Papers

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Year: 2012
Paper Authors Journal Pagessort descending Volume URL
Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces José F. Cariñena, Manuel F. Rañada, Mariano Santander J. Phys. A: Math. Theor. 45 paper
Lagrangian submanifolds in k-symplectic settings. M. de León, S. Vilariño: Preprint-arXiv paper
$k$-symplectic Pontryagin's Maximum Principle for some families of PDEs M. Barbero-Liñán, M. C. Muñoz-Lecanda ArXiv preprint paper
Classification of real three-dimensional Poisson-Lie groups Angel Ballesteros, Alfonso Blasco, Fabio Musso J. Phys. A: Math and Theor paper
The Picard Fuchs equations for complete hyperelliptic integrals of even order curves, and the actions of the generalized Neumann system Yuri Fedorov, Chara Pantazi preprint-arxiv paper
The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach II José F. Cariñena, Manuel F. Rañada, Mariano Santander J. Math. Phys 53 paper
Mixed superposition rules and the Riccati hierarchy Janusz Grabowski and Javier de Lucas Preprint-arXiv paper
Second order conditions for optimality and local controllability of discrete-time systems M. Barbero-Liñán, B. Jakubczyk ArXiv preprint paper
A numerical algorithm for singular optimal LQ control systems M. Delgado-Tellez, A. Ibort preprint-arxiv paper
Holonomy transformations for singular foliations Iakovos Androulidakis, Marco Zambon preprint-arxiv paper
Hamiltonian dynamics and symplectic capacities Alvaro Pelayo, San Vu Ngoc ArXiv preprint paper
The Geometry of Integrable and Superintegrable Systems A. Ibort and G. Marmo Preprint-arXiv paper
Optimal Control Realizations of Lagrangian Systems with Symmetry M. Delgado-Tellez, A. Ibort, T. Rodriguez de la Peña preprint-arxiv paper
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers Jaume Llibre, Daniel Peralta-Salas preprint-arxiv paper
Symplectic and Poisson geometry on b-manifolds Victor Guillemin, Eva Miranda, Ana Rita Pires preprint-arxiv paper
Optimal Control and higher-order mechanics for systems with symmetries Leonardo Colombo, Fernando Jimenez, David Martin de Diego ArXiv preprint paper
Discrete Variational Optimal Control Fernando Jimenez, Marin Kobilarov, David Martin de Diego Preprint-arXiv paper
Quantum Control and Representation Theory A. Ibort, J.M. Pérez-Pardo preprint-arxiv paper
Time-ordering and a generalized Magnus expansion Michel Bauer, Raphael Chetrite, Kurusch Ebrahimi-Fard, Frederic Patras preprint-arxiv paper
Spectrum generating algebra for the continuous spectrum of a free particle in Lobachevski space M. Gadella, J. Negro, G.P. Pronko, M. Santander Preprint-arXiv paper
A Universal Hamilton-Jacobi Theory Manuel de León, David Martín de Diego, Miguel Vaquero ArXiv preprint paper
Causality and the conformal boundary of AdS in real-time holography Alberto Enciso, Niky Kamran preprint-arxiv paper
Variational principles for higher-order dynamical systems N.Roman Roy- P.D Prieto Martínez Preprint-arXiv paper
Morse families in optimal control problems María Barbero-Liñán, David Iglesias Ponte, David Martín de Diego ArXiv preprint 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
Rigidity of Hamiltonian actions on Poisson manifolds Eva Miranda,Philippe Monnier and Nguyen Tien Zungb Advances in Mathematics 1136–1179 229 paper
Year: 2013
Paper Authors Journal Pagessort descending Volume URL
Reduction of polysymplectic manifolds Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado, Silvia Vilariño Preprint 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
Circle actions and geometric quantization Romero Solha ArXiv preprint paper
Homotopy moment maps Yael Fregier, Christopher L. Rogers, Marco Zambon Arxiv paper
Higher-order discrete variational problems with constraints Leonardo Colombo, David Martín de Diego, Marcela Zuccalli Submit to J. Math Phy 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
Tensorial description of quantum mechanics J. Clemente-Gallardo, G. Marmo ArXiv preprint paper
Hamilton-Jacobi theory in k-cosymplectic field theories M. de León, S. Vilariño Arxiv paper
The Ehrenfest picture and the geometry of Quantum Mechanics J. Clemente-Gallardo, G. Marmo Arxiv 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
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
Tying knots in light fields Hridesh Kedia, Iwo Bialynicki-Birula, Daniel Peralta-Salas, William T.M. Irvine ArXiv preprint paper
Semiclassical quantization and spectral limits of h-pseudodifferential and Berezin-Toeplitz operators Álvaro Pelayo, Leonid Polterovich, San Vũ Ngoc ArXiv preprint paper
Hyperstructures on Lie algebroids P. Antunes, J. M. Nunes da Costa Arxiv paper
Hard Lefschetz theorem for Sasakian manifolds Beniamino Cappelletti Montano, Antonio De Nicola, Ivan Yudin Preprint paper
Distributed convergence to Nash equilibria in two-network zero-sum games Bahman Gharesifard, Jorge Cortes ArXiv preprint paper
Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies Lyudmila Grigoryeva, Juan-Pablo Ortega, Stanislav Zub Preprint 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
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
Convex bodies of states and maps Janusz Grabowski, Alberto Ibort, Marek Kus, Giuseppe Marmo Arxiv paper
Distributed continuous-time convex optimization on weight-balanced digraphs Bahman Gharesifard, Jorge Cortes ArXiv preprint paper
New developments on the Geometric Nonholonomic Integrator Sebastián Ferraro, Fernando Jiménez, David Martín de Diego Preprint Arxiv paper
Semiclassical inverse spectral theory for singularities of focus-focus type Álvaro Pelayo, San Vũ Ngoc ArXiv preprint paper
Unified formalism for higher-order variational problems and its applications in optimal control Leonardo Colombo, Pedro D. Prieto-Martínez Arxiv paper
Non-existence of an invariant measure for a homogeneous ellipsoid rolling on the plane Luis C. García-Naranjo, Juan C. Marrero Preprint paper
Hilbert forms for a Finsler metrizable projective class of sprays M. Crampin, T. Mestdag, D. J. Saunders ArXiv preprint paper
Higher-order superintegrability of separable potentials with a new approach to the Post-Winternitz system Manuel F. Rañada J. Phys. A: Math. Theor. 125206 46 paper
Reduction of Lie--Jordan algebras: Quantum F. Falceto, L. Ferro, A. Ibort, G. Marmo Il Nuovo Cimento 107-115 C 36 03 paper
Year: 2011
Paper Authors Journal Pagessort descending Volume URL
Discrete Second Order Euler-Poincaré Equations. An application to optimal control L. Colombo-F. Jiménez-D.Martín de Diego International Journal of Geometric Methods in Modern Physics paper
Superposition rules for higher-order systems and their applications. J. F. Cariñena, J. Grabowski, J. de Lucas Preprint-arXiv paper
On the geometry of higher-order variational problems on Lie groups L. Colombo-D.Martín de Diego Preprint 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
The homogeneous geometries of real hyperbolic space. The homogeneous geometries of real hyperbolic space. Preprint-arXiv paper
Foliated groupoids and their infinitesimal data Madeleine Jotz, Cristian Ortiz Preprint paper
Unified formalism for higher-order non-autonomous dynamical systems. P. D. Prieto Martínez, N. Román Roy Preprint-arXiv paper
Glanon groupoids Madeleine Jotz, Mathieu Stiénon, Ping Xu Preprint paper
Characterization of accessibility for affine connection control systems at some points with nonzero velocity Maria Barbero Liñán Preprint paper
SOPDES and non-linear connections N. Román-Roy, M. Salgado, S. Vilariño Publicationes Mathematicae Debrecen 78 paper
Quasi-Lie schemes and second-order Riccati equations J.F. Cariñena, J. de Lucas J. Geom. Mech paper
A distributed Deterministic Annealing algorithm for optimal sensor coverage A. Kwok, S. Martínez IEEE Transactions on Control Systems Technology paper
Superposition rules and second-order differential equations J.F. Cariñena, J. de Lucas Proceedings of the XIX FallWorkshop on Geometry and Physics paper
From action-angle coordinates to geometric quantization: a round trip Eva Miranda Oberwolfach report, Geometric quantization in the non-compact setting paper
Classical Lie symmetries and reductions of a nonisospectral Lax pair P. G. Estevez, M.L. Gandarias, J. de Lucas J. of Nonl. Math. Phys. paper
Codimension one symplectic foliations and regular Poisson manifolds V. Guillemin, E. Miranda, Ana Rita Pires Bulletin of the Brazilian mathematical society paper
Integrability of Lie systems through Riccati equations J.F. Cariñena, J. de Lucas J. Nonl. Math. Phys. 17 paper
Action-angle coordinates for integrable systems on Poisson manifolds C. Laurent-Gengoux, E. Miranda, P. Vanhaecke IMRN paper
Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds A. Enciso, D. Peralta Trans. Amer. Math. Soc paper
Campos magnéticos caóticos creados por cables de corriente continua J. Aguirre, A. Luque, D. Peralta Revista Española de Física paper
Knots and links in steady solutions of the Euler equation A. Enciso, D. Peralta Ann. of Math paper
A Geometric Approach to discrete Mechanics for optimal control Theory F. Jiménez, D. Martín paper
Universal lifting theorem and quasi-Poisson groupoids D. Iglesias Ponte, C. Laurent-Gengoux, P. Xu Journal of the European Mathematical Society paper
Submanifolds in Poisson geometry: a survey M. Zambon Proceedings of the conference CDG2009 (Hannover, 2009 paper
Generic linear systems for projective CR manifolds. D. Martínez Torres Differential Geometry and its Applications paper
Presymplectic high order maximum principle M. Barbero Liñán, M.C. Muñoz Lecanda Rev. R. Acad. Cien. Serie A. Mat paper
A note on strict C-convexity. D. Martínez Torres Rev. Mat. Complutense paper
GARCH options via local risk minimization J.P. Ortega Quantitative Finance paper
Heterogeneous discounting in economic problems J. Marín-Solano, C. Patxot Optimal Control Applications and Methods paper
A geometric approach to integrability of Abel differential equations J.F. Cariñena, Javier de Lucas, M.F. Rañada Int. J. Theoretical Physics IJTP4137 paper
The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization J.F. Cariñena, M.F. Rañada, M. Santander Int. J.Theoretical Physics IJTP4102 paper
Symplectic theory of completely integrable Hamiltonian systems Álvaro Pelayo, San Vũ Ngoc Bull. Amer. Math. Soc 409-455 48 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
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
Year: 2010
Paper Authors Journal Pagessort descending Volume URL
On distributed convex optimization under inequality and equality constraints via primal-dual subgradient methods M. Zhu, S. Martínez IEEE Transactions on Automatic Control paper
Lie systems: theory, generalisations, and applications J.F. Cariñena, J. de Lucas Dissertationes Mathematicae paper
A geometric approach to integrability of Abel equations J.F. Cariñena, J. de Lucas, M.F. Rañada Int. J. Theor. Phys. paper
Level density of spin chains of Haldane--Shastry type A. Enciso, F. Finkel and A. González-López Phys. Rev. E 051117 82 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
Quasivelocities and Optimal Control for underactuated Mechanical Systems L. Colombo, D. Martín de Diego AIP Conf. Proc. 133-140 1260 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
Total Curvature of Curves in Riemannian Manifolds M. Castrillón López, V. Fernández, J. Muñoz Masqué Diff. Geom. Appl 140-147 28 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
Year: 2007
Paper Authors Journal Pagessort descending Volume URL
N. Román-Roy, M. Salgado, S. Vilariño N. Román-Roy, M. Salgado, S. Vilariño. Rev. Math. Phys. 1117-1147. 19 paper

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