ENTROPY, SPEED AND SPECTRAL RADIUS OF RANDOM WALKS
... where ⊕ is componentwise sum mod 2 and (x + ξ)(g) := ξ(g − x). We will consider random walks with distribution supported by the symmetric generating set S = {(0, 1), (0, −1), (χ0 , 0)}, where χ0 is the characteristic function of {0}. The way one really should think about this random walk is to imagi ...
... where ⊕ is componentwise sum mod 2 and (x + ξ)(g) := ξ(g − x). We will consider random walks with distribution supported by the symmetric generating set S = {(0, 1), (0, −1), (χ0 , 0)}, where χ0 is the characteristic function of {0}. The way one really should think about this random walk is to imagi ...
Understanding Probability and Long-Term
... Example: assume coins made such that they are equally likely to land with heads or tails up when flipped - probability of a flipped coin showing heads up is ½. ...
... Example: assume coins made such that they are equally likely to land with heads or tails up when flipped - probability of a flipped coin showing heads up is ½. ...
Approximations of upper and lower probabilities by measurable
... Remark 1. It is important to remark here that, due to our interpretation of random sets as a model for the imprecise observation of a random variable, in our developments we shall always assume that: (i) the initial probability space is fixed, and (ii) that the measurable selections have to take ima ...
... Remark 1. It is important to remark here that, due to our interpretation of random sets as a model for the imprecise observation of a random variable, in our developments we shall always assume that: (i) the initial probability space is fixed, and (ii) that the measurable selections have to take ima ...
