emerging vs rising

emerging is not a noun while rising is a noun.

Word	Noun	Adjective	Verb	Adverb
emerging	No	Yes	No	No
rising	Yes	Yes	No	No

As adjectives, emerging and rising are synonyms defined as:

emerging (noun)	rising (noun)
	organized opposition to authority; a conflict in which one faction tries to wrest control from another
	a movement upward; rise above the ground

emerging (adjective)	rising (adjective)
coming to maturity	advancing or becoming higher or greater in degree or value or status
coming into existence	sloping upward
	coming to maturity
	newly come into prominence