Tudor S. Ratiu

Mathematical Physics · 1994–2015

A researcher in the Science corpus: 14 papers; trusts 8 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 18 citations into it; #2,228 of 8,562 by trust here, #1,475 by citations
• Geometry and Topology — 14 citations into it; #5,924 of 7,422 by trust here, #2,832 by citations
• Statistical and Nonlinear Physics — 12 citations into it; #3,351 of 10,127 by trust here, #3,010 by citations
• Numerical Analysis — 8 citations into it; #2,055 of 3,586 by trust here, #2,832 by citations
• Computational Theory and Mathematics — 5 citations into it
• Control and Systems Engineering — 5 citations into it; #2,691 of 8,257 by trust here, #2,528 by citations

Whom Tudor S. Ratiu trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jerrold E. Marsden
2. Guido Blankenstein
3. Darryl D. Holm
4. Leon A. Takhtajan
5. Juan-Pablo Ortega
6. 梶原 健
7. Sam Payne
8. A. J. van der Schaft

Who trusts Tudor S. Ratiu overall

1. Jerrold E. Marsden
2. Darryl D. Holm
3. Patricio A. Vela
4. Peter W. Michor
5. Romeo Ortega
6. Anthony M. Bloch
7. Michael I. Miller
8. Sanjay Lall
9. Hiroaki Yoshimura
10. Thomas J. Bridges

Papers from Tudor S. Ratiu's perspective

Ordered by how strongly the researchers Tudor S. Ratiu trusts endorse each paper. Same corpus, a different order for every researcher.

1. Symmetry and reduction in implicit generalized Hamiltonian systems
2. Discrete mechanics and variational integrators (Acta Numerica)
3. Introduction to mechanics and symmetry
4. Poisson sigma models and symplectic groupoids
5. Global Aspects of Classical Integrable Systems
6. Lie Groups
7. PROPER GROUPOIDS AND MOMENTUM MAPS: LINEARIZATION, AFFINITY, AND CONVEXITY GROUPOPROPRES ET APPLICATIONS MOMENT: LIN ´ EARISATION, CARACT ` ERE AFFINE, ET CONVEXIT ´ E
8. Contact cuts
9. Completely Bounded Maps and Operator Algebras: Contents
10. Tropical toric geometry

Their papers

• The geometry of the universal Teichmuller space and the Euler-Weil-Petersson equation (2015) — 55 citations
• The tropical momentum map: a classification of toric log symplectic manifolds (2014) — 66 citations
• The Breadth of Symplectic and Poisson Geometry (2007) — 211 citations
• The momentum map in Poisson geometry (2007) — 47 citations
• The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits (2006) — 52 citations
• Variational principles for Lie-Poisson and Hamilton-Poincaré equations (2003) — 88 citations
• Momentum Maps and Hamiltonian Reduction (2003) — 471 citations
• Singular reduction of implicit Hamiltonian systems (2003) — 51 citations
• The symmetric representation of the rigid body equations and their discretization (2002) — 53 citations
• Geometric mechanics, Lagrangian reduction, and nonholonomic systems (2001) — 161 citations
• Lagrangian Reduction by Stages (2001) — 259 citations
• Euler–Poincaré Reduction on Principal Bundles (2001) — 66 citations
• Reduction theory and the Lagrange-Routh equations (2000) — 145 citations
• Introduction to mechanics and symmetry (1994)