Papers
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Paper | Authors | Journal | Pages | Volume | URL |
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Voevodsky's Univalence Axiom in homotopy type theory | Steve Awodey, Álvaro Pelayo, Michael A. Warren | Notices of the American Mathematical Society | paper | ||
Unimodularity and preservation of volumes in nonholonomic mechanics | Yuri N. Fedorov, Luis C. García-Naranjo, Juan C. Marrero | Arxiv | paper | ||
Unified formalism for the generalized kth-order Hamilton-Jacobi problem | Leonardo Colombo, Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy | Preprint Arxiv | paper | ||
Unified formalism for higher-order variational problems and its applications in optimal control | Leonardo Colombo, Pedro D. Prieto-Martínez | Arxiv | paper | ||
Tying knots in light fields | Hridesh Kedia, Iwo Bialynicki-Birula, Daniel Peralta-Salas, William T.M. Irvine | ArXiv preprint | paper | ||
Toric actions on b-symplectic manifolds | Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott | Preprint Arxiv | paper | ||
The local description of discrete Mechanics | Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez | ArXiv preprint | paper | ||
The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets | P. Balseiro | ArXiv preprint | paper | ||
The inhomogeneous Suslov problem | Luis C. García-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska | Preprint Arxiv | paper | ||
The generalized Euler-Poinsot rigid body equations: explicit elliptic solutions | Yuri N. Fedorov, Andrzej J. Maciejewski, Maria Przybylska | Arxiv | paper | ||
The Ehrenfest picture and the geometry of Quantum Mechanics | J. Clemente-Gallardo, G. Marmo | Arxiv | paper | ||
The anisotropic Higgs oscillator on the two-dimensional sphere and the hyperbolic plane | Angel Ballesteros, Francisco J. Herranz, Fabio Musso | ArXiv preprint | paper | ||
The affine invariant of generalized semitoric systems | Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc | Preprint Arxiv | paper | ||
Tensorial description of quantum mechanics | J. Clemente-Gallardo, G. Marmo | ArXiv preprint | paper | ||
Symplectic spectral geometry of semiclassical operators | Álvaro Pelayo | Bulletin of the Belgian Mathematical Society | paper | ||
Superintegrable quantum oscillator and Kepler-Coulomb systems on curved spaces | Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni | The XXIX International Colloquium on Group-Theoretical Methods in Physics", August 20-26, 2012, Chern Institute of Mathematics, Tianjin, China. Nankai Series in Pure, Applied Mathematics and Theoretical Physics, Chengming Bai | paper | ||
Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies | Lyudmila Grigoryeva, Juan-Pablo Ortega, Stanislav Zub | Preprint Arxiv | paper | ||
Simultaneous deformations of algebras and morphisms via derived brackets | Yael Fregier, Marco Zambon | ArXiv preprint | paper | ||
Sharp symplectic embeddings of cylinders | Álvaro Pelayo, San Vũ Ngoc | Arxiv | paper | ||
Semiclassical quantization and spectral limits of h-pseudodifferential and Berezin-Toeplitz operators | Álvaro Pelayo, Leonid Polterovich, San Vũ Ngoc | ArXiv preprint | paper | ||
Semiclassical inverse spectral theory for singularities of focus-focus type | Álvaro Pelayo, San Vũ Ngoc | ArXiv preprint | paper | ||
Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary | Alberto Ibort, Fernando LLedó, Juan Manuel Pérez-Pardo | Preprint Arxiv | paper | ||
Relative Geodesics in the Special Euclidean Group | Darryl D. Holm, Lyle Noakes, Joris Vankerschaver | Arxiv | paper | ||
Reduction of polysymplectic manifolds | Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado, Silvia Vilariño | Preprint | paper | ||
Reduction of Lie--Jordan algebras: Quantum | F. Falceto, L. Ferro, A. Ibort, G. Marmo | Il Nuovo Cimento | 107-115 | C 36 03 | paper |
Realization of associative products in terms of Moyal and tomographic symbols | A. Ibort, V. I. Man'ko, G. Marmo, A. Simoni, C. Stornaiolo, F. Ventriglia | ArXiv preprint | paper | ||
Poincaré-Birkhoff theorems in random dynamics | Álvaro Pelayo, Fraydoun Rezakhanlou | Preprint | paper |
Paper | Authors | Journal | Pages | Volume | URL |
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Variational integrators for Discrete Lagrange Problems | P.L. García, A. Fernández, C. Rodrigo | Journal of Geometric Mechanics | 343 - 374 | 2(4) | paper |
Variational constrained mechanics on Lie affgebroids | J. C. Marrero, D. Martín de Diego, D. Sosa | Discrete and Continuous Dynamical Systems - Series S | 105 - 128 | 1(3) | paper |
Unicycle coverage control via hybrid modeling | A. Kwok, S. Martínez | IEEE Transactions on Automatic Control | 528-532 | 55(2) | paper |
Total Curvature of Curves in Riemannian Manifolds | M. Castrillón López, V. Fernández, J. Muñoz Masqué | Diff. Geom. Appl | 140-147 | 28 | paper |
Time-Dependent Mechanics and Lagrangian Submanifolds of Presymplectic and Poisson Manifolds | E.L Guzman, JC Marrero | J Phys a: Math Theoret | 505201 | 43 | paper |
Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations | Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger | Physics Letters B | paper | ||
The hydrodynamic Chaplygin sleigh | Y.N. Fedorov, L.C. García-Naranjo | J. Phys. A: Math. Theor. | 434013 | 43 | paper |
The canonical eight form on manifolds with holonomy group Spin(9) | M. Castrillón López, P.M. Gadea, I. Mykytyuk | Int. J. Geom. Methods in Modern Physics | 1159-1183. | 7(7) | paper |
Systems approaches and algorithms for discovery of combinatorial therapeutics | J. Feala, J. Cortés, P. Duxbury, C. Piermarocchi, A. McCulloch, G. Paternostro | Wiley Interdisciplinary Reviews: Systems Biology | 181-193 | 2 (2) | paper |
Strict abnormal extremals in nonholonomic and kinematic control systems | M. Barbero Liñán, M.C. Muñoz Lecanda | Discrete Contin. Dyn. Syst. Ser. S | ene-17 | 3(1) | paper |
Star-product in the presence of a monopole | J.F. Carinena, J.M. Gracia-Bondia, F. Lizzi, G. Marmo, P. Vitale | Physics Letters A | 3614-3618 | 35(2) | paper |
Singular reduction of Dirac structures | M. Jotz, T. Ratiu, J. Sniatycki | Transactions of the American Mathematical Society | 2967-3013 | 363 | paper |
Simulating Nonholonomic Dynamics | M. Kobilarov, D. Martín de Diego, S. Ferraro | Boletín de la Sociedad Española de Matemática Aplicada | 61-81 | 50 | paper |
Routh reduction for singular Lagrangians | M. Castrillón López, B. Langerock | Int. J. Geom. Methods in Modern Physics | 1451-1489 | 7(8) | paper |
Reduction of Dirac structures along isotropic subbundles | I. Calvo. F. Falceto, | Reports on Mathematical Physics | 259-269 | 65 (2) | paper |
Reduction of almost Poisson brackets and Hamiltonization of the Chaplygin sphere | L.C. García-Naranjo | Disc. and Cont. Dyn. Syst. Series S | 37–60 | 3 (1) | paper |
Reduction and construction of Poisson quasi-Nijenhuis manifolds with background | F. Cordeiro, J. M. Nunes da Costa | Int. J. Geom. Meth. Modern Phys. | 539-564 | 7 | paper |
Reduced classical field theories: k-cosymplectic formalism on Lie algebroids | D. Martín de Diego, S. Vilariño | Journal of Physics A: Mathematical and Theoretical | 325204 | 43(32) | paper |
Quasivelocities and Optimal Control for underactuated Mechanical Systems | L. Colombo, D. Martín de Diego | AIP Conf. Proc. | 133-140 | 1260 | paper |
Quantum fields on noncommutative spacetimes: theory and phenomenology | A. P. Balachandran, A. Ibort, G. Marmo, M. Martone | SIGMA | 52 | 6 | paper |
Phase splitting for periodic Lie systems | R. Flores, J. de Lucas, Y. Vorobiev | J. Phys A. | 205208 | 43 | paper |
Optimal control of underactuated mechanical systems: A geometric approach | L. Colombo, D. Martin de Diego, M. Zuccalli | Journal of Mathematical Physic | 83519 | 51(8) | paper |
On two superintegrable nonlinear oscillators in N dimensions | Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni | preprint-arxiv | paper | ||
On the tomographic picture of quantum mechanics | A. Ibort, V.I. Manko, G. Marmo, A. Simoni, F. Ventriglia | Phys.Lett.A | 2614-2617 | 374 | paper |