Levy flight and Levy random walks as nonlinear Brownian motion
開催期間
16:00 ~ 17:30
場所
講演者
概要
講演要旨:An original classification of random trajectories
formed by a Brownian particle whose motion is governed by
stochastic self-acceleration is constructed. In particular,
it enables us to determine the mechanism endowing the analyzed
continuous Markovian random walks with the characteristic
properties of Lévy flights or Lévy walks. Lévy flights appear
in the case when the particle velocity is governed by stochastic
self-acceleration, Lévy walks are the case when the particle
acceleration undergoes stochastic self-acceleration whereas
the particle velocity is approximately fixed in magnitude.
Besides, the constructed trajectory classification can be
regarded as a generalized continuous time random walks model.
(講演要旨のかわりに、お送りいただいた御講演に関連した論文のabstract
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