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Preface to the Second Edition. Preface to the First Edition. Suggestions of Topics for Instructors. List of Experiments and Data Sets. 1 Basic Concepts for Experimental Design and Introductory Regression Analysis.
C. F. J. Wu, M. Hamada
semanticscholar +1 more source
Monte Carlo Tests of SLE Predictions for the 2D Self-Avoiding Walk
The conjecture that the scaling limit of the two-dimensional self-avoiding walk (SAW) in a half plane is given by the stochastic Loewner evolution (SLE) with $\kappa=8/3$ leads to explicit predictions about the SAW.
A. D. Sokal+8 more
core +1 more source
The Threshold Probability for Long Cycles [PDF]
For a given graph G of minimum degree at least k, let Gp denote the random spanning subgraph of G obtained by retaining each edge independently with probability p = p(k).
Roman Glebov, Humberto Naves, B. Sudakov
semanticscholar +1 more source
Simulations of the self-avoiding walk (SAW) are performed in a half-plane and a cut-plane (the complex plane with the positive real axis removed) using the pivot algorithm.
Kennedy, Tom
core +2 more sources
Spectral Radius of Biased Random Walks on Regular Trees [PDF]
We consider biased random walk on regular tree and we obtain the spectral radius, first return probability and $n$-step transition probability.
arxiv
q-probability: I. Basic discrete distributions [PDF]
For basic discrete probability distributions, $-$ Bernoulli, Pascal, Poisson, hypergeometric, contagious, and uniform, $-$ $q$-analogs are proposed.
arxiv +1 more source
Inhomogeneous exponential jump model
We introduce and study the inhomogeneous exponential jump model - an integrable stochastic interacting particle system on the continuous half line evolving in continuous time.
Borodin, Alexei, Petrov, Leonid
core +1 more source
Covariance matrices of self-affine measures [PDF]
In this paper we derive a formula for a covariance matrix of any self-affine measure.
arxiv +1 more source
Exact lower bound on an "exactly one" probability [PDF]
The exact lower bound on the probability of the occurrence of exactly one of $n$ random events each of probability $p$ is obtained.
arxiv
Finding maxmin allocations in cooperative and competitive fair division
We consider upper and lower bounds for maxmin allocations of a completely divisible good in both competitive and cooperative strategic contexts. We then derive a subgradient algorithm to compute the exact value up to any fixed degree of precision.Comment:
Camilla Di Luca+15 more
core +1 more source