Imagine we having directional weighted graph. Every graph vertex also is having a number which we can call value. Every graph edge $AX$ is showing to us, what portion of the value of Vertex $A$ is transferred to (the value of) Vertex $X$.
I tried to program it in Python and in the cyclic graph of length 4 and weights
AB = 0.1 BC = 0.2 CD = 0.3 DA = 0.4
And every graph vertex with a starting value of 25. I found at the end of iteration
vA = 48 vB = 24 vC = 16 vD = 12
What is this end point mathematically? What subfield of mathematics deals with this? I know that this problem has to do something with calculus.