You didn't provide enough detail, especially regarding the nature of the 'minority' interest. In any case the question covers an area too complex to answer here. Perhaps the video in the link provided below will help you figure out the answer.
publicly held lands are the public estate.
is it a publicly traded company
They can live in the home if it is to the best interests of the estate. They need to pay the appropriate rent in the process.
Xinyuan Real Estate, known on the NYSE as XIN, is a publicly traded company. Stock brokers use it to compare against other real estate companies and to see how the real estate market is doing in general.
The bankrupt's property interests can become part of the bankruptcy estate and ultimately disposed of by the court. On motion, indivisible interests might be excluded by the Bankruptcy Court and alternatively may be subject to satisfaction of value to creditors out of financial assets to protect the interests of the other owners. Sometimes some assets are simply absolutely excluded from the bankruptcy estate by statute in Title 11, or a rule promulgated thereunder, or in a common-law precedent.
It is one of America's largest publicly traded real estate companies
The doctrine of estate in land law refers to the different types of ownership interests or rights that an individual can have in real property. These interests include fee simple, life estates, and leasehold estates. Each estate has its own set of rights and limitations concerning the use and transfer of the property.
The estate will have to sell or abandon the home.
The executor determines the handling of the estate. That includes preserving the value of the estate. An unrented apartment would not be in the best interests of the estate.
The executor should operate in the estate's best interests.
To protect herself and the children she should file an "interest" in his estate with the Probate Court. Since he died "intestate" the state will handle the apportioning of his estate among varying interests, of which she will become just one. She really should contact an attorney to represent the interests of herself and the children.
If any undistributed assets remain in the estate then the estate must be reopened and an estate representative must be appointed by the court.