We prove large deviation principles (LDP) for m-fold products of empirical measures and for U-empirical measures, where the underlying sequence of random variables is a special Markov chain, an exchangeable sequence, a mixing sequence or an independent, but not identically distributed, sequence. The LDP can be formulated on a subset of all probability measures, endowed with a topology which is ...

a. csaszar introduced and extensively studied the notionof generalized open sets. following csazar, we introduce a new notionsuperconnected. the main purpose of this paper is to study generalizedsuperconnected spaces. various characterizations of generalized super-connected spaces and preservation theorems are discussed.

We generalize the notion of a modified trace (or m-trace) to setting non-unimodular categories. M-traces are known play an important role in low-dimensional topology and representation theory, as well studying category itself. Under mild conditions we give existence uniqueness results for m-traces pivotal

In this paper the asymptotic analysis of multi-channel queueing networks is developed. Service processes in a heavy traffic regime for [ | , and -models are considered. Functional limit theorems of diffusion approximation type for service processes are formulated under convergence in uniform topology. A limit non-Markov Gaussian process is constructed, its correlation characteristics are repres...

We consider (n + m + 1) dimensional bulk spacetime, containing flat (n + m 1) dimensional parallel branes, with topology R ×Tm. We assume that the graviton and an m-form field are the only bulk fields and that the m-form field has non vanishing components along the T directions only. We then find that the m-form field, with suitable bulk and brane potentials, can stabilise the radion modulus at...

A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion hyperconnected. We study some specic properties about connected and hyperconnected in generalized topological spaces. Finally, we characterize the connected component in generalized topological spaces.

dL(Mo,M1) = inf[llogdil/l + Ilogdil/-II], f where I: Mo -+ MI is a homeomorphism and dil I is the dilatation of I given by dill = SUPXt#2 dist(f(x l ), l(x2))/ dist(x1 ,x2). If Mo and MI are not homeomorphic, define dL(Mo,M1) = +00. Gromov [20] proves the remarkable result that the space of compact Riemannian manifolds L(A,t5 ,D) of sectional curvature IKI :::; A, injectivity radius i M 2: t5 >...

Let C(X,G) denote the group of continuous functions from a topological space X into a topological group G with the pointwise multiplication and the compact-open topology. We show that there is a natural topology on the collection of normal subgroups A(X) of C(X,G) of the M {f C(X,G): f(p) e} which is P analogous to the hull-kernel topology on the commutative Banach algegra C(X) of all continuou...

In this paper, by defining soft ditopological spaces, a new approach to the soft topology via softset theory is made, with defining two structures on a soft set a soft topology and a softsubspace topology. Moreover, separation axioms in soft ditopological spaces are characterizedand the relations between soft topological and soft ditopological structures are investigated.Referen...