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231.
Sergiu Hart 《International Journal of Game Theory》1973,2(1):69-85
Aumann andShapley [1973] have investigated values of games in which all players are individually insignificant, i.e. form a non-atomic continuum, or “ocean”. In this paper we treat games in which, in addition to such an ocean, there are also some “atoms”, i.e. players who are individually significant. We define spaces of such games that are analogous to those investigated byAumann andShapley, and prove the existence of values on some of them. Unlike in the non-atomic case, we find that in general there are infinitely many values, corresponding to various ways in which the atoms can be imbedded in the ocean. The results generalize those ofMilnor andShapley [1961]. Precise statements will be found in Section 2. 相似文献
232.
Sergiu?KlainermanEmail author Igor?RodnianskiEmail author 《Inventiones Mathematicae》2005,159(3):437-529
One of the central difficulties of settling the L2-bounded curvature conjecture for the Einstein-Vacuum equations is to be able to control the causal structure of spacetimes with such limited regularity. In this paper we show how to circumvent this difficulty by showing that the geometry of null hypersurfaces of Enstein-Vacuum spacetimes can be controlled in terms of initial data and the total curvature flux through the hypersurface. Mathematics Subject Classification (1991) 35J10 相似文献
233.
Novitchi G Shova S Caneschi A Costes JP Gdaniec M Stanica N 《Dalton transactions (Cambridge, England : 2003)》2004,(8):1194-1200
The synthesis, structural determinations and magnetic properties of an original dinuclear Cu-Gd and two trinuclear Cu-Ln-Cu complexes (Ln = Gd or Dy) made with a Schiff base ligand and carboxylate ligands are reported. In each complex, the copper and gadolinium or dysprosium ions are linked by a double phenoxo bridge and a eta1:eta1:mu trifluoroacetato bridge. The dinuclear Cu-Gd complex exhibits the usual ferromagnetic interaction while the trinuclear (Cu-Gd-Cu) complexes can not be fitted with a simple Hamiltonian that only takes into account the Cu-Gd interaction. Introduction into the Hamiltonian of a Cu-Cu interaction between the terminal copper ions gives a nice fit in the case of a ferromagnetic Cu-Cu interaction (J'(Cu-Cu) = 8.3 and 9.8 cm(-1)). For the first time, the occurrence of a ferromagnetic interaction between the copper ions of the trinuclear entities is evidenced and supported by the field dependence of the magnetization. As there is no direct proof for the existence of an interaction between two centers through a third magnetic center located in between them, we can conclude that the existence of pi-pi stacking interactions through the phenyl rings of the ligands are responsible for the presence of these interactions. 相似文献
234.
Sergiu Aizicovici Veli-Matti Hokkanen 《Journal of Mathematical Analysis and Applications》2004,292(2):540-557
The solvability of the evolution system v′(t)+B(t)u(t)∋f(t), v(t)∈A(t)u(t), 0<t<T, with the periodic condition v(0)=v(T) is investigated in the case where are bounded, possibly degenerate, subdifferentials and are unbounded subdifferentials. 相似文献
235.
We consider a compact manifold X whose boundary is a locally trivial fiber bundle, and an associated pseudodifferential algebra
that models fibered cusps at infinity. Using tracelike functionals that generate the 0-dimensional Hochschild cohomology groups
we first express the index of a fully elliptic fibered cusp operator as the sum of a local contribution from the interior
of X and a term that comes from the boundary. This leads to an abstract answer to the index problem formulated in [11]. We
give a more precise answer for firstorder differential operators when the base of the boundary fiber bundle is S1. In particular, for Dirac operators associated to a metric of the form
near ∂X = {x = 0} with twisting bundle T we obtain
in terms of the integral of the Atiyah-Singer form in the interior of X, and the adiabatic limit of the η-invariant of the
restriction of the operator to the boundary. 相似文献
236.
237.
Robert Lauter Sergiu Moroianu 《Transactions of the American Mathematical Society》2003,355(8):3009-3046
The Hochschild homology of the algebra of pseudodifferential operators on a manifold with fibered cusps, introduced by Mazzeo and Melrose, is studied and computed using the approach of Brylinski and Getzler. One of the main technical tools is a new convergence criterion for tri-filtered half-plane spectral sequences. Using trace-like functionals that generate the -dimensional Hochschild cohomology groups, the index of a fully elliptic fibered cusp operator is expressed as the sum of a local contribution of Atiyah-Singer type and a global term on the boundary. We announce a result relating this boundary term to the adiabatic limit of the eta invariant in a particular case.
238.
Sergiu Moroianu 《K-Theory》2003,28(2):167-181
We compute the K-theory groups of Melrose's algebra of 1-suspended pseudo-differential operators. The boundary map in the six-term long exact sequence turns out to be related to both the eta invariant of Melrose and to the index of elliptic operators. The proof is based on a new identity between the formal trace and the Wodzicki residue trace on the suspended algebra.Partially supported by the European Commission RTN HPRN-CT-1999-00118 Geometric Analysis. 相似文献
239.
240.