Fr'ed'eric Bayart

Applied Mathematics · 2002–2017

A researcher in the Science corpus: 23 papers; trusts 21 researchers and is trusted by 50 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 64 citations into it; #152 of 7,620 by trust here, #228 by citations
• Mathematical Physics — 40 citations into it; #662 of 8,562 by trust here, #893 by citations
• Geometry and Topology — 19 citations into it; #1,206 of 7,422 by trust here, #1,487 by citations
• Algebra and Number Theory — 14 citations into it; #81 of 2,864 by trust here, #144 by citations
• Statistics and Probability — 14 citations into it; #5,961 of 12,932 by trust here, #6,310 by citations

Whom Fr'ed'eric Bayart trusts overall

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

1. S. Grivaux
2. Andreas Defant
3. Antonio Bonilla
4. K. Grosse-Erdmann
5. Paul S. Bourdon
6. David Pérez-García
7. Stanislav Shkarin
8. Alfredo Peris
9. É. Matheron
10. George Costakis

Who trusts Fr'ed'eric Bayart overall

1. S. Grivaux
2. Antonio Bonilla
3. Quentin Menet
4. É. Matheron
5. George Costakis
6. K. Grosse-Erdmann
7. L. González
8. Tatjana Eisner
9. Nilson C. Bernardes
10. L. Bernal-Gonz'alez

Papers from Fr'ed'eric Bayart's perspective

Ordered by how strongly the researchers Fr'ed'eric Bayart trusts endorse each paper. Same corpus, a different order for every researcher.

1. Frequently dense orbits
2. Frequently hypercyclic operators and vectors (Ergodic Theory and Dynamical Systems)
3. On the spectrum of frequently hypercyclic operators
4. Frequently hypercyclic operators
5. Distributional chaos for linear operators
6. Multi-hypercyclic operators are hypercyclic
7. Multilinear extensions of Grothendieck’s theorem
8. Multiple summing operators on Banach spaces
9. Ergodic Theory via Joinings
10. Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables

Their papers

• Difference sets and frequently hypercyclic weighted shifts (2013) — 129 citations
• Sharp generalizations of the multilinear Bohnenblust--Hille inequality (2013) — 113 citations
• Multiple summing maps: Coordinatewise summability, inclusion theorems and p-Sidon sets (2017) — 57 citations
• Approximation numbers of composition operators on $H^p$ spaces of Dirichlet series (2014) — 60 citations
• Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables (2014) — 58 citations
• The Bohr radius of the $n$-dimensional polydisk is equivalent to $\sqrt{\frac{\log n}{n}} (2013) — 138 citations
• Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators (2013) — 101 citations
• Maximum modulus of random polynomials (2012) — 57 citations
• Mixing operators and small subsets of the circle (2011) — 57 citations
• m‐isometries on Banach spaces (2011) — 98 citations
• Dynamics of Linear Operators: Author index (2009) — 738 citations
• Dynamics of Linear Operators: An introduction to Read-type operators (2009) — 63 citations
• Abstract theory of universal series and applications (2008) — 146 citations
• Invariant Gaussian measures for operators on Banach spaces and linear dynamics (2007) — 94 citations
• Algebras in sets of queer functions (2007) — 48 citations
• Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. (2007) — 86 citations
• HYPONORMAL OPERATORS, WEIGHTED SHIFTS AND WEAK FORMS OF SUPERCYCLICITY (2006) — 52 citations
• Frequently hypercyclic operators (2006) — 277 citations
• Topological and algebraic genericity of divergence and universality (2005) — 72 citations
• Linearity of sets of strange functions (2005) — 54 citations