Vasile, I have read many times that although frost causes the leaves of deciduous plants to drop the roots keep growing far into the winter. Fall, after leaf drop, is the preferred planting time here for many plants. I also read, even on this forum, that roots will grow in colder temperatures than will the upper parts of a tree.
I read in the local gardening column that we should not let our deciduous plants get too dry in the winter. It seems that even though leafless they use a little water. Too little water and they get freeze damage. (I do not know how to explain that.)
I do not know about the increase in trunk size. I have never read anything about it, nor have I observed this phenomenon. It is easy to check though; next year I wil put calipers on a couple of trees in the fall, after leaf-drop, and again about the middle of march, well before they leaf out.
Ox