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A new family of minimal spectrally arbitrary patterns is presented which allow for arbitrary spectrum by using the Nilpotent-Jacobian method introduced in [J.H.. van
The asymptotics of the Schatten norms of finite Toeplitz matrices generated by functions with a Fisher-Hartwig singularity are described as the matrix dimension n goes to infinity..
Let W be the standard Brownian web.. right-most, path among all paths in N starting from z. On the other hand, the construction of the Brownian net in [ NRS08 ] can be regarded as
This process is defined exactly as the one-dimensional Brownian snake, except that the spatial motion is this time a δ-dimensional Bessel process (absorbed or reflected at 0; this
In the present paper we construct such a Hermitian matrix-valued process, whose entries are sums of Brownian motions and Brownian bridges given independently of each other, that
A closed formula for the mean of a maximum likelihood estimator associated with the Brownian bridge is obtained; the exact relation with that of the Brownian motion is
In this section, we use Corollary 2 to determine whether the Λ-coalescent comes down from infinity for particular families of measures Λ. We begin with the
Key words: Weak convergence, Bernoulli random walks, Brownian meander, bridge, ex- cursion, peaks.... } be the set of
