"Some say "he’s just going to continue Bloomberg; he’s going to continue Giuliani"… People who know me know how different I am from both of those men. I want to enhance communication with communities. I will talk with anybody. I’m going to restart town hall meetings again. Mayors need to be out there,” said Lhota.
De Blasio was the top vote-getter in the Democratic primary with just over the 40% needed to avoid an Oct. 1 runoff.
Former city comptroller Thompson, who finished second, didn't release a public schedule but has vowed to stay in the race.
About 645,000 votes were cast in Tuesday's election -- and on Thursday, the Board of Elections will bring back voting machines from local precincts to borough headquarters ahead of Friday's recount.
On Monday, officials will add to the tally at least another 16,000 outstanding absentee and special ballots.
The Associated Press contributed to this report.
Actor Bruce Dern is a legend in the business even if he's best known for playing villains and sociopaths. Dern has been in Hollywood films for over 40 years and was nominated for an Oscar, Golden Globes, and an Emmy.