Salvador, Daniel (2017) A Study of Conductance for a Random, HierarchicallyStructured Material. Undergraduate thesis, under the direction of Jeremy Clark from Mathematics, The University of Mississippi.

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Abstract
I consider a mathematical model for the conductance of a system formed by a hi erarchical network of random bonds. My simulations show that the net conductance converges to a fixed number γ ≈ 0.35337 when the conductances of the bonds are num bers selected uniformly at random from the interval (0,1). By linearly approximating the model around γ, I derive a new simplified model which I then study in rigorous mathematical detail. I prove a generalized central limit theorem for the new linearized system.
Item Type:  Thesis (Undergraduate) 

Creators:  Salvador, Daniel 
Student's Degree Program(s):  B.S. in Mathematics 
Thesis Advisor:  Jeremy Clark 
Thesis Advisor's Department:  Mathematics 
Institution:  The University of Mississippi 
Subjects:  Q Science > QA Mathematics 
Depositing User:  Daniel Salvador 
Date Deposited:  12 May 2017 15:17 
Last Modified:  08 Jun 2017 13:47 
URI:  http://thesis.honors.olemiss.edu/id/eprint/892 
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