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  2. Random walk - Wikipedia

    en.wikipedia.org/wiki/Random_walk

    A popular random walk model is that of a random walk on a regular lattice, where at each step the location jumps to another site according to some probability distribution. In a simple random walk, the location can only jump to neighboring sites of the lattice, forming a lattice path. In a simple symmetric random walk on a locally finite ...

  3. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The Dirac delta function, although not strictly a probability distribution, is a limiting form of many continuous probability functions. It represents a discrete probability distribution concentrated at 0 — a degenerate distribution — it is a Distribution (mathematics) in the generalized function sense; but the notation treats it as if it ...

  4. Lévy flight - Wikipedia

    en.wikipedia.org/wiki/Lévy_flight

    A Lévy flight is a random walk in which the step-lengths have a stable distribution, [1] a probability distribution that is heavy-tailed. When defined as a walk in a space of dimension greater than one, the steps made are in isotropic random directions. Later researchers have extended the use of the term "Lévy flight" to also include cases ...

  5. The Drunkard's Walk - Wikipedia

    en.wikipedia.org/wiki/The_Drunkard's_Walk

    The Drunkard's Walk discusses the role of randomness in everyday events, and the cognitive biases that lead people to misinterpret random events and stochastic processes. The title refers to a certain type of random walk, a mathematical process in which one or more variables change value under a series of random steps.

  6. Probability distribution - Wikipedia

    en.wikipedia.org/wiki/Probability_distribution

    Discrete probability distribution: for many random variables with finitely or countably infinitely many values. Probability mass function (pmf): function that gives the probability that a discrete random variable is equal to some value. Frequency distribution: a table that displays the frequency of various outcomes in a sample.

  7. Maximal entropy random walk - Wikipedia

    en.wikipedia.org/wiki/Maximal_Entropy_Random_Walk

    Maximal entropy random walk (MERW) is a popular type of biased random walk on a graph, in which transition probabilities are chosen accordingly to the principle of maximum entropy, which says that the probability distribution which best represents the current state of knowledge is the one with largest entropy.

  8. 10,000 Steps Per Day Is A Myth—So How Much Should You Really ...

    www.aol.com/10-000-steps-per-day-120000168.html

    How Many Miles You Should Walk Per Day For Overall Well-Being. On the low end, anything above 2,200 steps (which is roughly a little over a mile, assuming that 2,000 steps is roughly one mile) ...

  9. Self-avoiding walk - Wikipedia

    en.wikipedia.org/wiki/Self-avoiding_walk

    The pivot algorithm works by taking a self-avoiding walk and randomly choosing a point on this walk, and then applying symmetrical transformations (rotations and reflections) on the walk after the n th step to create a new walk. Calculating the number of self-avoiding walks in any given lattice is a common computational problem. There is ...