We then introduce the notion of compression of a graph Γ which plays an important role in the study of partially commutative groups and prove that the lattices of closed sets for
The technical results above are in fact related,: the LQ lemma plays a key role in the proof of “free independence embeddings of L ∞ ([0, 1])”, while the free independence
The variational constant formula plays an important role in the study of the stability, existence of bounded solutions and the asymptotic behavior of non linear ordinary
Analogs of this theorem were proved by Roitberg for nonregular elliptic boundary- value problems and for general elliptic systems of differential equations, the mod- ified scale of
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
Correspondingly, the limiting sequence of metric spaces has a surpris- ingly simple description as a collection of random real trees (given below) in which certain pairs of
It provides a tool to prove tightness and conver- gence of some random elements in L 2 (0, 1), which is particularly well adapted to the treatment of the Donsker functions. This
Keywords Catalyst, reactant, measure-valued branching, interactive branching, state-dependent branch- ing, two-dimensional process, absolute continuity, self-similarity,