You controlled it when it died, so you choose one of your opponents as the target when you put that triggered ability on the stack. At the beginning of the next end step, the delayed trigger will instruct that opponent to put the creature onto the battlefield under their control.
603.10. Normally, objects that exist immediately after an event are checked to see if the event matched any trigger conditions, and continuous effects that exist at that time are used to determine what the trigger conditions are and what the objects involved in the event look like. However, some triggered abilities are exceptions to this rule; the game “looks back in time” to determine if those abilities trigger, using the existence of those abilities and the appearance of objects immediately prior to the event. The list of exceptions is as follows:
603.10a Some zone-change triggers look back in time. These are leaves-the-battlefield abilities, abilities that trigger when a card leaves a graveyard, and abilities that trigger when an object that all players can see is put into a hand or library.
Example: Two creatures are on the battlefield along with an artifact that has the ability “Whenever a creature dies, you gain 1 life.” Someone plays a spell that destroys all artifacts, creatures, and enchantments. The artifact’s ability triggers twice, even though the artifact goes to its owner’s graveyard at the same time as the creatures.
It returns to the battlefield under its owner's control. Note that ownership is not changed by any card printed since 1995. Endless Whispers would not change this result, because the creature will be back on the battlefield before the delayed trigger can do anything.
702.78. Persist
702.78a Persist is a triggered ability. “Persist” means “When this permanent is put into a graveyard from the battlefield, if it had no -1/-1 counters on it, return it to the battlefield under its owner’s control with a -1/-1 counter on it.”
702.92. Undying
702.92a Undying is a triggered ability. “Undying” means “When this permanent is put into a graveyard from the battlefield, if it had no +1/+1 counters on it, return it to the battlefield under its owner’s control with a +1/+1 counter on it.”
Private Mod Note
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Why bother with mere rulings when so many answers can be found in the Rules?
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and with cards with persist or undying like Strangleroot Geist?
You controlled it when it died, so you choose one of your opponents as the target when you put that triggered ability on the stack. At the beginning of the next end step, the delayed trigger will instruct that opponent to put the creature onto the battlefield under their control.
It returns to the battlefield under its owner's control. Note that ownership is not changed by any card printed since 1995. Endless Whispers would not change this result, because the creature will be back on the battlefield before the delayed trigger can do anything.