On the behavior of diffusion processes with traps - UMD MATH
Abstract. We propose two numerical schemes for approximating quasi-stationary distributions. (QSD) of finite state Markov chains with absorbing states.
Localization theory for propagation of quantum informationMost of these asymptotic results are derived under the assumption that the data dimen- sion p is fixed while the sample size n tends to infinity (large sample ... An Introduction to Large Sample covariance matrices and Their ...Note that |[x ? y]| is the distance between x and y on torus, namely, dist(x, y) := |[x ? y]|. 1. Here we use the same convention as Wolfram ... Part IB - Analysis II - Dexter Chua|x ? y| < ? ? |fN (x) ? fN (y)| < ?. Then for each y such that |x ? y| < ?, we have. |f(x) ? f(y)|?|f(x) ? fN (x)| + |fN (x) ? fN (y)| + |fN (y) ? f(y)| < 3?.
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