The fluctuations of the giant cluster for percolation on random split trees
نویسندگان
چکیده
A split tree of cardinality $n$ is constructed by distributing balls in a subset vertices an infinite which encompasses many types random trees such as $m$-ary search trees, quad median-of-$(2k+1)$ fringe-balanced digital and simplex trees. In this work, we study Bernoulli bond percolation on arbitrary large but finite $n$. We show for appropriate regimes that depend the there exists unique giant cluster, fluctuations size cluster $n \rightarrow \infty$ are described infinitely divisible distribution belongs to class stable Cauchy laws. This work generalizes results recursive Berzunza (2015). Our approach based remarkable decomposition sum essentially independent variables may be useful studying other with logarithmic height; instance also case regular
منابع مشابه
On the non-Gaussian fluctuations of the giant cluster for percolation on random recursive trees
We consider a Bernoulli bond percolation on a random recursive tree of size n ≫ 1, with supercritical parameter pn = 1 − c/ lnn for some c > 0 fixed. It is known that with high probability, there exists then a unique giant cluster of size Gn ∼ e−c, and it follows from a recent result of Schweinsberg [22] that Gn has non-gaussian fluctuations. We provide an explanation of this by analyzing the e...
متن کامل“the effect of risk aversion on the demand for life insurance: the case of iranian life insurance market”
abstract: about 60% of total premium of insurance industry is pertained?to life policies in the world; while the life insurance total premium in iran is less than 6% of total premium in insurance industry in 2008 (sigma, no 3/2009). among the reasons that discourage the life insurance industry is the problem of adverse selection. adverse selection theory describes a situation where the inf...
15 صفحه اولsurvey on the rule of the due & hindering relying on the sheikh ansaris ideas
قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...
15 صفحه اولOn the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees
We consider the simple random walk on the infinite cluster of the Bernoulli bond percolation of trees, and investigate the relation between the speed of the simple random walk and the retaining probability p by studying three classes of trees. A sufficient condition is established for Galton-Watson trees.
متن کاملthe impact of morphological awareness on the vocabulary development of the iranian efl students
this study investigated the impact of explicit instruction of morphemic analysis and synthesis on the vocabulary development of the students. the participants were 90 junior high school students divided into two experimental groups and one control group. morphological awareness techniques (analysis/synthesis) and conventional techniques were used to teach vocabulary in the experimental groups a...
15 صفحه اولذخیره 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: ALEA-Latin American Journal of Probability and Mathematical Statistics
سال: 2022
ISSN: ['1980-0436']
DOI: https://doi.org/10.30757/alea.v19-26