The battle of Thermopylae where Persian forces were able to use a little known mountain trail to outflank the Greeks during the battle .
None. At Thermopylai a traitor showed the Persians a back path around the pass, but the Greek force was laready being withdrawn, its mission completed.
The sea battle that helped turn back the Persian invasion was the Battle of Salamis, fought in 480 BCE. It took place in the straits between the island of Salamis and the Athenian mainland. The Greek navy, led by Themistocles, achieved a decisive victory against the larger Persian fleet, significantly weakening Persian naval power and boosting Greek morale during the Greco-Persian Wars.
Pericles .
He created alliances with many greek city-states
Persian.
The Greek and Persian War started in 499 B.C.
There was no Greek war Salamis. There was a sea battle in which the fleet of the southern Greek cities defeated a Persian-led fleet of warships supplied by its subject territories - Phoenicias, Asian-Greek and Egyptian.
The conflict led to ancient Greek kingdom of Macedonia's takeover of the Persian Empire.
The Persian thought the Persian Empire. The coalitions of Greek city-states thought the coalitions of Greek city-states.
Which particular war? The Persian what?
The other way around - Greek culture influenced the Persian Empire - first because of the couple of hundred Greek city-states located in Asia Minor and the Islands which were part of the Persian Empire, and later by Alexander the Great's takeover of the Empire, and the partially-successful attempts by him and his successors to introduce Greek culture throughout the Empire.