Continuous Breuer-Major theorem for vector valued fields
نویسندگان
چکیده
منابع مشابه
The Baouendi-treves Approximation Theorem for Continuous Vector Fields
This article establishes the Baouendi-Treves approximation theorem for locally integrable structures whose vector fields have continuous coefficients. As a consequence, some uniqueness results are derived.
متن کاملQuantitative Breuer-Major Theorems
We consider sequences of random variables of the type Sn = n −1/2 ∑n k=1{f(Xk)− E[f(Xk)]}, n ≥ 1, where X = (Xk)k∈Z is a d-dimensional Gaussian process and f : Rd → R is a measurable function. It is known that, under certain conditions on f and the covariance function r of X, Sn converges in distribution to a normal variable S. In the present paper we derive several explicit upper bounds for qu...
متن کاملThe Divergence Theorem for Unbounded Vector Fields
In the context of Lebesgue integration, we derive the divergence theorem for unbounded vector fields that can have singularities at every point of a compact set whose Minkowski content of codimension greater than two is finite. The resulting integration by parts theorem is applied to removable sets of holomorphic and harmonic functions. In the context of Lebesgue integration, powerful divergenc...
متن کاملA Comparison Theorem for Hamiltonian Vector Fields
The question of completeness of Hamiltonian systems is investigated for a class of potentials not necessarily bounded below. The result generalizes previous work of W. Gordon and D. Ebin. This paper extends the completeness theorem of Ebin [1] to include certain potential functions V not necessarily bounded below. The condition on V is essentially the same as a condition for a corresponding qua...
متن کاملIsotropy theorem for cosmological vector fields
We consider homogeneous Abelian vector fields in an expanding universe. We find a mechanical analogy in which the system behaves as a particle moving in three dimensions under the action of a central potential. In the case of bounded and rapid evolution compared to the rate of expansion, we show—by making use of the virial theorem—that for an arbitrary potential and polarization pattern, the av...
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 Analysis and Applications
سال: 2020
ISSN: 0736-2994,1532-9356
DOI: 10.1080/07362994.2019.1711118