The thaw in relations between the U.S. and Cuba has led to a stunning 36 percent increase in visits by Americans to the island, including thousands who are flying into Cuba from third countries such as Mexico in order to sidestep U.S. restrictions on tourism.

The dramatic rise was seen in the number of Americans with no family ties to Cuba who visited between Jan. 1 and May 9 of this year compared to the same period in 2014, according to statistics provided to The Associated Press by a University of Havana professor.