I understand we have a fixed point in the couplings ("K") space (or in the scaling variable space). Then, there is a critical surface, which is attracted to it. This is a part of a system with some relevant variables, along with the irrelevant ones of the critical surface. The critical point in the system is attracted to the fixed point above. OK. Now, it is said in all the books that the fixed point "controls" the behavior in the critical point, specifically on the long distance behavior. What does it mean? Does it mean the critical exponents are the same in both points? Does it mean that something (what?) is identical for small k? Or what else?