Asymptotic behavior of multitype Galton-Watson processes

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Local Large Deviations, McMillian Theorem for multitype Galton-Watson Processes

Abstract. In this article we prove a local large deviation principle (LLDP) for the critical multitype Galton-Watson process from spectral potential point. We define the so-called a spectral potential UK( ·, π) for the Galton-Watson process, where π is the normalized eigen vector corresponding to the leading Perron-Frobenius eigen value 1l of the transition matrix A(·, ·) defined from K, the tr...

متن کامل

Asymptotic Behavior of Multi-type Nearly Critical Galton–watson Processes with Immigration

where {ξn,j , εn: n, j ∈ N} are independent random variables with nonnegative integer values such that for each n ∈ N, {ξn,j : j ∈ N} are identically distributed. We can interpret Xn as the number of individuals in the n-th generation of a population, ξn,j is the number of offsprings produced by the j-th individual belonging to the (n− 1)-th generation, and εn is the number of immigrants in the...

متن کامل

Invariance principles for spatial multitype Galton-Watson trees

We prove that critical multitype Galton-Watson trees converge after rescaling to the Brownian continuum random tree, under the hypothesis that the offspring distribution has finite covariance matrices. Our study relies on an ancestral decomposition for marked multitype trees. We then couple the genealogical structure with a spatial motion, whose step distribution may depend on the structure of ...

متن کامل

Martin-Löf randomness and Galton-Watson processes

The members of Martin-Löf random closed sets under a distribution studied by Barmpalias et al. are exactly the infinite paths through Martin-Löf random Galton–Watson trees with survival parameter 2 3 . To be such a member, a sufficient condition is to have effective Hausdorff dimension strictly greater than γ = log2 3 2 , and a necessary condition is to have effective Hausdorff dimension greate...

متن کامل

Galton–Watson branching processes and the growth of gravitational clustering

The Press–Schechter description of gravitational clustering from an initially Poisson distribution is shown to be equivalent to the well studied Galton–Watson branching process. This correspondence is used to provide a detailed description of the evolution of hierarchical clustering, including a complete description of the merger history tree. The relation to branching process epidemic models m...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Kyoto Journal of Mathematics

سال: 1975

ISSN: 2156-2261

DOI: 10.1215/kjm/1250523066