Does ‘palm branches’ in Palm Sunday draw meaning from Jewish culture, or Greco-Roman culture that the Jews adopted?

Two verses connected two 'palm branches' are: >They took palm branches and went out to meet him, shouting, "Hosanna!" "Blessed is he who comes in the name of the Lord!" "Blessed is the King of Israel!" (John 12:13, NIV) > >After this I looked and there before me was a great multitude that no one could count, from every nation, tribe, people and language, standing before the throne and in front of the Lamb. They were wearing white robes and were holding palm branches in their hands. (Revelation 7:9, NIV) It seems that this ‘palm waving’ is understood by everybody as a symbol of triumph and victory, but which culture did this practice come from? Was it a Jewish tradition, or was it only Jewish tradition as part of a wider cultural tradition at that time of world history? Of course by asking the question I do not have any hidden agenda against Palm Sunday, its just a curiosity as I have not researched an answer.