Bassam Fayad

Mathematical Physics · 2002–2013

A researcher in the Science corpus: 9 papers; trusts 6 researchers and is trusted by 12 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 16 citations into it; #1,855 of 8,562 by trust here, #2,387 by citations
• Applied Mathematics — 11 citations into it
• Statistical and Nonlinear Physics — 8 citations into it; #1,751 of 10,127 by trust here, #3,735 by citations

Whom Bassam Fayad trusts overall

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

1. Artur Avila
2. S. Jitomirskaya
3. A. Katok
4. Dmitry Dolgopyat
5. J. Yoccoz
6. François Maucourant

Who trusts Bassam Fayad overall

1. A. Katok
2. J. Thouvenot
3. M. Saprykina
4. Tobias Jäger
5. Vitaly Bergelson
6. Jayadev S. Athreya
7. Artur Avila
8. Yann Bugeaud
9. Jiangong You
10. Jimmy Tseng

Papers from Bassam Fayad's perspective

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

1. Almost localization and almost reducibility
2. Constructions in elliptic dynamics (Ergodic Theory and Dynamical Systems)
3. Limit theorems for partially hyperbolic systems
4. The generic transformation has roots of all orders
5. Analytic linearization of circle diffeomorphisms
6. Analytic mixing reparametrizations of irrational flows (Ergodic Theory and Dynamical Systems)
7. Combinatorial constructions in ergodic theory and dynamics
8. Extremal Lyapunov exponents: an invariance principle and applications
9. The Lyapunov exponents of generic volume-preserving and symplectic maps
10. Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents

Their papers

• Around the stability of KAM tori (2013) — 51 citations
• Rigidity results for quasiperiodic SL(2, R) -cocycles (2010) — 57 citations
• A Kam Scheme for SL(2, $${{\mathbb R}}$$) Cocycles with Liouvillean Frequencies (2010) — 89 citations
• A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies (2010) — 102 citations
• Mixing in the Absence of the Shrinking Target Property (2006) — 50 citations
• Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary (2005) — 63 citations
• Constructions in elliptic dynamics (2004) — 141 citations
• Analytic mixing reparametrizations of irrational flows (2002) — 71 citations
• Weak mixing for reparameterized linear flows on the torus (2002) — 59 citations