Eigenfunction scarring and improvements in L∞ bounds
نویسندگان
چکیده
منابع مشابه
Bounds and Improvements for BiBa Signature Schemes
This paper analyzes and improves the recently proposed bins and balls signature (BiBa [23]), a new approach for designing signatures from one-way functions without trapdoors. We rst construct a general framework for signature schemes based on the balls and bins paradigm and propose several new related signature algorithms. The framework also allows us to obtain upper bounds on the security of s...
متن کاملMultiplicative improvements in network reliability bounds
In the network design process, one goal is to select a network topology which is highly reliable. Although there is no universally accepted measure of reliability, the most widely used definition is a probabilistic one. The network is modelled as a probabilistic graph G = (V ,E) , in which V is a set of nodes representing sites in the network, and E is a collection of undirected edges represent...
متن کاملBounds on capacity improvements using spatial filtering
The relationship between the information capacity and the corresponding beam pattern of a multi-sensor array is investigated. From this, bounds on the information capacity improvements possible utilizing spatial filtering in a mulituser environment are established.
متن کاملL Bounds in Normal Approximation
The zero bias distribution W ∗ of W , defined though the characterizing equation EWf(W ) = σ2Ef ′(W ∗) for all smooth functions f , exists for all W with mean zero and finite variance σ2. For W and W ∗ defined on the same probability space, the L1 distance between F , the distribution function of W with EW = 0 and Var(W ) = 1, and the cumulative standard normal Φ has the simple upper bound ||F ...
متن کاملEigenfunction Expansions and Transformation Theory
Generalized eigenfunctions may be regarded as vectors of a basis in a particular direct integral of Hilbert spaces or as elements of the antidual space Φ× in a convenient Gelfand triplet Φ ⊆ H ⊆ Φ×. This work presents a fit treatment for computational purposes of transformations formulas relating different generalized bases of eigenfunctions in both frameworks direct integrals and Gelfand tripl...
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: Analysis & PDE
سال: 2018
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2018.11.801