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The research on the local correlation structure of copula function is an attractive topic.This paper investigates bivariate copula function’s local correlation structure by defining its concentration ...
Abstract: The paper provides a simpler method for proving a delicate inequality that was used by Achlioptis and Naor to establish asymptotic concentration for chromatic numbers of Erdos-Renyi random g...
Abstract: These lecture notes present some new concentration inequalities for Feynman-Kac particle processes. We analyze different types of stochastic particle models, including particle profile occup...
Let Q(x, y) be a quadratic form with discriminant D 6= 0. We obtain non trivial upper bound estimates for the number of solutions of the congruence Q(x, y) ≡  (mod p), where p is a prime and x, y l...
A concentration property of the functional −log f(X) is demonstrated,when a random vector X has a log-concave density f on Rn.This concentration property implies in particular an extension of th...
Some superlinear fourth order elliptic equations are considered. Ground states are proved to exist and to concentrate at a point in the limit. The proof relies on variational methods, where the existe...
We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the entire particle system. Using Transportation ...
We consider a random variable X that takes values in a (possibly infinite-dimensional) topological vector space X. We show that, with respect to an appropriate “normal distanceon X.
The present paper is devoted to weighted Nonlinear Schrödinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the exi...
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible characters of an Hecke algebra Hq(Sn) are concentrated around the normalized trace of Hq(Sn). More preci...
We show that the distribution of the first return time τ to the origin, v, of a simple randomwalk on an infinite recurrent graph is heavy tailed and non-concentrated.
The realizations of a Gaussian field are investigated in the limit where its L2-norm is large. Concentration onto the eigenspace associated with the largest eigenvalue of the covariance of the field ...
We characterize generalized Young measures, the so-called DiPerna-Majda measures which are gener-ated by sequences of gradients. In particular, we precisely describe these measures at the boundary of ...
We review the known intricate connections between the concentration ellipsoid of statistics [1, 2] and the inertia ellipsoid of mechanics [3, 4]. We then contribute a new relationship involving the ec...
We extend the known intricate connections between the concentration ellipsoid of statistics [1, 2] and the inertia ellipsoid of mechanics [3, 4] from three to n dimensions. We then also extend the rel...

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