CadariuRaduQType160805. 155KB Jun 04 2011 12:08:29 AM
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Note that the result of Lemma 15 is known in a more precise form (see the book of Montgomery and Vaughan [ 5 , pp.. We first compute the generating series of n/ϕ (
The generating function of these nibbled staircase polygons can be calculated again using the umbral transfer matrix method, but applied to simpler objects. Alternatively, it may
He studies martingales that take self-adjoint matrix values, and he shows that the maximum eigenvalue of the martingale satisfies a tail bound similar to Freedman’s inequality..
Together with the results of the 2-point function in [16], on which our proofs crucially rely, we prove that the r -point functions converge to the moment measures of the
In the almost last three decades, there have been enormous advances in the study of random field solutions to stochastic partial differential equations (SPDEs) driven by
Applying our proofs to the renewal equation representation (see the proof of their Lemma 2.6), one obtains the same results for local times of Lévy processes as we obtained in
Proofs and two applications of two general results are given concerning the problem of establishing interior smoothness of probabilis- tic solutions of elliptic degenerate
These descriptions yield numerous new identities involving the laws of these processes, and simplified proofs of various known results, including Aldous’s characterization of the
