3 2.3. The embedded discrete-time Hawkes process 5 2.4. Drift of a discrete-time Markov process 6 2.5. A digression on stochastic stability 7 3. Auxiliary Results 8 3.1. V−uniform ergodicity of the intensity of a Hawkes process 8 3.2. V−uniform ergodicity of the intensity of a multivariate Hawkes process 10 3.3. V-uniform ergodicity of a " birth-death " Hawkes process 13 4. Application to order...

Semiuniform convergence spaces form a common generalization of lter spaces (including symmetric convergence spaces and thus symmetric topological spaces] as well as Cauchy spaces) and uniform limit spaces (including uniform spaces) with many convenient properties such as cartesian closedness, hereditariness and the fact that products of quotients are quotients. Here, for each semiuniform conver...

We introduce a non-uniform subdivision algorithm that partitions the neighborhood of an extraordinary point in the ratio σ : 1 − σ, where σ ∈ (0, 1). We call σ the speed of the non-uniform subdivision and verify C continuity of the limit surface. For σ = 1/2, the Catmull-Clark limit surface is recovered. Other speeds are useful to vary the relative width of the polynomial spline rings generated...

In the work it is shown that not all limit points of poles of the Padé approximants for the last intermediate row are obstructions for uniform convergence of the whole row to an approximable function. The corresponding examples are constructed. For some classes of meromorphic functions it is found under what conditions the limit point is not the obstruction for the uniform convergence of the la...

We prove uniform convergence results for the integrated periodogram of a weakly dependent time series, namely a law of large numbers and a central limit theorem. These results are applied to Whittle’s parametric estimation. Under general weak-dependence assumptions we derive uniform limit theorems and asymptotic normality of Whittle’s estimate for a large class of models. For instance the causa...

At the moment, Moshanir loading code which has been provided by Tavanir Company in 1998 is used for loading transmission line towers. Also ASCE52 are applied for designing these structures. In the above Moshanir loading code, loading parameters such as, maximum yearly ice thickness, maximum monthly ice thickness, maximum yearly wind speed and maximum monthly wind speed have been considered as ...

First, we introduce the concept of pullback ω-limit compactness for multivalued processes, as an extension of the similar concept in the autonomous and nonautonomous framework. Next, we present the necessary and sufficient conditions (pullback dissipativeness and pullback ω-limit compactness) for the existence of a nonempty local bounded kernel (kernel sections are all compact, invariant and pu...