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Scaling limit of DLA on a long line segment
Yingxin Mu, Eviatar B. Procaccia, Yuan Zhang
In this paper, we prove that the bulk of DLA starting from a long line segment on the -axis has a scaling limit to the stationary DLA process (SDLA). The main phenomenological d…
Collective Description of Density Matrix of Identical Multi-level Atoms for Superradiance
Yuan Zhang
A collective description of density matrix is presented for identical multi-level atoms, which are either excited initially, driven coherently or pumped incoherently. The density m…
Percolation for the Finitary Random interlacements
Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang
In this paper, we prove a phase transition in the connectivity of Finitary Random interlacements in , with respect to the average stopping time.…
Stationary DLA is well defined
Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang
In this paper, we construct an infinite stationary Diffusion Limited Aggregation (SDLA) on the upper half planar lattice, growing from an infinite line, with local growth rate prop…