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A probabilistic and RIPless theory of compressed sensing
A probabilistic and RIPless theory compressed sensing
2010/11/22
This paper introduces a simple and very general theory of compressive sensing. In this theory, the sensing mechanism simply selects sensing vectors independently at random from a probability distribut...
A probabilistic approach to local limit theorems with applications to random graphs
local limit theorems applications to random graphs
2010/11/19
In this article, we develop a general method to obtain local limit theorems from distributional limit theorems. Our results use probabilistic arguments and yield explicit bounds on the quality of app...
A Probabilistic Proof of the Rogers Ramanujan Identities
A Probabilistic Proof Rogers Ramanujan Identities
2010/10/29
The asymptotic probability theory of conjugacy classes of the finite general linear and unitary groups leads to a probability measure on the set of all partitions of natural numbers. A simple method o...