Topics in stochastic processes with special reference to first passage percolation theory
<p>First passage percolation theory in its most general form is the randomised version of the well-known shortest route problem. It thus has several important physical applications. Ordinary percolation theory is but a special case of this more general problem which we formulate as follows. &l...
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| Format: | Thèse |
| Langue: | English |
| Publié: |
1964
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| Résumé: | <p>First passage percolation theory in its most general form is the randomised version of the well-known shortest route problem. It thus has several important physical applications. Ordinary percolation theory is but a special case of this more general problem which we formulate as follows. </p>
<p>To each arc of an arbitrary, countably infinite, connected graph we independently assign a non-negative random variable called the time coordinate of that arc. This assignment of random variables induces a time state 'w' on g. The 'length' of any path of g is the sum of the time coordinates of its component arcs.</p>
<p>[This abstract continues in the thesis file.]</p> |
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