M. Lyubich

Geometry and Topology · 2003–2014

A researcher in the Science corpus: 8 papers; trusts 8 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 17 citations into it; #3,548 of 7,422 by trust here, #2,963 by citations
• Mathematical Physics — 17 citations into it; #2,865 of 8,562 by trust here, #2,582 by citations
• Applied Mathematics — 10 citations into it; #4,023 of 7,620 by trust here, #4,749 by citations
• Statistical and Nonlinear Physics — 6 citations into it; #7,418 of 10,127 by trust here, #5,625 by citations

Whom M. Lyubich trusts overall

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

1. Curtis T. McMullen
2. John W. Milnor
3. Artur Avila
4. Oleg Kozlovski
5. Jeremy A. Kahn
6. M. Bonk

Who trusts M. Lyubich overall

1. Lasse Rempe
2. Artur Avila
3. F. Przytycki
4. Weiyuan Qiu
5. P. Berger
6. Juan Rivera-Letelier

Papers from M. Lyubich's perspective

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

1. Dynamics in one complex variable
2. Local connectivity of Julia sets for unicritical polynomials
3. Combinatorial rigidity for unicritical polynomials
4. Escaping Points of Exponential Maps
5. Simple mathematical models with very complicated dynamics
6. Statistical properties of unimodal maps: the quadratic family
7. Hausdorff dimension and conformal dynamics II: Geometrically finite rational maps
8. Tameness of hyperbolic 3-manifolds
9. Rigidity of Schottky sets
10. Closed surface bundles of least volume

Their papers

• Local connectivity of Julia sets for unicritical polynomials (2005) — 65 citations
• Quasisymmetries of Sierpi\'nski carpet Julia sets (2014) — 48 citations
• Classification of invariant Fatou components for dissipative Hénon maps (2014) — 55 citations
• Stability and bifurcations for dissipative polynomial automorphisms of C^2 (2013) — 65 citations
• The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes (2010) — 49 citations
• Combinatorial rigidity for unicritical polynomials (2005) — 54 citations
• Hausdorff dimension and conformal measures of Feigenbaum Julia sets (2004) — 55 citations
• Regular or stochastic dynamics in real analytic families of unimodal maps (2003) — 121 citations