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Supremum of Perelman's entropy and Kahler-Ricci flow on a Fano manifold
Kahler-Ricci flow Kahler-Ricci solitons Perelman entropy
2011/9/15
Abstract: In this paper, we extend the method in [TZhu5] to study the energy level $L(\cdot)$ of Perelman's entropy $\lambda(\cdot)$ for K\"ahler-Ricci flow on a Fano manifold. Consequently, we first ...
Penalisation of the symmetric random walk by several functions of the supremum
Penalisation symmetric random several functions of the supremum
2011/1/21
all ( ,F1,P,X,F) the canonical space for the standard random walk on Z. Thus, denotes the set of paths : N ! Z such that | (n + 1) − (n)| = 1, X = (Xn, n 0) is the canonical coordinate proc...
We show that the law of the overall supremum $\bar{X}_t=\sup_{s\le t}X_s$ of a L\'evy process $X$ before the deterministic time $t$ is equivalent to the average occupation measure $\mu_t(dx)=\int_0^t...