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However, our congruence is more versatile, and we exploit it in the final section together with The- orem 1.1 to prove the congruences involving Bernoulli numbers stated in
We present a Diaz–Metcalf type operator inequality as a reverse Cauchy–Schwarz inequality and then apply it to get some operator versions of P´ olya–Szeg¨
Abstract : The Green function of a transient symmetric Markov process can be interpreted as the covariance of a centered Gaussian process.. This relation leads to several
Keywords: Random matrix, eigenvalues, asymptotic independence, Gaussian unitary
However in case κ ≤ 0, when f ’s approximate indicator functions of Borel sets, (8.3) turns into an isoperimetric inequality, which is close to, but still a little weaker than
Finally we prove the main results in the last sections, by means of approximation techniques in large deviations and convex analysis : the key being the inequality (1.8) and the
In this short note, we first present the following Gaussian correlation inequality which is closely related to a result of Schechtman, Schlumprecht and Zinn (1998) on the
In this formulation, we regard the coalgebra structures of the vertex and the face type elliptic al- gebras as two different quasi-Hopf deformation of the corresponding affine
