Results 11 to 20 of about 4,507 (93)
Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]
, 2010 We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire +15 more
core +3 more sources
Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces
, 2018 We establish new approximation results, in the sense of Lusin, of Sobolev functions by Lipschitz ones, in some classes of non-doubling metric measure structures.
Bo-Shi Wang (805841) +10 more
core +5 more sources
On conformal measures and harmonic functions for group extensions
, 2011 We prove a Perron-Frobenius-Ruelle theorem for group extensions of topological Markov chains based on a construction of $\sigma$-finite conformal measures and give applications to the construction of harmonic functions.Comment: To appear in Proceedings ...
Mildred S Yang (59694) +1 more
core +7 more sources
Generalized Non-Homogeneous Morrey Spaces And Olsen Inequality [PDF]
, 2008 In this paper, we shall discuss some properties of generalized non-homogeneous Morrey spaces. In addition, we will also prove the Olsen inequality in the non-homogeneous setting.
H. Gunawan, . +3 more
core
John-Nirenberg lemmas for a doubling measure
, 2010 We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderon-Zygmund decomposition in metric spaces and use it to prove the corresponding ...
Aalto, Daniel +3 more
core +1 more source
A Fatou theorem for $F$-harmonic functions
, 2016 In this paper we study a class of functions that appear naturally in some equidistribution problems and that we call $F$-harmonic. These are functions of the universal cover of a closed and negatively curved which possess an integral representation ...
Alvarez, Sébastien
core +1 more source
From Monge-Ampere equations to envelopes and geodesic rays in the zero temperature limit [PDF]
, 2017 Let X be a compact complex manifold equipped with a smooth (but not necessarily positive) closed form theta of one-one type. By a well-known envelope construction this data determines a canonical theta-psh function u which is not two times differentiable,
Berman, Robert J.
core
Empirical Bayes conditional density estimation
, 2015 The problem of nonparametric estimation of the conditional density of a response, given a vector of explanatory variables, is classical and of prominent importance in many prediction problems since the conditional density provides a more comprehensive ...
Scricciolo, Catia
core +2 more sources
Hashing-Based-Estimators for Kernel Density in High Dimensions
, 2018 Given a set of points $P\subset \mathbb{R}^{d}$ and a kernel $k$, the Kernel Density Estimate at a point $x\in\mathbb{R}^{d}$ is defined as $\mathrm{KDE}_{P}(x)=\frac{1}{|P|}\sum_{y\in P} k(x,y)$.
Charikar, Moses, Siminelakis, Paris
core +1 more source
Geometry of escort distributions
, 2003 Given an original distribution, its statistical and probabilistic attributs may be scanned by the associated escort distribution introduced by Beck and Schlogl and employed in the formulation of nonextensive statistical mechanics.
A. K. Rajagopal +17 more
core +1 more source