Logarithmic Fluctuations for Internal DLA     Logarithmic Fluctuations  Internal DLA       font style='font-size:12px;'> 2015/8/14

Let each of n particles starting at the origin in Z2 perform simple random walk until reaching a site with no other particles. Lawler, Bramson, and Griffeath proved that the resulting random set A(n) ...

存档文本 存档附件 原文地址 文献传递

Internal DLA in Higher Dimensions     Internal DLA  Higher Dimensions       font style='font-size:12px;'> 2015/8/14

Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d ≥ 3. We show that A(t) is approximately spherical, up to an O(√log t) erro...

存档文本 存档附件 原文地址 文献传递

Internal DLA and the Gaussian free field     Internal DLA  Gaussian free field       font style='font-size:12px;'> 2015/8/14

In previous works, we showed that the internal DLA cluster on Zd with t particles is almost surely spherical up to a maximal error of O(log t) if d = 2 and O(√log t) if d ≥ 3. This paper addresses “av...

存档文本 存档附件 原文地址 文献传递

Sub-logarithmic fluctuations for internal DLA     Sub-logarithmic fluctuations  internal DLA       font style='font-size:12px;'> 2010/11/23

We consider internal diffusion limited aggregation in dimension larger or equal to two. This is a random cluster growth model, where random walks start at the origin of the $d$-dimensional lattice, o...

存档文本 存档附件 原文地址 文献传递