B. Schlein

Mathematical Physics · 2004–2015

A researcher in the Science corpus: 14 papers; trusts 33 researchers and is trusted by 59 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 46 citations into it; #326 of 8,562 by trust here, #183 by citations
• Statistical and Nonlinear Physics — 46 citations into it; #787 of 10,127 by trust here, #1,906 by citations
• Atomic and Molecular Physics, and Optics — 39 citations into it; #213 of 7,135 by trust here, #1,539 by citations
• Statistics and Probability — 30 citations into it; #829 of 12,932 by trust here, #584 by citations
• Discrete Mathematics and Combinatorics — 18 citations into it; #79 of 2,017 by trust here, #45 by citations
• Applied Mathematics — 9 citations into it
• Nuclear and High Energy Physics — 7 citations into it

Whom B. Schlein trusts overall

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

1. L. Erdős
2. Horng-Tzer Yau
3. K. Johansson
4. Alexander Elgart
5. Percy Deift
6. François Golse
7. Michel Ledoux
8. Antti Knowles
9. Igor Rodnianski
10. Gérard Ben Arous

Who trusts B. Schlein overall

1. L. Erdős
2. Niels Benedikter
3. Horng-Tzer Yau
4. Jun Yin
5. Terence Tao
6. Antti Knowles
7. Ji Oon Lee
8. Van H. Vu
9. M. Grillakis
10. Igor Rodnianski

Papers from B. Schlein's perspective

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

1. Universality of the Local Spacing Distribution¶in Certain Ensembles of Hermitian Wigner Matrices
2. CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICES
3. Random Matrices
4. Derivation of the nonlinear Schr\"odinger equation from a many body Coulomb system
5. Universality of local eigenvalue statistics for some sample covariance matrices
6. Matrix models for beta ensembles
7. A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables
8. Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
9. Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
10. Rigidity of eigenvalues of generalized Wigner matrices

Their papers

• Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices (2007) — 249 citations
• Wegner estimate and level repulsion for Wigner random matrices (2008) — 192 citations
• Bulk universality for Wigner matrices (2009) — 234 citations
• Universality of random matrices and local relaxation flow (2009) — 280 citations
• The local relaxation flow approach to universality of the local statistics for random matrices (2009) — 177 citations
• Effective Evolution Equations from Quantum Dynamics (2015) — 140 citations
• Mean–Field Evolution of Fermionic Systems (2013) — 133 citations
• Quantitative Derivation of the Gross‐Pitaevskii Equation (2012) — 152 citations
• Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics (2008) — 155 citations
• Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics (2007) — 270 citations
• Mean field dynamics of boson stars (2005) — 316 citations
• Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems (2005) — 336 citations
• Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate (2004) — 194 citations
• Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate (2004) — 373 citations