Usually, when we talk about gentrification, it is in terms of changes to the rental price as a result of changes in the local business environment, like firms opening and closing amd changes in wages; however, you are correct that the economics function roughly the same way when the government is raising property taxes to force a couple of empty nesters living off their 401k out of a 5 bedroom household to move to a 1 bedroom apartment as when an apartment complex is raising rents to force a young working family out of their two bedroom apartment to a less desirable neighborhood by raising the rent, especially because both can happen when a new park opens up down the street.