6.2k citations
- SLAC National Accelerator LaboratoryUS115 papers
- Kavli Institute for Particle Astrophysics and CosmologyUS87 papers
- Stanford Synchrotron Radiation LightsourceUS62 papers
- California Institute of TechnologyUS43 papers
- Goddard Space Flight CenterUS35 papers
- Massachusetts Institute of TechnologyUS34 papers
- Menlo SchoolUS32 papers
- University of California, BerkeleyUS28 papers
- University of MichiganUS27 papers
- The University of TokyoJP25 papers
- University of Maryland, College ParkUS24 papers
- Columbia UniversityUS23 papers
5 papers · 2 filters
Graph limits and exchangeable random graphs
Persi Diaconis, Svante Janson
We develop a clear connection between deFinetti's theorem for exchangeable arrays (work of Aldous--Hoover--Kallenberg) and the emerging area of graph limits (work of Lovasz and man…
Lyapunov Exponents of Free Operators
Vladislav Kargin
Lyapunov exponents of a dynamical system are a useful tool to gauge the stability and complexity of the system. This paper offers a definition of Lyapunov exponents for a sequence…
Pseudo-maximization and self-normalized processes
Victor H. de la Peña, Michael J. Klass, Tze Leung Lai
Self-normalized processes are basic to many probabilistic and statistical studies. They arise naturally in the the study of stochastic integrals, martingale inequalities and limit…
Existence of optimal controls for singular control problems with state constraints
Amarjit Budhiraja, Kevin Ross
We establish the existence of an optimal control for a general class of singular control problems with state constraints. The proof uses weak convergence arguments and a time resca…
Separation cut-offs for birth and death chains
Persi Diaconis, Laurent Saloff-Coste
This paper gives a necessary and sufficient condition for a sequence of birth and death chains to converge abruptly to stationarity, that is, to present a cut-off. The condition in…