Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 7 of 7 for “"Bond percolation"”.
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A statistical theory of the epilepsies
… epilepsies is proposed, based on the theory of bond percolation on finite lattices. Within this model, the onset of seizures in the brain is identified with the appearance of spanning clusters of neurons engaged in the spurious and uncontrollable electrical activity characteristic of seizures. …
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Pinning control of disease networks
… from the statistical physics technique known as bond percolation. Once the average transmissibility is known, node-, network- and population mass-action models can be measured for incidence. Two selective pinning control strategies, namely proportional feedback and nonlinear model predictive …
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Caging and Transport in Simple Disordered Systems
… transport. In particular, seemingly incompatible percolation and mean-field caging descriptions on the localization transition call for better understanding both. In light of this fundamental inconsistency, we study the caging and transport of a series of simple disordered systems.</p><p>We first …
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Superprobability on Graphs
… simple terms, it can be defined to be Bernoulli bond percolation with parameter $p = \frac{\beta}{1 + \beta}$ conditioned to be acyclic, or as the $q\to 0$ limit with $p = \beta q$ of the random cluster model. It is known that on the complete graph $K_{N}$ with $\beta=\alpha/N$ there is a phase …
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Metal-insulator transition in yttrium- and neodymium-doped lanthanum nickelates
Discovery of high-temperature superconductivity (SC) in (La,Ba)₂CuO₄ opened many lines of investigation into similar perovskite-related compounds, such as the square-planar “infinite-layer” superconductor, Sr₁₋ₓRₓCuO₂ (R = rare-earth element). Until recently, SC had not yet been found in any …
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Mixing of random walks on random graphs and intersections of branching random walks
… of the infinite incipient cluster of a critical bond percolation. As a step towards understanding the geometry of the range of a branching random walk, we study the intersection between two such walks. In 8 dimensions, which is the critical dimension for this question, we establish the precise …
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Extremal, Probabilistic, and Infinitary Problems in Combinatorics
… can be zero. The final two chapters concern percolation on finite graphs. Percolation is a topic of central importance to probability theory, and we consider two different problems in this area. In Chapter 6, we consider the bunkbed conjecture, which has featured in the folklore of …