3.7k citations
- New York UniversityUS1.4k papers
- Princeton UniversityUS89 papers
- Centre National de la Recherche ScientifiqueFR79 papers
- New York University ShanghaiCN55 papers
- University of ChicagoUS50 papers
- Flatiron Institute46 papers
- New York University Abu DhabiAE46 papers
- Massachusetts Institute of TechnologyUS43 papers
- University of Maryland, College ParkUS40 papers
- Flatiron Health (United States)US38 papers
- Simons FoundationUS38 papers
- Stanford UniversityUS38 papers
99 papers · 1 filter
Simple physics and integrators accurately reproduce Mercury instability statistics
Dorian S. Abbot, David M. Hernandez, Sam Hadden +3
The long-term stability of the Solar System is an issue of significant scientific and philosophical interest. The mechanism leading to instability is Mercury's eccentricity being p…
Large deviations for out of equilibrium correlations in the symmetric simple exclusion process
Thierry Bodineau, Benoit Dagallier
For finite size Markov chains, the Donsker-Varadhan theory fully describes the large deviations of the time averaged empirical measure. We are interested in the extension of the Do…
Coarse-grained dynamics of transiently-bound fast linkers
Sophie Marbach, Christopher E. Miles
Transient bonds between fast linkers and slower particles are widespread in physical and biological systems. In spite of their diverse structure and function, a commonality is that…
Monotonicity of the logarithmic energy for random matrices
Djalil Chafaï, Benjamin Dadoun, Pierre Youssef
It is well-known that the semi-circle law, which is the limiting distribution in the Wigner theorem, is the minimizer of the logarithmic energy penalized by the second moment. A ve…
Koopman analysis of the periodic Korteweg-de Vries equation
Jeremy P Parker, Claire Valva
The eigenspectrum of the Koopman operator enables the decomposition of nonlinear dynamics into a sum of nonlinear functions of the state space with purely exponential and sinusoida…
Dimensions of Furstenberg sets and an extension of Bourgain's projection theorem
Pablo Shmerkin, Hong Wang
We show that the Hausdorff dimension of -Furstenberg sets is at least , where depends only on and . This improves the previously best known bound for $…