We study hedonic coalition formation games in which cooperation among the players is restricted by a graph structure: a subset of players can form a coalition if and only if they are connected in the given graph. We investigate the complexity of finding stable outcomes in such games, for several notions of stability. In particular, we provide an efficient algorithm that finds an individually st...

The coordinate transformation for quadrilateral isoparametric elements is well-defined in the finite element literature. However, a corresponding inverse transformation is not found. In fact, it has been commonly believed that no explicit solutions to the inverse transformation problem exist. This paper shows that if geometric considerations are used, a complete set of general solutions to the ...

Stability of the solutions to 3D inverse scattering problems with fixed-energy data. Abstract A review of the author's results is given. Inversion formulas and stability results for the solutions to 3D inverse scattering problems with fixed energy data are obtained. Inversion of exact and noisy data is considered. The inverse potential scattering problem with fixed-energy scattering data is dis...

In this work we extend results from the literature on H∞ design with pole placement constraints to the case of generalized state space models, for both continuous-time and discrete-time systems. We also propose tests using linear matrix inequalities of reduced dimension. © 2005 Elsevier Ltd. All rights reserved.

We discuss techniques for obtaining a numerically stable evaluation of the fully differential cross section for the virtual photon correction to single hard photon bremsstrahlung in two different computational schemes. We also compare the role of finite mass corrections in these schemes.

Competition in the Þnancial sector is more complex than in the rest of the economy. On the one hand, concentration in the banking industry reduces (static) efficiency as it does in any industry. On the other hand, concentration may also affect the stability of the banking industry in ways that have no counterpart in other industries. In this paper we consider a variety of models of competition ...

We prove a main gap theorem for locally saturated submodels of a homogeneous structure. We also study the number of locally saturated models, which are not elementarily embeddable to each other. Through out this paper we assume that M is a homogeneous model of similarity type (=language) L . We study elementary submodels of M . We use M as the monster model is used in stability theory and so we...

In this paper, we prove a central limit theorem for a sequence of multiple Skorohod integrals using the techniques of Malliavin calculus. The convergence is stable, and the limit is a conditionally Gaussian random variable. Some applications to sequences of multiple stochastic integrals, and renormalized weighted quadratic variation of the fractional Brownian motion are discussed.

We consider a fully discrete implicit nite element approximation of a model for phase separation of a multi-component alloy. We prove existence, uniqueness and stability of the numerical solution for a suuciently small time step. We prove convergence to the solution of the associated continuous problem. We perform a linear stability analysis of the equations and describe some numerical experime...