Dear Aakanksha Sinha, I suggest a Gentrification Reader, https://www.amazon.com/Gentrification-Reader-Loretta-Lees/dp/0415548403#reader_0415548403. Best regards, João Pedro
All work from Neil Smith! He has a particular approach to explain gentrification, based on a Rent-gap theory. This is not the only explanation existing on gentrification (multiple theories exists, and some of them play-out in reality at the same time, with different populations), but it is surely a very important one.
To diversify your readings by region, I suggest this article on Spain and Latin America: http://onlinelibrary.wiley.com/doi/10.1111/1468-2427.12030/abstract. Best wishes, João
Maybe: MENDES, Luís – “A nobilitação urbana no Bairro Alto: análise de um processo de recomposição sócio-espacial”, in Finisterra – Revista Portuguesa de Geografia, XLI (81), 2006, 57-82.
Cadernos Metrópole – Desenvolvimento desigual e gentrificação da cidade contemporânea. Volume 16 [32], São Paulo: Editora PUC-SP, 2014. Disponível em: http://docplayer.com.br/4757455-Cadernos-metropole-desenvolvimento-desigual-e-gentrificacao-da-cidade-contemporanea-issn-1517-2422-versao-impressa-issn-2236-9996-versao-on-line.html
Espaces et sociétés – La gentrification urbaine. Vol. 1-2 (n° 132-133), 2008:
BRIDGE, Gary; BUTLER, Tim; LEES, Loretta (ed.) – Mixed Communities: Gentrification by Stealth? The University of Chicago Press, Chicago, USA, 2012. ISBN 9781847424938.
Lees, Loretta, Slater, Tom, Wyly, Elvin (ed.). (2010). The Gentrification Reader. New York, NY: Routledge
A little bit more advanced:
Brown-Saracino, Japonica. (2009). A neighboord that never changes. Gentrification, social preservation, and the search for authenticity Chicago,IL: University of Chicago Press
Lees, Loretta, Slater, Tom, Wyly, Elvin (ed.). (2008). Gentrification. New York, NY: Routledge
I would also suggest to start with a Gentrification Reader that gathers articles and points of views from different authors, including the more "classics".
There are two types of neighborhood change by income class: filtering up and filtering down. Gentrification is filtering up. But analytically they are the same thing. Furthermore, they may both exhibit tipping points: that is, the change progresses gradually for awhile and then, all of a sudden, the change is complete. Why?
There is demand for housing in the subject neighborhood by each group. However, the height of the demand curve can depend on the quantity of the other group. You see, the lower income group does not favor proximity to the higher income group . . . in the context of discussing gentrification. So we need to trace out the path of demand with the quantity that exists. This path has a hump in it.
Begin by illustrating the two groups' demand curve on a Wicksteed type graph (with demand and reservation demand on the same figure. Now suppose that the neighborhood is 100% lower income. Then the other group begins to enter into the neighborhood. It does this as its demand curve is rising. Little by little the higher income group's rising demand curves intersect the path that is traced out by the shifting demand by the lower income group and the actual quantity of the other group.
At some point the demand by the higher income group is just tangent to the path for the lower income group. This is the tipping point. If the demand by the upper income group increases even a tiny amount, the entire rest of the neighborhood gentrifies immediately.
If you want to be more even-handed and illustrate a similar path for the higher income group, perhaps it should be a convex function, whereas it should be a concave function for the lower income group.