The quantization of the electronic two site system interacting with a vibration is considered by using as the integrable reference system the decoupled oscillators resulting from the adiabatic approximation. A specific Bloch projection method is applied which demonstrates how besides some regular regions in the fine structure of the spectrum and the associated eigenvectors irregularities appear...

Let φ be a holomorphic self-map of a bounded homogeneous domain D in C. In this work, we show that the composition operator Cφ : f 7→ f ◦ φ is bounded on the Bloch space B of the domain and provide estimates on its operator norm. We also give a sufficient condition for φ to induce an isometry on B. This condition allows us to construct non-trivial examples of isometric composition operators in ...

This paper characterizes the boundedness and compactness of the generalized composition operator (C φf)(z) = ∫ z 0 f ′(φ(ξ))g(ξ)dξ from Bloch type spaces to QK type spaces.

We study a coalition formation game with externalities where each agent’s payoff depends on the entire partition (see, e.g., Bloch (1996)). As in Bloch (1996) and Ray and Vohra (1999), we assume that coalitions form sequentially and once a coalition forms, it cannot dissolve nor can its members forge new coalitions with the rest of the agents. However, instead of an exogenously given protocol, ...

We construct an example of a torus T over a field K for which the Galois symbol K(K;T, T )/nK(K;T, T ) → H(K,T [n] ⊗ T [n]) is not injective for some n. Here K(K;T, T ) is the Milnor K-group attached to T introduced by Somekawa. We show also that the motiveM(T×T ) gives a counterexample to another generalization of the Milnor-BlochKato conjecture (proposed by Beilinson).

Recent reports have documented that extracellular sialyltransferases can remodel both cell-surface and secreted glycans by a process other than the canonical cell-autonomous glycosylation that occurs within the intracellular secretory apparatus. Despite association of the abundance of these extracellular sialyltransferases, particularly ST6Gal-1, with disease states such as cancer and a variety...