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Thus the outer expansion must satisfy the right limit condition and the inner expansion must satisfy the left limit condition and if there is only one distinct limit then the
The spectral norm is also of the same order for other related random matrix ensembles, including random Hankel matrices.. A family of random variables is uniformly subgaussian if
In an n by n complete bipartite graph with independent exponentially distributed edge costs, we ask for the minimum total cost of a set of edges of which each vertex is incident to
Keywords: Random Matrices, Block-Matrices, Limiting Spectral Measure, Circulant Block- Matrix, Semicircular Noncommutative Random
Merkl and Rolles (see [14]) studied the recurrence of the original reinforced random walk, the so-called linearly bond-reinforced random walk, on two-dimensional graphs.. Sellke
Mean convergence theorems and weak laws of large numbers for double arrays of random variables. Inequalities with applications to the weak convergence of random pro- cesses
Among several examples, such as random variables which depend on infinitely many Rademacher variables, we provide three main applications: (i) to CLTs for multilinear forms belonging
(1997) Information inequalities and concentration of measure. A note on symmetric Bernoulli random variables. A probability inequality for linear combinations of bounded
