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PERCOLATION OF FINITE CLUSTERSAND INFINITE SURFACES GEOFFREY R.…
www.statslab.cam.ac.uk/~grg/papers/plaq-final.pdf7 Mar 2013: n. Then pFc < pSfin(F ). Proof of Theorem 1.1. When d 19 and S = F = 0, (4.3) is proved in[20]. ... 20] G. Kozma and A. Nachmias, Arm exponents in high dimensional percolation,J. -
Markov Chains These notes contain material prepared by colleagues ...
www.statslab.cam.ac.uk/~rrw1/markov/M.pdf22 May 2013: 20. 6 Random walks in dimensions one, two and three. 6.1 Simple random walk on Z. -
Advanced Probability Perla Sousi∗ December 17, 2011 Contents 1 ...
www.statslab.cam.ac.uk/~ps422/notes-2011.pdf10 Oct 2013: 20. 2.7 Uniformly integrable martingales. 21. 2.8 Backwards martingales. 23. 2.9 Applications of martingales. ... Xn‖p p. p 1‖Xn‖p,. 20. where recall that Xn = supkn |Xk|. -
Universality for bond percolation in two dimensions
www.statslab.cam.ac.uk/~grg/papers/AOP740.pdf12 Sep 2013: A different extension of the star–triangle method has been the subject of workdescribed in [2, 19, 20]. -
Tutorial Bandit Processes and Index Policies Richard Weber,…
www.statslab.cam.ac.uk/~rrw1/talks/YETQweber2013.pdf14 Nov 2013: 20 / 52. Some constraints. Let xπi = Eπ(Ni)/µi be the mean work-in-system of class i. ... 20 / 52. A mathematical program. Consider the optimization problem. minimizeπ. -
Cluster detection in networks using percolation
www.statslab.cam.ac.uk/~grg/papers/BEJ412.pdf14 Mar 2013: Remember thatσ 20 denotes the variance of F0. Cluster detection in networks using percolation 681. ... Let θ (β) = inft γθ |t (β)/σ 20|t , where, in congruence with Sections 5.1 and 5.2,. -
A More General Pandora’s Rule Richard Weber, University of ...
www.statslab.cam.ac.uk/~rrw1/talks/LSEseminar13113.pdf14 Nov 2013: Is a generalization of Pandora rule evaporating? 20/57 ,. Yet even more necessity! ... Is a generalization of Pandora rule evaporating? 20/57 ,. Sufficiency. Theorem 1 Suppose u has the form described as necessary, i.e. -
Inhomogeneous bond percolation on square, triangular and hexagonal…
www.statslab.cam.ac.uk/~grg/papers/AOP729.pdf3 Jul 2013: Furthermore, work ofKesten [20] on scaling theory has provided the groundwork for exact calculationsof critical exponents for two-dimensional percolation (see [23, 29], e.g.). -
Noname manuscript No.(will be inserted by the editor) Bond ...
www.statslab.cam.ac.uk/~grg/papers/iso-final6.pdf21 May 2013: This is a continuation and extension of the work begun in [19,20]. ... substance. Therefore, further discussion is omitted, andthe reader is referred instead to [20, Sect. -
Optimization and Control Contents Table of Contents i Schedules ...
www.statslab.cam.ac.uk/~rrw1/oc/oc2013.pdf22 May 2013: 19. 5.5 Example: optimal parking. 20. i. 6 Optimal Stopping Problems 21. ... 20. 6 Optimal Stopping Problems. More on stopping problems and their solution.
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