Results 51 to 60 of about 7,271 (214)

Transference of multilinear Fourier and Schur multipliers acting on non-commutative $L_p$-spaces for non-unimodular groups [PDF]

, 2023
Gerrit Vos
openalex   +1 more source

Frequency Shaping for Improving a Trade‐Off Between Control and Privacy Performance: Beyond Differential Privacy

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe, Yu Kawano, Nobutaka Wada, Ming Cao   +3 more
wiley   +1 more source

Separating Fourier and Schur Multipliers

Journal of Fourier Analysis and Applications
Let $G$ be a locally compact unimodular group, let $1\leq p<\infty$,let $ϕ\in L^\infty(G)$ and assume that the Fourier multiplier $M_ϕ$associated with $ϕ$ is bounded on the noncommutative $L^p$-space $L^p(VN(G))$.Then $M_ϕ\colon L^p(VN(G))\to L^p(VN(G))$ is separating (that is,$\{a^*b=ab^*=0\}\Rightarrow\{M_ϕ(a)^* M_ϕ(b)=M_ϕ(a)M_ϕ(b)^*=0\}$for any ...
Cédric Arhancet, Christoph Kriegler, Christian Le Merdy, Safoura Zadeh   +3 more
openaire   +4 more sources

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

On the order of the Schur multiplier of a pair of finite p-groups II [PDF]

International Journal of Group Theory, 2013
Let G be a finite p-group and N be a normal subgroup of G with |N|=p^n and |M|=p^m. A result of Ellis (1998) shows that the order of the Schur multiplier of such a pair (G,N) of finite p-groups is bounded by p^(1/2 n(2m+n-1)) and hence it is equal to p ...
Behrooz Mashayekhy, Azam Hokmabadi, Fahimeh Mohammadzadeh   +2 more
doaj  

Mixed Super‐Circles

Computer Graphics Forum, EarlyView.
Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel, Thibaut Métivet, Florence Bertails‐Descoubes   +2 more
wiley   +1 more source

On the Exterior Degree of a Finite-Dimensional Lie Algebra

Journal of Mathematics
In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.
Afsaneh Shamsaki, Mohsen Parvizi, Ahmad Erfanian   +2 more
doaj   +1 more source

Compact Schur multipliers [PDF]

Proceedings of the American Mathematical Society, 2000
Let \({\mathcal H}\) stand for an infinite dimensional separable complex Hilbert space. The compact Schur multipliers on the algebra \( B({\mathcal H})\) (of all bounded linear operators over \({\mathcal H}\)) may be identified with the elements of \(c_0\otimes^hc_0\) (= the completion of \(c_0\otimes c_0\) in the Haagerup norm).
openaire   +2 more sources

Trade and Selection With Heterogeneous Firms and Perfect Competition

Review of International Economics, EarlyView.
ABSTRACT This paper extends the Heckscher–Ohlin–Samuelson framework to allow for heterogeneous firms with capacity constraints. We show that the central theorems of the HOS model (as well as their standard generalizations via duality) carry over to our setting.
Xue Bai, Arpita Chatterjee, Kala Krishna, Hong Ma   +3 more
wiley   +1 more source

A Correction to “The Schur Multipliers of the Mathieu Groups” [PDF]

Nagoya Mathematical Journal, 1968
In the paper [1] mentioned in the title, the authors attempted to determine the Schur multipliers of the five simple Mathieu groups. In rechecking the calculations, we find that an error was made, leading to incorrect results for M12 and M22. Our purpose here is to compute again the multipliers of M12 and M22, which turn out to be cyclic groups of ...
Burgoyne, N., Fong, P.
openaire   +2 more sources