Results 51 to 60 of about 15,675 (260)

Restricted Tweedie stochastic block models

Canadian Journal of Statistics, EarlyView.
Abstract The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an adjacency matrix that consists of nonnegative zero‐inflated continuous edge weights.
Jie Jian, Mu Zhu, Peijun Sang
wiley   +1 more source

On the maximal directional Hilbert transform in three dimensions

, 2018
We establish the sharp growth rate, in terms of cardinality, of the $L^p$ norms of the maximal Hilbert transform $H_\Omega$ along finite subsets of a finite order lacunary set of directions $\Omega \subset \mathbb R^3$, answering a question of Parcet and
Di Plinio, Francesco, Parissis, Ioannis
core   +1 more source

Pointwise Multipliers of Triebel-Lizorkin Spaces on Carnot-Carathéodory Spaces [PDF]

Journal of Function Spaces and Applications, 2012
Summary: Let \((\mathcal X, d, \mu)\) be a Carnot-Carathéodory space, namely, \(\mathcal X\) is a smooth manifold, \(d\) is a control, or Carnot-Carathéodory, metric induced by a collection of vector fields of finite type. \(\mu\) is a nonnegative Borel regular measure on \(\mathcal X\) satisfying that there exists a constant \(C_0 \in [1, \infty ...
Yanchang Han, Fang Wang
openaire   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

On multipliers in weighted Sobolev spaces. Part II

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M (X → Y )denotes the multiplier space on the pair (X,
A. Myrzagaliyeva
doaj  

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

On multipliers in weighted Sobolev spaces. Part I

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M(X → Y )denotes the multiplier space on the pair (X,
L. Kussainova, A. Myrzagaliyeva
doaj  

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

Sparse Bounds for Discrete Quadratic Phase Hilbert Transform

, 2017
Consider the discrete quadratic phase Hilbert Transform acting on $\ell^{2}$ finitely supported functions $$ H^{\alpha} f(n) : = \sum_{m \neq 0} \frac{e^{2 \pi i\alpha m^2} f(n - m)}{m}.
Kesler, Robert, Mena, Darío
core   +1 more source

Pointwise multipliers for Campanato spaces on Gauss measure spaces [PDF]

Nagoya Mathematical Journal, 2014
Abstract In this paper, the authors characterize pointwise multipliers for Campanato spaces on the Gauss measure space (ℝ n ,| · |,γ), which includes BMO(γ) as a special case. As applications, several examples of the pointwise multipliers are given. Also, the authors give an example of a nonnegative function in BMO(γ) but not in BLO(γ).
Liu, Liguang, Yang, Dachun
openaire   +2 more sources