scholarly journals Survival of inhomogeneous Galton-Watson processes

2008 ◽  
Vol 40 (03) ◽  
pp. 798-814
Author(s):  
Erik Broman ◽  
Ronald Meester
Keyword(s):  
Uniform Convergence ◽  
Growth Rates ◽  
Survival Probability ◽  
Critical Value ◽  
Random Trees ◽  
Family Tree ◽  
Percolation Clusters ◽  
The Family ◽  
Watson Process ◽  
The Way

We study the survival properties of inhomogeneous Galton-Watson processes. We determine the so-called branching number (which is the reciprocal of the critical value for percolation) for these random trees (conditioned on being infinite), which turns out to be an almost sure constant. We also shed some light on the way in which the survival probability varies between the generations. When we perform independent percolation on the family tree of an inhomogeneous Galton-Watson process, the result is essentially a family of inhomogeneous Galton-Watson processes, parameterized by the retention probability p. We provide growth rates, uniformly in p, of the percolation clusters, and also show uniform convergence of the survival probability from the nth level along subsequences. These results also establish, as a corollary, the supercritical continuity of the percolation function. Some of our results are generalizations of results in Lyons (1992).

scholarly journals Survival of inhomogeneous Galton-Watson processes

2008 ◽  
Vol 40 (3) ◽  
pp. 798-814
Author(s):  
Erik Broman ◽  
Ronald Meester
Keyword(s):  
Uniform Convergence ◽  
Growth Rates ◽  
Survival Probability ◽  
Critical Value ◽  
Random Trees ◽  
Family Tree ◽  
Percolation Clusters ◽  
The Family ◽  
Watson Process ◽  
The Way

We study the survival properties of inhomogeneous Galton-Watson processes. We determine the so-called branching number (which is the reciprocal of the critical value for percolation) for these random trees (conditioned on being infinite), which turns out to be an almost sure constant. We also shed some light on the way in which the survival probability varies between the generations. When we perform independent percolation on the family tree of an inhomogeneous Galton-Watson process, the result is essentially a family of inhomogeneous Galton-Watson processes, parameterized by the retention probability p. We provide growth rates, uniformly in p, of the percolation clusters, and also show uniform convergence of the survival probability from the nth level along subsequences. These results also establish, as a corollary, the supercritical continuity of the percolation function. Some of our results are generalizations of results in Lyons (1992).

On the number of terminal vertices in certain random trees with an application to stemma construction in philology

1982 ◽  
Vol 19 (3) ◽  
pp. 675-680 ◽  
Author(s):  
D. Najock ◽  
C. C. Heyde
Keyword(s):  
Probabilistic Model ◽  
Random Trees ◽  
Rooted Trees ◽  
Random Tree ◽  
Family Tree ◽  
Model Based ◽  
The Family ◽  
Ancient Manuscripts

A fundamental task of philologists is to construct the family tree (stemma) of preserved copies of ancient manuscripts. A simple probabilistic model based on random rooted trees is proposed to assist in the identification of the number of terminal copies. The model provides the distribution of the number of terminal vertices in a random tree. An application to stemma construction is given.

scholarly journals Sea Imagery in Hala Alyan’s Salt Houses

2020 ◽  
Vol 35 (1) ◽  
pp. 23-43
Author(s):  
Yousef Awad
Keyword(s):  
Family Tree ◽  
The Novel ◽  
The Family ◽  
The Right ◽  
Unborn Baby ◽  
Insight Into ◽  
The Way

Abstract This article examines how Palestinian American novelist Hala Alyan employs sea imagery in her debut novel Salt Houses (2017) to reflect her characters’ emotions and thoughts. In particular, this article shows that by examining a number of events in which characters are sitting by the sea or wading into the waters of the sea, the reader is given an insight into these characters’ inner feelings and beliefs and the way they perceive their identities and contextualise their experiences as they move from one city to another. As the novel relates the narratives of four generations of a Palestinian family, sometimes using flashbacks, sea imagery increasingly occupies central positions in these narratives which reveal Alia’s and her descendants’ endeavours to express their opinions through memories and experiences of displacement, exile and estrangement. Although the title of the novel rightly heralds the significance of houses, it is the sea that forcefully emerges as a pivotal component in the narratives that these characters relate in their quests for a homeland that lives in the older generation’s memories and the young people’s imaginations. As Alia’s granddaughter, Manar, visits Palestine in the final chapter of the novel and draws the family tree of the Yacoubs on Jaffa’s beach, including her unborn baby, memories and imaginations merge to assert the right of Palestinians to “belong” to their homeland.

On the number of terminal vertices in certain random trees with an application to stemma construction in philology

1982 ◽  
Vol 19 (03) ◽  
pp. 675-680 ◽  
Author(s):  
D. Najock ◽  
C. C. Heyde
Keyword(s):  
Probabilistic Model ◽  
Random Trees ◽  
Rooted Trees ◽  
Random Tree ◽  
Family Tree ◽  
Model Based ◽  
The Family ◽  
Ancient Manuscripts

A fundamental task of philologists is to construct the family tree (stemma) of preserved copies of ancient manuscripts. A simple probabilistic model based on random rooted trees is proposed to assist in the identification of the number of terminal copies. The model provides the distribution of the number of terminal vertices in a random tree. An application to stemma construction is given.

scholarly journals Historical-Linguistic Research of the Name of the Rachmaninov’s Clan: from the Indian Brahmans to the Russian Rachmaninov

2020 ◽  
Vol 8 (1) ◽  
pp. 116
Author(s):  
Tamara V. Parshina
Keyword(s):  
Historical Linguistic ◽  
Historical Documents ◽  
Family Tree ◽  
Literary Language ◽  
Russian People ◽  
Linguistic Research ◽  
The People ◽  
The Family ◽  
The Way

The article is about the roots of the word Rachmaninov and the people who established this clan in Russia. Analysis of the famous theory about the royal roots of the Rachmaninov clan failed to be proved, neither historical facts nor their dates could be proved with the historical documents. The information which is used by the contemporary authors was taken from the S. A. Satina article, who, in her turn, relied on the book by some I. I. Rachmaninov, published in 1895 in Kiev. But there was no such the author, his real name was N. P. Vasilenko. The genuine information was found in the family tree of the Tambov’s branch of Rachmaninovs. The author studied the way of transformation of the original word “Brahman” to the Russian family name. The word belongs to the Hindu literary language saṃskṛta, goes back to the XX century BC with the meaning “the name of Hindu priests serving their God Brahma”. The word got to the Russian lands by the end of X century AC, was used in the Russian religion books, became customary for the Russian people with the meaning of “the dweller of the land near Eden”. When the clan of Moldovian noblemen arrived to Moscovia, the native Russians called them RACHMANs and later changed the name according to the Russian morphological rules for RACHMANINOV with the meaning “the son of Rachman”.

Eight Drives and the Family Tree

1967 ◽  
Vol 12 (1) ◽  
pp. 6-8
Author(s):  
SUSAN DERI
Keyword(s):  
Family Tree ◽  
The Family

The family tree

1997 ◽  
Author(s):  
Frank Landy
Keyword(s):  
Family Tree ◽  
The Family

Disease in the family in terms of contemporary literature for children

2014 ◽  
Vol 4 (1) ◽  
pp. 43-54
Author(s):  
Jowita Gromysz
Keyword(s):  
Young Children ◽  
Family Environment ◽  
Contemporary Literature ◽  
The Family ◽  
The Way

Summary Disease in the family is a literary motif used by many authors. The article contains a description of various ways of representing the disease in contemporary texts for young children. Pedagogical context of reading literary narratives refers to the way the rider repons to the text ( relevance to the age of the reader, therapeutic and educational function). The analyzed texts concern hospitalization, disability of siblings, parent’s cancer. There always relate to the family environment and show the changeability of roles and functions in family.

‘To wise for a woman’

2018 ◽  
Author(s):  
Nicola Clark
Keyword(s):  
Marital Problems ◽  
The Core ◽  
The Family ◽  
Made In ◽  
The Way

While there were clear strategic aims in the way that marriages were made in the Howard dynasty during this period, the family was only unusual in that it operated at the very top of the aristocratic hierarchy and was therefore able to use marital alliances to successfully recover and bolster both status and finances. Where they were different, however, was in the experience of some of these women within marriage. By and large, the marriages made by and for members of the family, including women, seem to have been as successful as others of their class. However, three women close to the core of the dynasty experienced severe marital problems, even ‘failed’ marriages, almost simultaneously during the 1520s and 1530s. The records generated by these episodes tell us about the way in which the family operated as a whole, and the agency of women in this context, and this chapter therefore reconstructs these disputes for this purpose.

Indicators and Dynamics of Formation A Healthy Lifestyle for Junior High School Students

2020 ◽  
pp. 92-98
Author(s):  
Yeng Chen Mong
Keyword(s):  
High School Students ◽  
Healthy Lifestyle ◽  
Individual Characteristics ◽  
Reference Points ◽  
Children's Health ◽  
Children’S Health ◽  
Way Of Life ◽  
The Family ◽  
Educational Potential ◽  
The Way

In the context of deep social and economic transformations in the country, the contradiction between the growing need of the society for active and healthy people and the catastrophic deterioration of children’s health becomes more acute. Complex studies show that the chronic pathology of schoolchildren is at an extremely high level. Against the backdrop of social insecurity, the problem of alcoholization and drug addiction of children and adolescents is growing, which poses a threat of moral decay to young people. Children’s health is affected by a number of negative factors: a decline in the standard of living in the country as a whole, a widespread deterioration of the environmental situation, and negative changes in the financial situation and the educational potential of the family. Unfortunately, the share of guilt for the current situation today is assigned to the school, which does not meet the modern requirements of hygiene and natural sciences of age physiology, causes disruption of adaptation, chronic fatigue of children and provokes the growth of diseases. Educational potential of school is considerably reduced: “...educational practice stays in a condition of influence on it of casual reference points, elements of positive, and even more negative, influences and uncontrollability”. In these conditions, the problem of maintaining health and education for a healthy lifestyle in schoolchildren is of particular interest to researchers. In the process of upbringing of children of primary school age the role of significant others - teachers and parents - is great. However, for the effectiveness of education for a healthy lifestyle is not enough readiness of the teacher, as the categories of lifestyle, lifestyle is largely associated with the family, with the way of life, with traditions, with the way of life of parents. Parents act as a role model for younger students, so in the process of upbringing important factors are personal, purely individual characteristics of parents, which include health status, physical culture, and attitude to health, culture of communication, ethical culture and experience of a healthy lifestyle.

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