It never ceases to amaze me the change in a bow's personality after I put on a skinny string. I started with skinny strings on all my bows a couple years ago and never looked back. More recently I have been using 8 strands of D10 with loops padded to 16 on bows up to 60 lbs. I even went to 6 strands on a 44 lb. Whip. I make my own strings so tinkering is easier, and cheaper.
Just this week I took delivery of a 99% new NM Shelton 52@28. Shot the bow within 5 minutes of the postlady leaving. I thought, Hmmmm a little hand vibration, more than on my other bows anyway. So last night I put on a skinny D10, tied a couple nocking points on and shot it this morning. A noticeable difference!! Smoother at the shot for sure.
So, just for grins, I weighed the two strings.
String that came with the bow is a 12 strand D97 with puff balls - nice string - weighs 134 grains.
D10 8-strand, padded loops and 5.75" of center serving and tied on nocks - weighs 82 grains.
That 52 grains may not seem like alot but it's a 38% reduction in string mass. I don't know what the formulas would say but intuitively it's pretty obvious that there will be less vibration with less mass.
I will say that not all bows react to skinny strings to the same degree. My r/d bows exhibit less of a gain because they are already very smooth shooters. It seems like the bows that skinny strings make the biggest difference on are the hill style bows. Both of mine are much better shooters with skinny strings.