rise to

It's the statistical average of all the molecules vibrating -- their collective combined behavior -- that gives rise to the property of temperature and makes the water feel hot.

McGregor’s rise to sporting stardom has often been described as a rags-to-riches tale.

Except for small amounts of prize money for the elite few who rise to the top, unlike sports such as the NFL, there’s no signing bonus that offsets the years of investment.

Research efforts to ameliorate or even completely abolish this have given rise to technologies that show a lot of promise.

Their rise to fame inspired a semi-fictionalised film starring Oscar-nominated actor Michael Fassbender.