Papers

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New developments on the Geometric Nonholonomic Integrator, Sebastián Ferraro, Fernando Jiménez, David Martín de Diego

Examples of compact K-contact manifolds with no Sasakian metric, Beniamino Cappelletti-Montano, Antonio de Nicola, Juan Carlos Marrero, Ivan Yudin

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Year: 2010
Paper Authorssort descending Journal Pages Volume URL
Simulating Nonholonomic Dynamics M. Kobilarov, D. Martín de Diego, S. Ferraro Boletín de la Sociedad Española de Matemática Aplicada 61-81 50 paper
3D Riemannian and Lorentzian spaces of non-constant curvature and their superintegrable Hamiltonians from a quantum sl2 algebra, A. Ballesteros, A. Enciso, F.J. Herranz and O. Ragnisco Phys. At. Nuclei 255–263 73 paper
Level density of spin chains of Haldane--Shastry type A. Enciso, F. Finkel and A. González-López Phys. Rev. E 051117 82 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
Unicycle coverage control via hybrid modeling A. Kwok, S. Martínez IEEE Transactions on Automatic Control 528-532 55(2) paper
Deployment algorithms for a power-constrained mobile sensor network A. Kwok, S. Martínez International Journal of Robust and Nonlinear Contro 745–763 20(7) paper
Quantum fields on noncommutative spacetimes: theory and phenomenology A. P. Balachandran, A. Ibort, G. Marmo, M. Martone SIGMA 52 6 paper
A new exactly solvable quantum model in N dimensions Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni Physics Letters A paper
On two superintegrable nonlinear oscillators in N dimensions Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni preprint-arxiv 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
Constrained Variational Calculus for Higher Order Classical Field Theories C. M. Campos, M. de Leon, D. Martin de Diego Journal of Physics A: Mathematical and Theoretical 455206 43(45) 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
A note on the separability of canonical integrations of Lie algebroids D. Martínez Torres Math. Res. Lett 69-75 17(1) 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
Curvature of almost quaternion-Hermitian Manifolds F. Martín Cabrera, A. Swann Forum Mathematicum 21-52 22 paper
A Lie systems approach for the first passage-time of piecewise deterministic processes F. Avram, J.F. Cariñena, J. de Lucas in the book: Modern Trends of Controlled Stochastic Processes: Theory and Applications 144-160 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
Reduction of Dirac structures along isotropic subbundles I. Calvo. F. Falceto, Reports on Mathematical Physics 259-269 65 (2) paper
Motion of charged particles in magnetic fields created by symmetric configurations of wires J. Aguirre, A. Luque, D. Peralta Phys. D 654-675 239 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
Year: 2012
Paper Authorssort descending Journal Pages Volume URL
A new approach to the higher-order superintegrability of the Tremblay-Turbiner-Winternitz system Manuel F. Rañada J. Phys. A 45 paper
Thermodynamics of spin chains of Haldane-Shastry type and one-dimensional vertex models. A. Enciso, F. Finkel, A. Gonzalez-Lopez: preprint-arxiv paper
The Geometry of Integrable and Superintegrable Systems A. Ibort and G. Marmo Preprint-arXiv paper
Quantum Control and Representation Theory A. Ibort, J.M. Pérez-Pardo preprint-arxiv paper
On the tomographic description of classical fields. A.Ibort, A. Lopez-Yela, V. I. Man'ko, G. Marmo, A. Simoni, E. C. G. Sudarshan, F. Ventriglia Preprint-arXiv paper
Submanifolds that are level sets of solutions to a second-order elliptic PDE Alberto Enciso, Daniel Peralta-Salas ArXiv preprint paper
Existence of knotted vortex tubes in steady Euler flows Alberto Enciso, Daniel Peralta-Salas ArXiv preprint paper
Causality and the conformal boundary of AdS in real-time holography Alberto Enciso, Niky Kamran preprint-arxiv paper
Three lectures on global boundary conditions and the theory of self--adjoint extensions of the covariant Laplace--Beltrami and Dirac operators on Riemannian manifolds with boundary Alberto Ibort preprint-arxiv paper
Moduli spaces of toric manifolds Álvaro Pelayo, Ana Rita Pires, Tudor S. Ratiu, Silvia Sabatini ArXiv preprint paper
Hamiltonian dynamics and symplectic capacities Alvaro Pelayo, San Vu Ngoc ArXiv preprint paper
First steps in symplectic and spectral theory of integrable systems Álvaro Pelayo, San Vũ Ngoc Discrete Contin. Dyn. Syst 3325-3377 32 paper
Non-coboundary Poisson-Lie structures on the book group Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor paper
Classification of real three-dimensional Poisson-Lie groups Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor paper
Quantum algebras as quantizations of dual Poisson-Lie groups Angel Ballesteros, Fabio Musso ArXiv preprint paper
Continuous-time distributed convex optimization on directed graphs. B. Gharesifard, J. Cortes: preprint-arxiv paper
Distributed convergence to Nash equilibria by adversarial networks. B. Gharesifard, J. Cortes: preprint-arxiv paper
Routh reduction and the class of magnetic Lagrangian systems B. Langerock, E. García-Toraño Andrés, F. Cantrijn preprint-arxiv paper
Some remarks on cosymplectic 3-structures Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin AIP Conf. Proc 141-146 1460 paper
Higher order variational time discretization of optimal control problems C.M. Campos, O. Junge, S. Ober-Blöbaum preprint-arxiv paper
Poly-Poisson structures D. Iglesias-Ponte, J.C. Marrero, M. Vaquero ArXiv preprint paper
Rigidity of Hamiltonian actions on Poisson manifolds Eva Miranda,Philippe Monnier and Nguyen Tien Zungb Advances in Mathematics 1136–1179 229 paper
Discrete Variational Optimal Control Fernando Jimenez, Marin Kobilarov, David Martin de Diego Preprint-arXiv paper
Deformations of coisotropic submanifolds for fibrewise entire Poisson structures Florian Schaetz, Marco Zambon ArXiv preprint paper
On Single-Input Controllable Linear Systems Under Periodic DoS Jamming Attacks Hamed Shisheh Foroush, Sonia Martínez ArXiv preprint paper
An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems Hernán Cendra, María Etchechoury, Sebastián J. Ferraro ArXiv preprint paper
Holonomy transformations for singular foliations Iakovos Androulidakis, Marco Zambon preprint-arxiv paper
Reduction of symplectic principal $\mathbb{R}$-bundles Ignazio Lacirasella, Juan Carlos Marrero, Edith Padrón Preprint-arXiv paper
Year: 2013
Paper Authorssort descending Journal Pages Volume URL
Lie-Hamilton systems on the plane: properties, classification and applications A. Ballesteros, A. Blasco, F.J. Herranz, J. de Lucas, C. Sardón Preprint Arxiv paper
From constants of motion to superposition rules for Lie-Hamilton systems A. Ballesteros, J.F. Cariñena, F.J. Herranz, J. de Lucas, C. Sardón Arxiv 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
Groupoids and the tomographic picture of quantum mechanics A. Ibort, V.I. Manko, G. Marmo, A. Simoni, C. Stornaiolo Preprint Arxiv paper
Gradient dynamical systems on open surfaces and critical points of Green's functions Alberto Enciso, Daniel Peralta-Salas Arxiv paper
A singular initial-boundary value problem for nonlinear wave equations and holography in asymptotically anti-de Sitter spaces Alberto Enciso, Niky Kamran Preprint Arxiv 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
Symplectic spectral geometry of semiclassical operators Álvaro Pelayo Bulletin of the Belgian Mathematical Society paper
Poincaré-Birkhoff theorems in random dynamics Álvaro Pelayo, Fraydoun Rezakhanlou Preprint 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
Sharp symplectic embeddings of cylinders Álvaro Pelayo, San Vũ Ngoc Arxiv paper
An integer optimization problem for non-Hamiltonian periodic flows Álvaro Pelayo, Silvia Sabatini Preprint Arxiv paper
The affine invariant of generalized semitoric systems Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc Preprint Arxiv paper
A preliminary univalent formalization of the p-adic numbers Álvaro Pelayo, Vladimir Voevodsky, Michael A. Warren ArXiv preprint 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
Drinfel'd doubles for (2+1)-gravity Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger ArXiv preprint paper
On quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions Angel Ballesteros, Francisco J. Herranz, Fabio Musso 3Quantum: Algebra, Geometry, Information paper
The anisotropic Higgs oscillator on the two-dimensional sphere and the hyperbolic plane Angel Ballesteros, Francisco J. Herranz, Fabio Musso ArXiv preprint paper
Distributed convergence to Nash equilibria in two-network zero-sum games Bahman Gharesifard, Jorge Cortes ArXiv preprint paper
Distributed continuous-time convex optimization on weight-balanced digraphs Bahman Gharesifard, Jorge Cortes ArXiv preprint paper
Hard Lefschetz theorem for Sasakian manifolds Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Preprint paper
A survey on cosymplectic geometry Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Arxiv paper
Examples of compact K-contact manifolds with no Sasakian metric Beniamino Cappelletti-Montano, Antonio de Nicola, Juan Carlos Marrero, Ivan Yudin Preprint Arxiv paper
Coupling symmetries with Poisson structures Camille Laurent-Gengoux, Eva Miranda ArXiv preprint paper
Relative Geodesics in the Special Euclidean Group Darryl D. Holm, Lyle Noakes, Joris Vankerschaver Arxiv paper
Geometric Quantization of real polarizations via sheaves Eva Miranda, Francisco Presas ArXiv preprint paper
On a Poincaré lemma for singular foliations and geometric quantization Eva Miranda, Romero Solha Foliations 2012 Proceedings paper
Reduction of Lie--Jordan algebras: Quantum F. Falceto, L. Ferro, A. Ibort, G. Marmo Il Nuovo Cimento 107-115 C 36 03 paper
Cartan algorithm and Dirac constraints for Griffiths variational problems Hernán Cendra, Santiago Capriotti Preprint Arxiv paper
Tying knots in light fields Hridesh Kedia, Iwo Bialynicki-Birula, Daniel Peralta-Salas, William T.M. Irvine ArXiv preprint paper
Tensorial description of quantum mechanics J. Clemente-Gallardo, G. Marmo ArXiv preprint paper
Year: 2011
Paper Authorssort descending Journal Pages Volume URL
Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds A. Enciso, D. Peralta Trans. Amer. Math. Soc paper
Knots and links in steady solutions of the Euler equation A. Enciso, D. Peralta Ann. of Math paper
A distributed Deterministic Annealing algorithm for optimal sensor coverage A. Kwok, S. Martínez IEEE Transactions on Control Systems Technology paper
On the k-symplectic, k-cosymplectic and multisimplectic formalisms of classical field theories. A. M. Rey, N. Román-Roy, M. Salgado, S. Vilariño JGM 112-137 vol 3 paper
Symplectic theory of completely integrable Hamiltonian systems Álvaro Pelayo, San Vũ Ngoc Bull. Amer. Math. Soc 409-455 48 paper
New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni J. Phys.: Conf. Ser paper
Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor Antonio De Nicola, Juan Carlos Marrero, Edith Padron Journal of Physics A: Mathematical and Theoretical doi:10.1088/1751-8113/44/42/425206 44 paper
Action-angle coordinates for integrable systems on Poisson manifolds C. Laurent-Gengoux, E. Miranda, P. Vanhaecke IMRN paper
Discrete Lagrange D'Alembert-Poincaré equations for Euler's disk C. Martínez Campos, H. Cendra, V. Díaz, D. Martín de Diego RACSAM- Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. DOI 10.1007/s13398-011-0053-3 paper
Covariantizing Classical Field Theories Castrillón López, M. Gotay J. Geom. Mech. paper
Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds Cédric M. Campos, Elisa Guzmán, Juan Carlos Marrero Preprint paper
Universal lifting theorem and quasi-Poisson groupoids D. Iglesias Ponte, C. Laurent-Gengoux, P. Xu Journal of the European Mathematical Society paper
Generic linear systems for projective CR manifolds. D. Martínez Torres Differential Geometry and its Applications paper
A note on strict C-convexity. D. Martínez Torres Rev. Mat. Complutense paper
From action-angle coordinates to geometric quantization: a round trip Eva Miranda Oberwolfach report, Geometric quantization in the non-compact setting paper
Reduction of Lie-Jordan Banach algebras and quantum states F. Falceto, L. Ferro, A. Ibort, G. Marmo: Preprint-arXiv paper
A Geometric Approach to discrete Mechanics for optimal control Theory F. Jiménez, D. Martín paper
Smoothness of holonomy covers for singular foliations and essentia isotropy I. Androulidakis, M. Zambon Preprint-arXiv paper
Campos magnéticos caóticos creados por cables de corriente continua J. Aguirre, A. Luque, D. Peralta Revista Española de Física paper
Reduction of a Symplectic Lie Algebroid with Momentum Map and its Application to Fiberwise Linear Poisson Structures J. C. Marrero, E. Padron, M. Rodriguez-Olmos Preprint-arXiv paper

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