Drunkard's Walk

GPTKB entity

Statements (36)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
random walk
gptkbp:describes path consisting of a succession of random steps
gptkbp:dimensions can be defined in 1D, 2D, or higher dimensions
gptkbp:example discrete-time stochastic process
simple random walk
gptkbp:field gptkb:probability_theory
stochastic processes
gptkbp:firstDescribed 1905
gptkbp:generalizes gptkb:Brownian_motion_(in_continuous_limit)
gptkbp:hasApplication population genetics
search algorithms
stock market modeling
random search
modeling diffusion
polymer chain modeling
gptkbp:hasProperty memoryless
stationary increments
expected displacement is zero in symmetric case
symmetric or asymmetric steps
variance increases with time
https://www.w3.org/2000/01/rdf-schema#label Drunkard's Walk
gptkbp:relatedTo gptkb:Wiener_process
gptkb:random_walk_hypothesis
gptkb:central_limit_theorem
gptkb:law_of_large_numbers
Brownian motion
Markov chain
gptkbp:studiedBy gptkb:Karl_Pearson
gptkbp:usedIn gptkb:mathematics
biology
computer science
finance
physics
gptkbp:bfsParent gptkb:Frederik_Pohl
gptkbp:bfsLayer 5