Peter J. Olver

Statistical and Nonlinear Physics · 1995–2014

A researcher in the Science corpus: 13 papers; trusts 22 researchers and is trusted by 39 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 34 citations into it; #595 of 10,127 by trust here, #1,059 by citations
• Mathematical Physics — 24 citations into it; #679 of 8,562 by trust here, #740 by citations
• Applied Mathematics — 14 citations into it
• Computational Theory and Mathematics — 14 citations into it
• Geometry and Topology — 13 citations into it; #2,123 of 7,422 by trust here, #2,384 by citations
• Control and Systems Engineering — 9 citations into it
• Numerical Analysis — 7 citations into it; #756 of 3,586 by trust here, #1,743 by citations
• Algebra and Number Theory — 6 citations into it; #1,619 of 2,864 by trust here, #1,608 by citations

Whom Peter J. Olver trusts overall

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

1. Irina A. Kogan
2. Juha Pohjanpelto
3. Gloria Marí Beffa
4. Gene H. Golub
5. Halil Oruç
6. George M. Phillips
7. Charles F. Van Loan
8. Marcelo Moreira Cavalcanti
9. V. Novikov
10. M. Fels

Who trusts Peter J. Olver overall

1. Juha Pohjanpelto
2. Gloria Marí Beffa
3. Martin Hairer
4. Claudia Garetto
5. A. Alexandrou Himonas
6. Yue Liu
7. G. Misiołek
8. Daniel Cremers
9. G. Hörmann
10. Jonathan C. Mattingly

Papers from Peter J. Olver's perspective

Ordered by how strongly the researchers Peter J. Olver trusts endorse each paper. Same corpus, a different order for every researcher.

1. Moving frames and singularities of prolonged group actions
2. Generating differential invariants
3. Exterior Differential Systems with Symmetry
4. Maurer–Cartan forms and the structure of Lie pseudo-groups
5. Introduction to Symmetry Analysis
6. Moving Frames for Lie Pseudo–Groups (Canadian Journal of Mathematics - Journal Canadien de Mathematiques)
7. Invariant Euler–Lagrange Equations and the Invariant Variational Bicomplex
8. Differential invariant algebras of Lie pseudo-groups
9. The Breadth of Symplectic and Poisson Geometry
10. Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation

Their papers

• On the blow-up of solutions to the integrable modified Camassa–Holm equation (2014) — 61 citations
• Wave-Breaking and Peakons for a Modified Camassa–Holm Equation (2013) — 287 citations
• Differential invariant algebras of Lie pseudo-groups (2009) — 61 citations
• Moving Frames for Lie Pseudo–Groups (2008) — 91 citations
• Generating differential invariants (2007) — 57 citations
• Introduction to partial differential equations (2007) — 1,370 citations
• On Multivariate Interpolation (2006) — 146 citations
• Maurer–Cartan forms and the structure of Lie pseudo-groups (2005) — 66 citations
• Invariant Euler–Lagrange Equations and the Invariant Variational Bicomplex (2003) — 111 citations
• Moving frames and singularities of prolonged group actions (2000) — 54 citations
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation (2000) — 663 citations
• Classification of Integrable One‐Component Systems on Associative Algebras (2000) — 56 citations
• Gradient flows and geometric active contour models (1995)