E C 33 34 35 36 37 38 39 40 41 42 43 44 45 46 Article history: Received 21 May 2008 Received in revised form 1 May 2009 Accepted 1 May 2009 Available online xxxx

This paper describes a construction of supermartingales realized as automatic functions. A capital of supermartingales is represented using automatic capital groups (ACG). Properties of these automatic supermartingales are then studied. Automatic supermartingales induce a notion of random infinite binary sequence. We show that the class of random sequences coincide with that of disjunctive sequ...

The class of finitely presented algebras over a field K with a set of generators a1, . . . , an and defined by homogeneous relations of the form a1a2 · · · an = aσ(a)aσ(2) · · · aσ(n), where σ runs through a subset H of the symmetric group Sym n of degree n, is introduced. The emphasis is on the case of a cyclic subgroup H of Sym n of order n. A normal form of elements of the algebra is obtaine...

We give an explicit expression for the (finitely) flat remainder after analytic normal form reduction of a family of planar saddles of diffeomorphisms or vector fields. We distinguish between a rational or irrational ratio of the moduli of the eigenvalues at the saddle for a certain value of the parameter.

In this paper we show that an invariant solution for normal form games can be extended uniquely to an invariant solution for strategic form games. This result has Ž . the following consequence for the reduction of a normal form game. Suppose that Ž the pure strategies are removed that are payoff equivalent with some possibly . mixed strategy. Then, if one is concerned with an invariant solution...

We examined the possible relationship between perception and production of /r–l/ by native Japanese speakers. Little evidence of a relationship between the cues used for perception and those for production was found for native Japanese and native English speakers. However, we found evidence of a shift from a reliance on conjunctive cues to single cues as listeners progressed from relatively naï...

The concepts of normal filters and normlets are introduced in a distributive lattice. The class of quasi-complemented lattices are characterized with the help of normlets. Normal filters are also characterized in terms of normlets. Disjunctive lattices are characterized in terms of normal filters. Finally, some properties of the space of prime normal filters are studied in topological sense.