List of symbols and acronyms - Noise-induced Phenomena in the Environmental Sciences - page 289

Appendix C

List of symbols and acronyms

C.1 Greek symbols

α average of the random heights of jumps in the compound

Poisson process

γ growth factor

[ · ] gamma function

δ [ · ] Dirac delta function

1 , states of dichotomic noise 2

θ threshold value

[ · ] unit step function

κ 1dn , κ first and second cumulants of dichotomous noise 2dn

κ 1gn , κ first and second cumulants of Gaussian white noise 2gn

κ κ

1sn , first and second cumulants of shot noise 2sn

λ

rate of the shot-noise process

ξ noise term

ξ cn Gaussian colored-noise process

ξ dn dichotomous-noise process

ξ gn Gaussian-white-noise process

ξ ou Ornstein-Uhlenbeck process

ξ per ( t ) periodical zero-mean forcing

ξ sn shot-noise process

ξ sn zero-average shot-noise process

ρ ( · ) drift term in the additive-shot-noise process

τ 1 , τ 2 mean permanence time in a state of the dichotomic noise

τ c relaxation time

τ correlation time of the Ornstein-Uhlenbeck process

ou

φ state variable

φ mode or antimode of the steady-state pdf of φ m

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