Novak Djokovic kept his cool in the New York heat to reach the semi-finals of the US Open and break yet another record.

The ice-cold Serbian is through to the last four of a grand slam for the 47th time, moving him one ahead of Roger Federer’s tally, after a 6-1 6-4 6-4 win over Taylor Fritz.

The roof was half-closed on Arthur Ashe to shield the players from the 90 degree temperatures amid energy-sapping humidity at Flushing Meadows.

American Fritz has been red hot all fortnight, not dropping a single set on his way to the last 16, but he was ruthlessly extinguished by the 23-time grand slam champion.

A demoralised Fritz has now lost all eight matches he has played against Djokovic.

The ninth seed hit more winners – 33 to Djokovic’s 25 – but he was simply ground down by the 36-year-old with a grand total of 51 unforced errors telling its own story.

He also forced 12 break points but converted only two of them, the second of which levelled the third set at 4-4 and prompted Djokovic to shoo some of his own supporters out of one of the executive suites.

But Djokovic immediately hit back, the three-time winner then saving another break point before completing the victory in two hours and 35 minutes to silence a partisan American crowd.

Djokovic said: “It’s expected that people are backing the home player, there’s nothing wrong with that. I like the atmosphere here, I’m fine with that and I thrive on that energy.

“I’ve been playing on this court for many years, played many epic matches, and I’m looking forward to another one in a few days.

“It’s a huge opportunity every time I step out on the court and at my age I don’t know how many more opportunities I’ll get.”

Coco Gauff became the first American teenager since Serena Williams in 2001 to reach the semi-finals of the US Open.

The 19-year-old dropped just two games as she blitzed Jelena Ostapenko 6-0 6-2 inside Arthur Ashe Stadium.

Latvian Ostapenko, the 20th seed, had blown the women’s draw wide open when she knocked out defending champion and world number one Iga Swiatek in round four.

But she was unable to take advantage of her own handiwork as Gauff raced away with the first set in only 20 minutes.

Ostapenko made more of a contest of it in the second set, finally managing to hold serve at the fifth attempt.

But Gauff completed the job in an hour and eight minutes to reach the last four of her home grand slam for the first time.

“It feels great, I’m so happy,” she said. “Last year I lost in the quarter-finals and I wanted to do better. There’s a long way to go but I’m happy and ready to go back to work.

“Honestly, I didn’t feel comfortable the whole match, even on match point. I know the game she plays. It’s really tough against her – you can’t really be aggressive. She’s a top player and she’s had a great tournament.

“There’s a saying in basketball that ‘defence wins games’. It doesn’t always work in tennis but today that was the case.”

Gauff will face the winner of Tuesday night’s match between Sorana Cirstea and Karolina Muchova in the last four.

German Alexander Zverev had a spectator thrown out of his US Open match against Jannik Sinner for shouting “the most famous Hitler phrase”.

A man could clearly be heard yelling “Deutschland uber alles” inside Arthur Ashe Stadium as Zverev prepared to serve.

Zverev, the 12th seed, approached English umpire James Keothovang and said: “He just said the most famous Hitler phrase there is in the world. It’s unacceptable. This is unbelievable.”

Keothovang turned to the crowd and asked: “Who was the smart guy who said that? Who said that? Put your hand up. We’re going to get him out.”

He then announced to the crowd: “Please be fair and respect the players.”

The man suspected of yelling the slur was ejected by security at the end of the game.

Zverev went on to win the match in five sets and afterwards, the 26-year-old told reporters: “He started singing the anthem of Hitler that was back in the day. It was ‘Deutschland uber alles’ and it was a bit too much.”

Jack Draper has been added to Britain’s Davis Cup team for next week’s matches in Manchester following his run to the fourth round of the US Open.

The 21-year-old again showed his huge potential by outperforming the rest of Britain’s singles players in New York, pushing eighth seed Andrey Rublev to four sets before bowing out on Monday.

Draper has struggled with injuries throughout the season and was a doubt for the US Open because of a shoulder problem so it was encouraging that his body held up through four best-of-five-set matches.

He joins Cameron Norrie, Dan Evans, Andy Murray and Neal Skupski in the side for matches against Australia, Switzerland and France beginning next Wednesday at the AO Arena.

It is the second time Leon Smith has called up Draper, who stayed on the bench during February’s victory over Colombia.

His inclusion presents captain Smith with a tricky selection decision given Norrie, Evans and Murray are significantly more experienced but none of the trio have had a great season, with British number one Norrie in particular in something of a rut.

Calling up Draper also indicates that Smith will rely on Wimbledon champion Skupski and Evans as his doubles partnership having overlooked Joe Salisbury, who is in the quarter-finals in New York with American partner Rajeev Ram.

Britain need to finish in the top two of the four-team group to make it through to the final stages of the competition in Malaga in November.

Iga Swiatek’s reign as US Open champion, and world number one, was ended by her nemesis Jelena Ostapenko.

The 22-year-old Pole had not dropped a set on her way to the fourth round, but she had never beaten Ostapenko in three previous career meetings.

Swiatek took the first set with relative ease but then Ostapenko’s sledgehammer of a forehand started finding its mark to level the match.

A one-sided final set saw former French Open champion Ostapenko triumph 3-6 6-3 6-1.

Swiatek’s defeat means that Aryna Sabalenka of Belarus will take over as world number one after the tournament.

Ostapenko will face Coco Gauff in the quarter-finals after the teenager ended the grand slam comeback of mother-of-two Caroline Wozniacki.

The 19-year-old came from a break down in the first and third sets to win both and complete a 6-3 3-6 6-1 victory.

Wozniacki’s return has been one of the stories of New York this year, having come out of retirement after more than three years and two children later.

The 33-year-old former world number one has looked as though she has never been away, but a fired-up Gauff proved just too strong in the deciding set.

Wozniacki got off to a dream start with a break in the first game and a 2-0 lead.

But Gauff quickly got back on the board, levelling at 3-3 before going on to clinch the first set without dropping another game.

Wozniacki cranked up the pressure in the second and Gauff started feeling it as her suspect forehand began to misfire and she was broken for 5-3 as the Dane levelled the match.

Gauff looked uncomfortable as she dropped serve again at the start of the decider, but after pointedly ignoring the advice of coach Brad Gilbert, the wound-up American began firing backhand winners as if they were going out of fashion.

She reeled off the next six games to clinch the victory and let out a loud scream of triumph after converting match point.

“Definitely getting it to 2-1 (in the third set) was the turning point,” said Gauff.

“I got broke and I showed I was still in the match. I started to go for my shots.

“Caroline, it’s like she’s never left, the level she played was amazing. It’s weird because I grew up watching Caroline and when she won the Australian Open, so to be on court with her today was an honour.

“She definitely gets to a lot of balls. I felt a bit like I was playing myself. I knew I had to play aggressive and go for my shots. In some moments I miss but I was happy I could get back and refocus.”

It will be the fifth grand slam quarter-final of Gauff’s still-fledgling career and her second at Flushing Meadows.

“I’ve been in this position before,” she added. “And I think I have confidence in myself that I can go even further.”

Novak Djokovic strolled into the last eight of the US Open with a three-set win over Croatian qualifier Borna Gojo.

Djokovic is now one behind Roger Federer’s record of 58 grand slam quarter-finals after a 6-2 7-5 6-4 victory.

The Serbian second seed got himself out of a minor pickle at 2-0 down in the second set, breaking back and dropping just four points in his next six service games.

A break to love in the third finished 6ft 5in Gojo off with Djokovic going through in two hours and 25 minutes.

Djokovic, bidding for a 24th grand slam title, said: “I knew Borna has a big game. I saw that he played well in the qualifying round.

“I saw that he’s a big-shot player, his serve and forehand are big weapons, he moves pretty well for a big guy, so the key points for me were to neutralise his serve.”

Djokovic has had a very agreeable draw in New York but he faces American ninth seed Taylor Fritz on Tuesday.

He added: “You know, obviously the matches are only going to get tougher from now onwards, and I’m ready.”

Big-serving Ben Shelton blew away fellow American Tommy Paul to lead the home charge into the quarter-finals.

The 20-year-old from Atlanta fired down two 149mph serves in one game on his way to a 6-4 6-3 4-6 6-4 victory.

“I think it was straight adrenaline,” he said. “In any other atmosphere I don’t think I could get it done. I think my arm would fall off, but it’s feeling good right now.”

The record fastest serve at the US Open is still held by Andy Roddick, who hit a 152mph thunderbolt on his way to the title in 2003 – the last time an American man won their home slam.

It was sweet revenge for Shelton, who was knocked out by Paul at the same stage of the Australian Open in January.

He added: “I really learned how to be mentally tough. When I was playing in Australia after a long week, I was looking at my box saying ‘my legs are dead, I’m tired, I can’t go anymore’.

“I realised how important it is to believe in myself, believe that I can go all the way, the full distance emotionally and physically and now I have that belief here.”

Shelton will play 10th seed Frances Tiafoe, guaranteeing at least one American man in the semi-finals.

Tiafoe beat Australian wild card Rinky Hijikata in straight sets, 6-4 6-1 6-4.

“It’s a shame that two of us have to play in the quarter-finals. Maybe we could have three in the semis,” added Shelton.

Fritz beat Dominic Stricker of Switzerland in three sets to make the last eight at Flushing Meadows for the first time.

Teenager Coco Gauff ended the grand-slam comeback of mother-of-two Caroline Wozniacki to reach the quarter-finals of the US Open.

The 19-year-old came from a break down in the first and third sets to win both and complete a 6-3 3-6 6-1 victory.

Wozniacki’s return has been one of the stories of New York this year, having come out of retirement after more than three years and two children later.

The 33-year-old former world number one has looked as though she has never been away, but a fired-up Gauff proved just too strong in the deciding set.

Wozniacki got off to a dream start with a break in the first game and a 2-0 lead.

But Gauff quickly got back on the board, levelling at 3-3 before going on to clinch the first set without dropping another game.

Wozniacki cranked up the pressure in the second and Gauff started feeling it as her suspect forehand began to misfire and she was broken for 5-3 as the Dane levelled the match.

Gauff looked uncomfortable as she dropped serve again at the start of the decider, but after pointedly ignoring the advice of coach Brad Gilbert, the wound-up American began firing backhand winners as if they were going out of fashion.

She reeled off the next six games to clinch the victory and let out a loud scream of triumph after converting match point.

“Definitely getting it to 2-1 (in the third set) was the turning point,” said Gauff.

“I got broke and I showed I was still in the match. I started to go for my shots.

“Caroline, it’s like she’s never left, the level she played was amazing. It’s weird because I grew up watching Caroline and when she won the Australian Open, so to be on court with her today was an honour.

“She definitely gets to a lot of balls. I felt a bit like I was playing myself. I knew I had to play aggressive and go for my shots. In some moments I miss but I was happy I could get back and refocus.”

It will be the fifth grand slam quarter-final of Gauff’s still-fledgling career and her second at Flushing Meadows.

“I’ve been in this position before,” she added. “And I think I have confidence in myself that I can go even further.”

Big-serving Ben Shelton blew away fellow American Tommy Paul to reach the quarter-finals of the US Open.

The 20-year-old from Atlanta fired down two 149mph serves in one game on his way to a 6-4 6-3 4-6 6-4 victory at Flushing Meadows.

“I think it was straight adrenaline,” he said. “In any other atmosphere I don’t think I could get it done. I think my arm would fall off, but it’s feeling good right now.”

The record fastest serve at the US Open is still held by Andy Roddick, who hit a 152mph thunderbolt on his way to the title in 2003 – the last time an American man won their home slam.

It was sweet revenge for Shelton, who was knocked out by Paul at the same stage of the Australian Open in January.

He added: “I really learned how to be mentally tough. When I was playing in Australia after a long week, I was looking at my box saying ‘my legs are dead, I’m tired, I can’t go anymore’.

“I realised how important it is to believe in myself, believe that I can go all the way, the full distance emotionally and physically and now I have that belief here.”

Jack Draper arrived at the US Open simply hoping to stay fit, yet now he is chasing a place in the quarter-finals.

The British number four, 21, has endured an injury-hit year and slipped from a career-high ranking of 38 to outside the top 100.

A shoulder injury saw him miss Wimbledon and threatened his participation at Flushing Meadows.

Yet despite serving within himself in a bid to manage the problem, Draper is the only British player reach the last 16 after winning a tight four-set battle with American Michael Mmoh 6-4 6-2 3-6 6-3 on Saturday.

And having reached the second week of a grand slam for the first time, Draper is now looking to go even further.

“I mean, when I am playing, I’m not here just to be here and be happy to play. I’m a competitor when I get into the matches. I want to win everything,” he said.

“Definitely at the start of the week, there was real concern about my body and with the year I’ve had, whether I’d be able to play one match.

“Obviously it’s the best-of-five sets, so it’s completely different to what a three-set match even holds.

“You know, we just wanted to stay fit this trip. That was kind of the goal, you know, to get consistent competition in, because that’s just something I haven’t had.

“To come here this week and to play the way I have and to compete the way I have and for my body to hold up has been, it’s been pretty special for me, really.”

Draper faces Andrey Rublev, the combustible Russian eighth seed, for a place in the last eight.

“He’s been top 10 for many years, having great results, consistently doing well in the slams and won his first 1000 event this year,” added Draper.

“Anyone who you play in the fourth round, I suppose they’ve won three matches and they’re playing good tennis and feeling good out here, so it will be really difficult either way.”

Jack Draper arrived at the US Open simply hoping to stay fit, yet now he is chasing a place in the quarter-finals.

The British number four, 21, has endured an injury-hit year and slipped from a career-high ranking of 38 to outside the top 100.

A shoulder injury saw him miss Wimbledon and threatened his participation at Flushing Meadows.

Yet despite serving within himself in a bid to manage the problem, Draper is the only British player reach the last 16 after winning a tight four-set battle with American Michael Mmoh 6-4 6-2 3-6 6-3 on Saturday.

And having reached the second week of a grand slam for the first time, Draper is now looking to go even further.

“I mean, when I am playing, I’m not here just to be here and be happy to play. I’m a competitor when I get into the matches. I want to win everything,” he said.

“Definitely at the start of the week, there was real concern about my body and with the year I’ve had, whether I’d be able to play one match.

“Obviously it’s the best-of-five sets, so it’s completely different to what a three-set match even holds.

“You know, we just wanted to stay fit this trip. That was kind of the goal, you know, to get consistent competition in, because that’s just something I haven’t had.

“To come here this week and to play the way I have and to compete the way I have and for my body to hold up has been, it’s been pretty special for me, really.”

Draper faces Andrey Rublev, the combustible Russian eighth seed, for a place in the last eight.

“He’s been top 10 for many years, having great results, consistently doing well in the slams and won his first 1000 event this year,” added Draper.

“Anyone who you play in the fourth round, I suppose they’ve won three matches and they’re playing good tennis and feeling good out here, so it will be really difficult either way.”

Jack Draper is the last Brit standing at the US Open after reaching the fourth round of a grand slam for the first time.

The 21-year-old, an impressive 6-4 6-2 3-6 6-3 winner against tricky American Michael Mmoh, will face eighth seed Andriy Rublev in the last 16.

But Cameron Norrie bowed out along with Dan Evans – who gave Carlos Alcaraz a serious work-out before losing in four sets – and Katie Boulter.

Here, the PA news agency looks back at day 6 at the US Open

Pic of the dayShot of the day

Probably shot of the tournament. Any tournament.

Match of the day

Evans’ showdown with Alcaraz inside Arthur Ashe Stadium took a little time to warm up, but once it got going it was a joy to watch. The defending champion had to dip into his armoury of explosive winners to finally see off the British number two 6-2 6-3 4-6 6-3.

Brit watch

Draper laid a few ghosts to rest with his win in the Grandstand Stadium.

It was the same court upon which, a year earlier, Draper suffered a hamstring injury which forced him to retire from his match with Karen Khachanov.

He said: “I was thinking that on the court today it’s like Groundhog Day out there. I think it was exactly one year on.

“To come here a year on, despite maybe my ranking having dropped a fair bit because of the injuries and not being able to be on the same confidence level that I was last year, you know, I’m incredibly proud of that and hopefully I can keep going this week.”

Boulter was beaten 6-4 6-3 by 21-year-old American Peyton Stearns and Norrie lost a disappointing match in three sets to Italian Matteo Arnaldi.

Quote of the dayFallen seeds

Women: Liudmila Samsonova (14), Elina Svitolina (26), Marie Bouzkova (31)
Men: Cameron Norrie (16), Grigor Dimitrov (19), Nicolas Jarry (23), Dan Evans (26).

Who’s up next?

The fourth round gets under way with a tasty tie between teenager Coco Gauff and 33-year-old mother of two Caroline Wozniacki. Iga Swiatek faces Jelena Ostapenko and Novak Djokovic takes on Croatian quailfier Borna Gojo.

British number one Katie Boulter’s run at the US Open was ended in the third round by Peyton Stearns.

The 27-year-old from Leicester picked up two fine wins in her opening two matches, but American world number 59 Stearns proved too strong on a breezy Court 17.

Boulter was gunning for revenge having lost to Stearns across three tie-breaks and three-and-half hours in Texas in February.

But this was never as close a match despite Boulter clawing back an early break in the first set.

Holding serve was becoming an arduous task and Stearns duly struck again to pinch the opener.

A solitary break in the second was enough to send Boulter packing as 21-year-old Stearns ran out a 6-4 6-3 winner.

Boulter can be proud of her efforts in New York, however, with a place in the world’s top 50 on the cards for the first time in her career.

Dan Evans pushed world number one Carlos Alcaraz all the way before bowing out of the US Open following a breathtaking third-round match.

The defending champion had to dip into his armoury of explosive winners to finally see off the British number two inside Arthur Ashe Stadium.

The last time Evans played the top-ranked player he rose to the occasion, beating Novak Djokovic in Monte Carlo three years ago.

And the 26th seed brought the very best out of the 20-year-old Wimbledon champion before succumbing 6-2 6-3 4-6 6-3.

Alcaraz dominated the first set, constantly pushing his opponent to the back of the court and hitting 14 winners to Evans’ four.

But he showed he is not infallible at the start of the second after a double-fault gave Evans, who was beginning to relish the challenge, a break point which he converted with a superb backhand down the line.

Alcaraz quickly retrieved the break and a frustrated Evans was given a code violation after slicing the ball into the crowd after netting a volley at 15-30 up on the Spaniard’s serve.

Evans was playing well, but Alcaraz simply raised his level and brought up set point with a blistering forehand down the line which brought gasps from the spectators.

Evans saved that one, but could do nothing with the next after an exquisite lob and simple volley put Alcaraz two sets up.

Never one to give up without a fight, Evans promptly played one of the best sets of his career.

He broke for 4-3 and, serving for the set, forced Alcaraz into some of the most outrageous clutch winners.

The pair, who played golf together at Wimbledon, frequently exchanged knowing looks and grins, such was the quality of the cat-and-mouse tennis on show.

It took Evans, 33, five set points to make the breakthrough, prompting a suddenly exasperated Alcaraz to slam his racket down in frustration.

But Alcaraz turned the match back in his favour with another stunning shot on break point. On the run and at full stretch, he unleashed a forehand down the line which clipped the baseline and left Evans stood, hands on hips, in sheer disbelief.

Two aces, another sensational lob onto the baseline and a 61st winner of the match finished Evans off, but Alcaraz knew he had been in a contest.

“He’s a tricky opponent, great slices, good touch and it’s my game as well so it was a pretty good match,” said Alcaraz.

“We made great points, great shots, a lot of different situations, so I’m really happy to get through

“We played some great points that made us smile, Dan as well. It’s great to see Dan and I on a tennis court, we tried to entertain and make the match fun.”

The next time Iga Swiatek takes her best friend Kaja Juvan out for dinner, bagels are unlikely to be on the menu.

The world number one and defending US Open champion thrashed Slovakian qualifier Juvan 6-0 6-1 to reach the fourth round at Flushing Meadows.

The pair had been out for a meal in New York just last week, and Swiatek spoke of their enduring friendship on the WTA Tour before the match.

But with friends like Swiatek, who needs enemies? The Pole surrendered just eight points as she raced away with the first set to love in only 33 minutes.

Juvan did at least avoid the dreaded ‘double-bagel’, finally getting a game on the board 40 minutes into the match for 3-1 in the second and raising her arms aloft in mock triumph to the acclaim of the Louis Armstrong crowd.

But it was only delaying the inevitable, with Swiatek wrapping up another clinical, statement victory – she beat Rebecca Peterson by the same scoreline in the first round – in well under an hour.

“I didn’t like that I was winning with my best friend but I knew I had to be focused and not think about that,” said the 22-year-old.

“It’s like playing your sister. I don’t have many friends and she’s my best friend so that was the toughest, for sure.”

Andy Murray bowed out of the US Open, but it was still a successful day for British tennis.

Jack Draper, Katie Boulter, Cameron Norrie and Dan Evans all kept the flag flying into the third round, although Jodie Burrage came up short against second seed Aryna Sabalenka.

Defending champion Carlos Alcaraz beat Lloyd Harris in straight sets and he will face Evans next.

Here, the PA news agency looks back at day four at Flushing Meadows.

Pic of the dayShot of the day

No contest.

Brit watch

Murray was desperately disappointed with how he played as he went down in straight sets to a familiar rival, Grigor Dimitrov. It was a 12th meeting of the pair and the Bulgarian 19th seed picked up his fourth win.

Norrie was a straight-sets winner against Hsu Yu-hsiou of Chinese Taipei and Evans came from a set down to beat Dutchman Botic van de Zandschulp in four.

Propably most impressive was Draper, who dispatched 17th seed Hubert Hurkacz of Poland 6-2 6-4 7-5.

Lucky escape

Boulter was relieved to avoid being defaulted after inadvertently hitting a ball towards spectators during her win over Wang Yafan.

The British number one had just lost a 20-shot rally in the first set when a ball kid threw her the ball and she swatted it away, accidentally sending it spinning into a gangway in front of the crowd.

Had the ball hit a spectator Boulter would have been disqualified, but the chair umpire merely issued a code violation for ball abuse.

Boulter went on to complete a 5-7 6-1 6-4 victory and will play American Peyton Stearns in round three.

Stat of the dayNo boos

The USTA put an announcement on the big screen explaining there would be no handshake between Ukraine’s Elina Svitolina and Russian Anastasia Pavlyuchenkova due to ‘global events’. It had the desired effect as there was no booing of either player, unlike at Wimbledon when Victoria Azarenka got it in the neck.

Fallen seeds:

Hubert Hurkacz (17)

Who’s up next?

Novak Djokovic continues his bid for a record-equalling 24th grand slam title against fellow Serbian Laslo Djere.

Defending champion Iga Swiatek faces her good friend, Slovakian qualifier Kaja Juvan.

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