Strong embedding and weak embedding

Author(s):  
Tuna Altınel ◽  
Alexandre Borovik ◽  
Gregory Cherlin
Keyword(s):  
1985 ◽  
Vol 58 (12) ◽  
pp. 3635-3636 ◽  
Author(s):  
Kazuya Kobiro ◽  
Mitsuru Takahashi ◽  
Shigeki Takada ◽  
Yoshinobu Odaira ◽  
Yoshikane Kawasaki

1974 ◽  
Vol s2-7 (3) ◽  
pp. 547-552
Author(s):  
G. N. Thwaites
Keyword(s):  

2019 ◽  
Vol 3 (5) ◽  
Author(s):  
Yanlong Liu ◽  
Byung-Ok Kim

At present, with the acceleration of urbanization and the strong embedding of foreign cultures, traditional urban culture faces serious threats and disintegration. Cultural faults have become a common problem in Chinese cities. As one of the four centrally administered municipalities in China, Chongqing has a history of two thousand years. In recent years, with the development of modernization, Chongqing’s original unique regional urban characteristics are gradually disappearing. This paper selects the most representative urban landscape of Chongqing as the research object. The purpose of this paper is to find out the phenomenon of cultural regeneration of Chongqing Bayu culture in modern landscape design, and to find out the method of cultural regeneration of traditional Bayu culture in modern landscape. In order to achieve this goal, this paper uses the research method of case investigation. First, select the landscape of the Three Gorges Square, which best represents the image of Chongqing city, for investigation. Then through the on-the-spot investigation, shooting records, conversation records and other forms, the investigation found out the phenomenon of the regeneration of Chongqing Bayu culture in the square landscape, and finally, by analyzing the phenomena appearing in the landscape of these Bayu cultures, the traditional methods of cultural regeneration in the modern landscape can be analyzed.


2021 ◽  
Vol 58 (4) ◽  
pp. 851-867
Author(s):  
Xiao Fang ◽  
Han L. Gan ◽  
Susan Holmes ◽  
Haiyan Huang ◽  
Erol Peköz ◽  
...  

AbstractA classical result for the simple symmetric random walk with 2n steps is that the number of steps above the origin, the time of the last visit to the origin, and the time of the maximum height all have exactly the same distribution and converge when scaled to the arcsine law. Motivated by applications in genomics, we study the distributions of these statistics for the non-Markovian random walk generated from the ascents and descents of a uniform random permutation and a Mallows(q) permutation and show that they have the same asymptotic distributions as for the simple random walk. We also give an unexpected conjecture, along with numerical evidence and a partial proof in special cases, for the result that the number of steps above the origin by step 2n for the uniform permutation generated walk has exactly the same discrete arcsine distribution as for the simple random walk, even though the other statistics for these walks have very different laws. We also give explicit error bounds to the limit theorems using Stein’s method for the arcsine distribution, as well as functional central limit theorems and a strong embedding of the Mallows(q) permutation which is of independent interest.


Urban Studies ◽  
2021 ◽  
pp. 004209802110410
Author(s):  
Tine Buffel ◽  
Sophie Yarker ◽  
Chris Phillipson ◽  
Luciana Lang ◽  
Camilla Lewis ◽  
...  

This paper develops the argument that post-COVID-19 recovery strategies need to focus on building back fairer cities and communities, and that this requires a strong embedding of ‘ age-friendly’ principles to support marginalised groups of older people, especially those living in deprived urban neighbourhoods, trapped in poor quality housing. It shows that older people living in such areas are likely to experience a ‘double lockdown’ as a result of restrictions imposed by social distancing combined with the intensification of social and spatial inequalities. This argument is presented as follows: first, the paper examines the disproportionate impact of COVID-19 on older people, highlighting how the pandemic is both creating new and reinforcing existing inequalities in ageing along the lines of gender, class, ethnicity, race, ability and sexuality. Second, the paper explores the role of spatial inequalities in the context of COVID-19, highlighting how the pandemic is having a disproportionate impact on deprived urban areas already affected by cuts to public services, the loss of social infrastructure and pressures on the voluntary sector. Finally, the paper examines how interrelated social inequalities at both the individual and spatial level are affecting the lives of older people living in deprived urban neighbourhoods during the pandemic. The paper concludes by developing six principles for ‘age-friendly’ community recovery planning aimed at maintaining and improving the quality of life and wellbeing of older residents in the post-pandemic city.


Author(s):  
Prakash Chakraborty ◽  
Harsha Honnappa

In this paper, we establish strong embedding theorems, in the sense of the Komlós-Major-Tusnády framework, for the performance metrics of a general class of transitory queueing models of nonstationary queueing systems. The nonstationary and non-Markovian nature of these models makes the computation of performance metrics hard. The strong embeddings yield error bounds on sample path approximations by diffusion processes in the form of functional strong approximation theorems.


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