Large scale limit of interface fluctuation models

The application of DEA and queuing models to large scale computer networks

Large N Limit of Integrable Models

We consider a large N limit of the Hitchin type integrable systems. The first system is the elliptic rotator on GLN that corresponds to the Higgs bundle of degree one over an elliptic curve with a marked point. This system is gauge equivalent to the N -body elliptic Calogero-Moser system, that is derived from the Higgs bundle of degree zero over the same curve. The large N limit of the former s...

Nonlinear Density Fluctuation Field Theory for Large Scale Structure

We develop the effective field theory of density fluctuations for a Newtonian self-gravitating N -body system in quasi-equilibrium, apply it to a homogeneous universe with small density fluctuations. Keeping the density fluctuation up to the second order, we obtain the nonlinear field equation of the 2-pt correlation ξ(r), which contains the 3-pt correlation and formal ultra-violet divergences....

Large-Scale Hierarchical Topic Models

In the past decade, a number of advances in topic modeling have produced sophisticated models that are capable of generating hierarchies of topics. One challenge for these models is scalability: they are incapable of working at the massive scale of millions of documents and hundreds of thousands of terms. We address this challenge with a technique that learns a hierarchy of topics by iterativel...

Study of the models of large-scale atmospheric circulation system model on intesify rainfall in Ardebil plain

Atmospheric circulation is important to determine the surface climate and environment, and affect regional climate and surface features. In this study, to quantify its effect, the classification system, developed by Lamb is applied to obtain circulation information for Ardabil, North West Province in Iran, on a daily basis, and is a method to classify synoptic weather for study area. For that p...