Discontinuous velocity domain splitting in limit analysis

LIMIT AVERAGE SHADOWING AND DOMINATED SPLITTING

In this paper the notion of limit average shadowing property is introduced for diffeomorphisms on a compact smooth manifold M and a class of diffeomorphisms is given which has the limit average shadowing property, but does not have the shadowing property. Moreover, we prove that for a closed f-invariant set Lambda  of a diffeomorphism f, if Lambda is C1-stably limit average shadowing and t...

Domain oriented analysis of PDE splitting algorithms

A Characteristic Domain Splitting

This work treats a linear convection-diiusion problem. Diiusion and convection may be equally important or convection may dominate the problem. The method of characteristics is combined with an overlapping domain decomposition technique so that domain decomposition is naturally combined with the time stepping. In each time step, the algorithm rst determines the characteristic solution. Then a d...

Splitting Intervals II: Limit Laws for Lengths

In the processes under consideration, a particle of size L splits with exponential rate L ~, 0<c~< oo, and when it splits, it splits into two particles of size LV and L ( 1 V ) where V is independent of the past with d.f. F on (0, 1). Let Z t be the number of particles at t ime t and L~ the size of a r andomly chosen particle. If c~=0, it is well known how the system evolves: e-tZt converges a....

Perfect and limit admissible perfect equilibria in discontinuous games

We compare the properties of several notions of perfectness within classes of compact, metric, and (possibly) discontinuous games, and show that in the presence of payoff discontinuities, standard notions of perfectness may fail a weakening of admissibility termed limit admissibility. We also provide conditions ensuring the existence of a limit admissible perfect equilibrium. These conditions a...