Jon Snow and Arya Stark are the only ones of the current generation to have the Stark look - the long face, brown hair and grey eyes. They are also the two Starks who think of and mention Ned Stark the most, follow his guidance and advice. They often mention their âFatherâs bannermenâ and actively participate in plots to help house Stark despite not having a lot of power or agency to do so (Arya at Harrenhal and Jon Snow with Stannis and the Karstarks). They are the two Starks who embody Nedâs vision of house Stark the most.
Jon remembered something his father had said once. A wall is only as strong as the men who stand behind it.
A lord may love the men that he commands, he could hear his lord father saying, but he cannot be a friend to them. One day he may need to sit in judgment on them, or send them forth to die.
âThe map is not the land, my father often said.
âMy lord father said he never ate half so well as when visiting the clans.â
âMy lord father used to tell me that a man must know his enemies. We understand little of the wights and less about the Others. We need to learn.â
âMy lord father used to say a man should never draw his sword unless he means to use it.â
He might have known them anyway, just by the way they stood. A good lord must know his men, his father had once told him and Robb, back at Winterfell. - Jon, ASoIaF
I should kill them myself. Whenever her father had condemned a man to death, he did the deed himself with Ice, his greatsword. âIf you would take a manâs life, you owe it to him to look him in the face and hear his last words,â sheâd heard him tell Robb and Jon once.
Tell me what to do, you gods,â she prayed.
Then, so faintly, it seemed as if she heard her fatherâs voice. âWhen the snows fall and the white winds blow, the lone wolf dies, but the pack survives,â he said.
Last night sheâd had a bad dream, a terrible dream. She couldnât remember what sheâd dreamed of now, but the feeling had lingered all day. If anything, it had only gotten stronger. Fear cuts deeper than swords. She had to be strong now, the way her father told her.
Her father used to say that a lord needed to eat with his men, if he hoped to keep them. âKnow the men who follow you,â she heard him tell Robb once, âand let them know you. Donât ask your men to die for a stranger.â - Arya, ASoIaF
Itâs Jon and Arya who idealize Ned Stark the man, who measure their actions against their fatherâs and often times come up short.
âJon did not know that he could tell honor from shame anymore, or right from wrong. Father forgive me.â Â - Jon, ASoS
Arya told of Yoren and their escape from Kingâs Landing as well, and much that had happened since, but she left out the stableboy sheâd stabbed with Needle, and the guard whose throat sheâd cut to get out of Harrenhal. Telling Harwin would be almost like telling her father, and there were some things that she could not bear having her father know. Arya, ASoS
Itâs Ned who gives Arya courage and strength when she falters, who tells her âWhen the snows fall and the white winds blow, the lone wolf dies but the pack survives.â Words she follows as she tries to find her pack. Itâs Nedâs teaching and advice that Jon uses to plan Stannisâ campaign in the North.
Aryaâs relationship with her mother is more complicated by Catelynâs desire for her to be a fundamentally different person. Jon does not have a mother figure in the story, however, itâs interesting that growing up the only positive female influence in his life is Arya Stark (Well, apart from Old Nan - though I doubt Old Nan did much parenting apart from storytime!).
This is subconsciously reflected in the girls he admires, befriends and loves (He compares Ygritte physically to Arya, he compares Ygritte and Alysâ personality to Aryaâs) as much as his contempt for Catelyn is reflected in the disdain he shows for what he considers to be the typical Westerosi lady who hold high regard for propriety and societal norms.
A warrior princess, he decided, not some willowy creature who sits up in a tower, brushing her hair and waiting for some knight to rescue her. - Jon, ADwD
GRRM seems to be playing around with an Oedipal Complex for Jon Snow in that he keeps comparing the girls he is attracted towards and admires with Arya and Arya is a mini Lyanna according to the characters who know both Arya and Lyanna. Jon and Arya are close because Arya is like Lyanna in terms of personality and looks. Jon of course does not know this, however, he is more or less getting to know his mother through his relationship with Arya. This is the GRRM approved world book art for Lyanna and Arya:
Arya Stark in KLÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Lyanna Stark at Harrenhal
âLyanna might have carried a sword, if my lord father had allowed it. You remind me of her sometimes. You even look like her.â - Arya, AGoT
Itâs Lyannaâs son who admires Arya for who she is, Lyannaâs son who defies his father, secretly arms Arya and gifts her a sword - Needle, symbolic of the bond between them.
As an aside, Arya (A Lyanna look alike) has the closest bond with Rhaegarâs son, Jon Snow and also has a friendship and something brewing with Robertâs son Gendry Waters while on the run, a point to note when one considers what happened with Lyanna, Robert and Rhaegar.
Mothers and sons, fathers and daughters. Something to consider about these bonds of love and friendship between the younger generation when one looks back on the everything that happened in the past.