(CNN) -- Mexican migration to the United States may have stalled, as a new study shows, but the political and social debates over immigrants living in the United States aren't going anywhere, experts say. The immigration debate is reflected in a number of policies and proposals, most recognizably state immigration laws that are being challenged. Oral arguments are scheduled at the Supreme Court on Wednesday as the justices decide whether Arizona can enforce its controversial immigration law. A bill in Mississippi that would require police to check the immigration status of all those arrested died in the state Senate this month.
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NEW: "It's not the United States it was 30 years ago," one immigrant says
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A new study says net flows from Mexico into the United States have stopped
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Better conditions in Mexico mean less desire to emigrate to the United States
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But future demand means the controversial debates will continue
According to the report, "the trend lines ... suggest that return flow to Mexico probably exceeded the inflow from @placeholder during the past year or two."