getdoc3d1d. 149KB Jun 04 2011 12:04:17 AM
Teks penuh
Garis besar
Dokumen terkait
hand the auxiliary results leading to Theorem 2.1 can be employed to obtain results on the optimal speed of the random walk under the random potential ξ (see Corollary 2.3
Let us finally mention that while the results on the harmonic measure of Section 4.2 and 4.3 will be needed both in section 6 and 7, Corollary 4.3 of Section 4.1 will be crucial for
One can obtain a new proof of the homogenization result (1.4) from proposition 2.1 by using the fact that Ψ is square integrable on Ω and applying the von Neumann ergodic theorem..
We prove an almost sure limit theorem on the exact convergence rate of the maximum of standardized gaussian random walk increments.. On a conjecture of R´
We calculate the mean and almost-sure leading order behaviour of the high frequency asymp- totics of the eigenvalue counting function associated with the natural Dirichlet form on
As a corollary thereof, we obtain an integral equation for the modified Laplace transform of the Virgin Island Model in Lemma 5.3 which is the key equation for our proof of
Keywords: Random matrix, concentration of measure, empirical distribution,
Remark 24 Recall that to prove Proposition 8, we used Proposition 1 to establish the fact that if there is a coalescent process satisfying conditions B1 and B2 of Theorem 2, then
