UN estimates the amount of debris in the Gaza Strip at 37 million tonnes in mid-April, or 300 kilogrammes per square metre
The third seed seized the early momentum, breaking Wolf's serve for a 3-2 lead in the first set in which he committed just two unforced errors in a show of near-flawless play.
The Russian, runner-up at Flushing Meadows last year, won the first break point in the second set after a pair of unforced errors from his opponent and appeared totally in control as he fired off eight aces, including one to close out the set.
Wolf matched the hard-hitting Russian's power but a flurry of unforced errors - 41 in the match compared to 10 from Medvedev - proved his undoing.
Back-to-back double faults in the first game of the third set saw a frustrated Wolf kick a tennis ball into the empty stands inside Arthur Ashe Stadium, with spectators barred from the facility due to the coronavirus pandemic.
Medvedev closed out the campaign with four straight points, praising his opponent in an on-court interview after the match.
"I'm sure he's going to be climbing up the rankings," Medvedev said of his Wolf. "I did everything I could for it to be tough (for him)."
He next faces either Marton Fucsovics of Hungary or Frances Tiafoe of the United States in the fourth round.
UN estimates the amount of debris in the Gaza Strip at 37 million tonnes in mid-April, or 300 kilogrammes per square metre
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