmaros, Niharika Chakrabarty Paul. Computing phylogenetic invariants for time-reversible models: from TN93 to its submodels, arXiv:2505.20526
M. Cortada Garcia, A. Diéguez Moscardó, M. Casanellas, Generating Heterogeneous Data on Gene Trees, J. Computational Biology (2025), pdf Software: GenPyhlo
L. Sierra, M. Casanellas, P. Zwiernik, Tensors in algebraic statistics, arxiv.org/abs/2411.14080
M. Casanellas, J. Fernández-Sánchez, Phylogenetic invariants: straightforward from the general Markov to equivariant models, SIAM Journal on Applied Algebra and Geometry (2025), vol. 4
Bernstein-Sato polynomials and related invariants for meromorphic functions
J. Àlvarez Montaner, M. González Villa, E. León-Cardenal, L.Núñez-Betancourt
Transactions of the American Mathematical Society 378 (2025), 4929-4954
Multiplier ideals of meromorphic functions
M. Alberich-Carramiñana, J. Àlvarez Montaner, R. Gómez-López
To appear in Contemporary Mathematics (2025)
Proceedings of the Conference on Algebraic and Topological Interplay of Algebraic Varieties
Limit distribution of Hodge spectral exponents of plane curve singularities
M. Alberich-Carramiñana, J. Àlvarez Montaner, R. Gómez-López
arXiv:2405.04504
Morse resolutions of monomial ideals and Betti splittings
J. Àlvarez Montaner, M. L. Aparicio García, A. Mafi
arXiv:2502.02122
-I. Ramos (2025), “Computation through smooth dynamics: simulating TKFT’s”, Wolfram Community https://community.wolfram.com/groups/-/m/t/2959123
-I. Ramos (2025), “Turing completeness through smooth dynamics: expanding simulations of TKFT’s”, Wolfram Community https://community.wolfram.com/groups/-/m/t/3570717
P. Gimenez, F. Planas-Vilanova
Sifted degrees of the equations of the Rees module and their connection with the Artin-Rees numbers
Commutative Algebra. The Mathematical Legacy of Wolmer V. Vasconcelos. De Gruyter (2025), 333-352.
Pedro A. García-Sánchez, Laura González, F. Planas-Vilanova
Grant PID2023-146936NB-I00 funded by MICIU/AEI/10.13039/501100011033/ FEDER, UE