We investigate characterizations of the Galois connection sInv–Aut between sets of finitary relations on a base set A and their automorphisms. In particular, for A = ω1, we construct a set R of relations that is closed under all invariant operations on relations and under arbitrary intersections, but is not closed under sInv Aut.

The asymptotic behavior of linear periodic discrete-time H∞ a posteriori filters is discussed in this paper. We extend existing results for time-invariant H∞ filters to Editor: (1) Please provide dates. (2) We left ‘a posteriori’ as italic. OK? study the problems arising from periodic discrete-time systems. Based on quasi-lifting techniques, a sufficient condition for ensuring feasibility and c...

Ulam’s method is a rigorous numerical scheme for approximating invariant densities of dynamical systems. The phase space is partitioned into connected sets and an inter-set transition matrix is computed from the dynamics; an approximate invariant density is read off as the leading left eigenvector of this matrix. When a hole in phase space is introduced, one instead searches for conditional inv...

This article studies the stability crossing set of linear time-invariant systems with two scalar-delay channels. This study is crucial to the complete stability analysis along the idea of D-subdivision. The characteristic quasipolynomial of such systems contains an exponential term with the sum of two delays (cross term) in its exponent. A complete parameterization and geometric characterizatio...

In this paper we study ergodic measures on non-simple Bratteli diagrams of finite rank that are invariant with respect to the cofinal equivalence relation. We describe the structure of finite rank diagrams and prove that every ergodic invariant measure (finite or infinite) is an extension of a finite ergodic measure defined on a simple subdiagram. We find some algebraic criteria in terms of ent...

Using the unimodular Pisot substitution of the free monoid on d letters, the existence of graph-directed self-similar sets fXigi1⁄41; 2;...; d satisfying the set equation (0.0.1) with the positive measure on the A-invariant contracting plane P is well-known, where A is the incidence matrix of the substitution. Moreover, under some conditions, the set fXigi1⁄41; 2;...; d is the prototile of the ...

We prove that there exists a diiusion process whose invariant measure is the three-dimensional polymer measure. The diiusion is constructed by means of the theory of Dirichlet forms on innnite-dimensional state spaces. We prove the closabi-lity of the appropriate pre-Dirichlet form which is of gradient type, using a general closability result by two of the authors. This result does not require ...

We analyse supermembrane instantons (fully wrapped supermembranes) by computing the partition function of the three-dimensional supersymmetrical U(N) matrix model under periodic boundary conditions. By mapping the model to a cohomological field theory and considering a mass-deformation of the model, we show that the partition function exactly leads to the U-duality invariant measure factor ente...

Abstract We prove that an n-component fibered link L in S3 is strongly quasi-positive if and only $\tau(L)=g_3(L)+n-1$, where $g_3(L)$ denotes the Seifert genus τ Ozsváth–Szabó concordance invariant. also provide a table which contains list of some prime links with at most 9 crossings; we explicitly determine ones are their maximal self-linking number.