Fractional differentiation in the self-affine case II - Extremal processes
نویسندگان
چکیده
منابع مشابه
Affine stationary processes with applications to fractional Brownian motion
ABSTIUCT In our previous work, we introduced a new class of nonstationary stochastic processes whose spectral representation is associated with the wavelet transforms and established a mathematical framework for the analysis of such processes 111. We refer to these processes as uffine stptionary processes. These processes are indexed by the affine p u p , or ax+b group, which can be though of a...
متن کاملNon - extremal fractional branes †
We construct non-extremal fractional D-brane solutions of type-II string theory at the Z 2 orbifold point of K3. These solutions generalize known extremal fractional-brane solutions and provide further insights into N = 2 supersymmetric gauge theories and dual descriptions thereof. In particular, we find that for these solutions the horizon radius cannot exceed the non-extremal enhançon radius....
متن کاملGeometry of Self{affine Tiles Ii
We continue the study in part I of geometric properties of self similar and self a ne tiles We give some experimental results from implementing the algorithm in part I for computing the dimension of the boundary of a self similar tile and we describe some conjectures that result We prove that the dimension of the boundary may assume values arbitrarily close to the dimension of the tile We give ...
متن کاملThe Extremal Solution for the Fractional Laplacian
We study the extremal solution for the problem (−∆)u = λf(u) in Ω, u ≡ 0 in R \ Ω, where λ > 0 is a parameter and s ∈ (0, 1). We extend some well known results for the extremal solution when the operator is the Laplacian to this nonlocal case. For general convex nonlinearities we prove that the extremal solution is bounded in dimensions n < 4s. We also show that, for exponential and power-like ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1993
ISSN: 0304-4149
DOI: 10.1016/0304-4149(93)90060-h