Scaling Limit for a Drainage Network Model
نویسندگان
چکیده
منابع مشابه
Scaling limit for a drainage network model
We consider the two dimensional version of a drainage network model introduced by Gangopadhyay, Roy and Sarkar, and show that the appropriately rescaled family of its paths converges in distribution to the Brownian web. We do so by verifying the convergence criteria proposed by Fontes, Isopi, Newman and Ravishankar.
متن کاملSteady State and Scaling Limit for a Traffic Congestion Model
In a general model (AIMD) of transmission control protocol (TCP) used in internet traffic congestion management, the time dependent data flow vector x(t) > 0 undergoes a biased random walk on two distinct scales. The amount of data of each component xi(t) goes up to xi(t) + a with probability 1 − ζi(x) on a unit scale or down to γxi(t), 0 < γ < 1 with probability ζi(x) on a logarithmic scale, w...
متن کاملA 2d Dynamic Pore Network Model for Modeling Primary Drainage
We present a dynamic network model to investigate the effects of capillary number and viscosity ratio on displacement patterns and fractional flow in primary drainage. This model predicts the events that are observed in the micro-model experiments, such as swelling of the wetting layers and the meniscus oscillation. Interfaces are tracked through the pore elements using a modified Poiseuille eq...
متن کاملA Gis Network Model for Sugarcane Field Drainage Management
This paper reports a current GIS research project which is being undertaken in the Tweed area of north coast New South Wales. The project focuses on drainage management problems which are of increasing concern for land and environmental management for the sugar industry in this area. GIS network capabilities are employed with enhancements of specific needs for the drainage simulation. Natural a...
متن کاملQuantum Diffusion for the Anderson Model in the Scaling Limit
We consider random Schrödinger equations on Zd for d ≥ 3 with identically distributed random potential. Denote by λ the coupling constant and ψt the solution with initial data ψ0. The space and time variables scale as x ∼ λ−2−κ/2, t ∼ λ−2−κ with 0 < κ < κ0(d). We prove that, in the limit λ → 0, the expectation of the Wigner distribution of ψt converges weakly to a solution of a heat equation in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2009
ISSN: 0021-9002,1475-6072
DOI: 10.1239/jap/1261670696