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- The University of TokyoJP6 papers
- Stanford Synchrotron Radiation LightsourceUS5 papers
- Hewlett-Packard (United States)US4 papers
- Kavli Institute for Particle Astrophysics and CosmologyUS4 papers
- University of California, Santa BarbaraUS4 papers
- Massachusetts Institute of TechnologyUS3 papers
- University of ChicagoUS3 papers
- University of WaterlooCA3 papers
- Australian National UniversityAU2 papers
- California Institute of TechnologyUS2 papers
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- Cornell UniversityUS2 papers
6 papers · 2 filters
An Urn Model of Diaconis
David Siegmund, Benjamin Yakir
An urn model of Diaconis and some generalizations are discussed. A convergence theorem is proved that implies for Diaconis' model that the empirical distribution of balls in the ur…
Maxima of asymptotically Gaussian random fields and moderate deviation approximations to boundary crossing probabilities of sums of random variables with multidimensional indices
Hock Peng Chan, Tze Leung Lai
Several classical results on boundary crossing probabilities of Brownian motion and random walks are extended to asymptotically Gaussian random fields, which include sums of i.i.d.…
Exchangeable pairs and Poisson approximation
Sourav Chatterjee, Persi Diaconis, Elizabeth Meckes
This is a survey paper on Poisson approximation using Stein's method of exchangeable pairs. We illustrate using Poisson-binomial trials and many variations on three classical probl…
The spectrum of a random geometric graph is concentrated
Sanatan Rai
Consider points distributed uniformly in . Form a graph by connecting two points if their mutual distance is no greater than . This gives a random geometric grap…
Cugliandolo-Kurchan equations for dynamics of Spin-Glasses
Gerard Ben Arous, Amir Dembo, Alice Guionnet
We study the Langevin dynamics for the family of spherical -spin disordered mean-field models and prove that in the limit of system size approaching infinity, the empirical…
Extremes of the discrete two-dimensional Gaussian free field
Olivier Daviaud
We consider the lattice version of the free field in two dimensions and study the fractal structure of the sets where the field is unusually high (or low). We then extend some of o…