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We give an algorithm that computes the final state of certain growth models without computing all intermediate states. Our technique is based on a “least action principle” which characterizes the odom...
A recent exponent inequality is applied to a number of dynamical growth models. Many of the known exponents for models such as the Kardar-Parisi-Zhang (KPZ) equation are shown to be consistent with th...
Quantitative Genetics and Functional-Structural Plant Growth Models: Simulation of Quantitative Trait Loci Detection for Model Parameters and Application to Potential Yield Optimization
Quantitative Genetics Functional-Structural Plant Growth Models Simulation Quantitative Trait Loci Detection Model Parameters Application Potential Yield Optimization
2010/11/16
Background and Aims: Prediction of phenotypic traits from new genotypes under untested environmental conditions is crucial to build simulations of breeding strategies to improve target traits. Althou...
Properties of the limit shape for some last passage growth models in random environments
corner growth model random environment limit shape last passage percolation
2010/12/13
We study directed last passage percolation on the first quadrant of the planar square lattice whose weights have general distributions, or equivalently, · /G/1 queues in series.The service time distri...
From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
internal diffusion limited aggregation cluster growth
2010/12/6
We consider a family of cluster growth models on Zd, which generalize internal diffusion limited aggregation (internal DLA). The latter model is simplest to describe:random walks start at the origin, ...
Examples of non-polygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
Examples of non-polygonal infinite coexistence spatial growth models
2010/12/6
We construct an edge-weight distribution for i.i.d. first-passage percolation on Z2 whose limit shape is not a polygon and has extreme points which are arbitrarily dense in the boundary. Consequently,...