In "A Memory of Light" by Robert Jordan, a significant moment occurs when Rand expresses his desire for his children to have their own identities. He requests Elayne not to name either of their children after him, emphasizing that he wants them to forge their own paths rather than live under the expectations of his legacy.
Rand's wish reflects his understanding of the burdens that can accompany a famous name. He acknowledges that his influence will naturally cast a long shadow over their lives, and he hopes to give them the freedom to define themselves without the weight of his legacy hanging over them.