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Concept
Lévy Flights
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Summary
Lévy Flights
are a type of
Random Walk
where the
Step lengths
have a
Probability Distribution
that is heavy-tailed, often following a
Power Law
, which allows for occasional
Long jumps
. This model is used to describe various phenomena in nature and human activities, such as
Animal foraging patterns
,
Financial market fluctuations
, and the
Spread of epidemics
, due to its ability to
Efficiently explore space
and
Optimize search strategies
.
Concepts
Random Walk
Heavy-Tailed Distribution
Power Law
Stochastic Processes
Fractal Geometry
Anomalous Diffusion
Scale Invariance
Markov Processes
Self-similarity
Non-Gaussian Processes
Non-Gaussian Statistics
Superdiffusion
Continuous Time Random Walk
Anomalous Transport
Diffusion Exponent
Continuous-time Random Walk
Relevant Degrees
Nanotechnology 60%
Economic Theory and Concepts 40%
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