Exponential growth rates in a typed branching diffusion
نویسندگان
چکیده
منابع مشابه
Exponential Growth Rates in a Typed Branching Diffusion
We study the high temperature phase of a family of typed branching diffusions initially studied in [Astérisque 236 (1996) 133–154] and [Lecture Notes in Math. 1729 (2000) 239–256 Springer, Berlin]. The primary aim is to establish some almost-sure limit results for the longterm behavior of this particle system, namely the speed at which the population of particles colonizes both space and type d...
متن کاملExponential Growth Rates in a Typed Branching Diffusion by Y. Git,
We study the high temperature phase of a family of typed branching diffusions initially studied in [Astérisque 236 (1996) 133–154] and [Lecture Notes in Math. 1729 (2000) 239–256 Springer, Berlin]. The primary aim is to establish some almost-sure limit results for the long-term behavior of this particle system, namely the speed at which the population of particles colonizes both space and type ...
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In this paper we will study the dynamics of the periodic asymmetric oscillator x′′ + q(t)x+ + q−(t)x− = 0, where q, q− ∈ L(R/2πZ) and x+ = max(x, 0), x− = min(x, 0) for x ∈ R. It will be proved that the exponential growth rate χ(x) := lim t→+∞ 1 t log √ (x(t))2 + (x′(t))2 does exist for each non-zero solution x(t) of the oscillator. The properties of these rates, or the Lyapunov exponents, will...
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Let X be either the branching diffusion corresponding to the operator Lu + β(u2 − u) on D ⊆ Rd [where β(x) ≥ 0 and β ≡ 0 is bounded from above] or the superprocess corresponding to the operator Lu + βu − αu2 on D ⊆ Rd (with α > 0 and β is bounded from above but no restriction on its sign). Let λc denote the generalized principal eigenvalue for the operator L + β on D. We prove the following dic...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2007
ISSN: 1050-5164
DOI: 10.1214/105051606000000853