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Looking at bivariate copulas from the perspective of conditional distributions and considering weak convergence of almost all conditional distributions yields the notion of weak conditional convergence. At first glance, this notion of…

Statistics Theory · Mathematics 2020-10-12 Thimo M. Kasper , Sebastian Fuchs , Wolfgang Trutschnig

In this paper we discuss how to define an appropriate notion of weak topology in the Wasserstein space $(\mathcal{P}_2(H),W_2)$ of Borel probability measures with finite quadratic moment on a separable Hilbert space $H$. We will show that…

Optimization and Control · Mathematics 2021-04-14 Emanuele Naldi , Giuseppe Savaré

We consider the class of weakly porous sets in Euclidean spaces. As our main goal, we give a precise characterization in terms of dyadic covering of these sets. Also, we obtain the Carleson embedding inequality for porous sets.

Functional Analysis · Mathematics 2024-10-14 Andrei Vasin

Hyperbolic-parabolic systems have spatially homogenous stationary states. When the dissipation is weak, one can derive weakly nonlinear-dissipative approximations that govern perturbations of these constant states. These approximations are…

Analysis of PDEs · Mathematics 2009-04-24 Ning Jiang , C. David Levermore

We study the notions of weak partial $b$-metric space and weak partial Hausdorff $b$-metric space. Moreover, we intend to generalize Nadler's theorem in weak partial $b$-metric space by using weak partial Hausdorff $b$-metric spaces. A…

General Topology · Mathematics 2018-11-20 Tanzeela Kanwal , Azhar Hussain

Weak topologies that yield weak convergence for bounded sequences and nets in CAT($0$) spaces have been studied in the past. We are here concerned with weak topologies that yield weak convergence of unbounded sequences and nets. We analyze…

Metric Geometry · Mathematics 2022-04-05 Philip Miller , Arian Berdellima , Max Wardetzky

We explore the relation of weak conjugacy in the group of homeomorphisms isotopic to the identity, for surfaces.

Dynamical Systems · Mathematics 2024-07-02 Frédéric Le Roux , Alejandro Passeggi , Martin Sambarino , Maxime Wolff

We will study two subclasses of the class of feebly compact spaces in the class of (para)topological groups, the compact-bounded and weakly compact-bounded spaces, both introduced by J. Angoa, Y. F. Ortiz-Castillo and A. Tamariz-Mascar\'ua…

General Topology · Mathematics 2023-09-06 J. A. Martínez-Cadena

The weak value approximation has been in use for thirty-five years, but it has not as of yet received a truly complete derivation, leaving its mathematical validity in a state of limbo. Herein, I fill this gap, deriving the weak value…

Quantum Physics · Physics 2026-01-12 Benjamin Noë Bauml

We show that a compact Riemannian manifold with weakly 1/4-pinched sectional curvatures is either locally symmetric or diffeomorphic to a space form.

Differential Geometry · Mathematics 2008-07-18 S. Brendle , R. M. Schoen

We examine the weak-field approximation of locally Galilean invariant gravitational theories with general covariance in a $(4+1)$-dimensional Galilean framework. The additional degrees of freedom allow us to obtain Poisson, diffusion, and…

General Relativity and Quantum Cosmology · Physics 2009-10-27 R. R. Cuzinatto , P. J. Pompeia , M. de Montigny , F. C. Khanna

In the context of spatial logics and spatial model checking for polyhedral models -- mathematical basis for visualisations in continuous space -- we propose a weakening of simplicial bisimilarity. We additionally propose a corresponding…

Logic in Computer Science · Computer Science 2024-04-19 Nick Bezhanishvili , Vincenzo Ciancia , David Gabelaia , Mamuka Jibladze , Diego Latella , Mieke Massink , Erik P. de Vink

Weighted quadratic estimates are proved for certain bisectorial firstorder differential operators with bounded measurable coefficients which are (not necessarily pointwise) accretive, on complete manifolds with positive injectivity radius.…

Analysis of PDEs · Mathematics 2024-05-29 Pascal Auscher , Andrew J. Morris , Andreas Rosén

The aim of this paper is to introduce an algebraic structure on the set of all coalgebras with the same state space over the given type which allows us to present definitions of weak and delay bisimulation for coalgebras. Additionally, we…

Logic in Computer Science · Computer Science 2013-09-06 Tomasz Brengos

We show that there is an almost complex structure on a differential calculus on finite points coming from a bidirected finite graph without multiple edges or loops. We concentrate on a polygon as a concrete case. In particular, a…

Quantum Algebra · Mathematics 2024-06-07 Soumalya Joardar , Atibur Rahaman

In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established. With the help of weak atomic decompositions, a sufficient…

Functional Analysis · Mathematics 2013-04-16 Yong Jiao , Lian Wu

Let $k$ be a $d$-local field of characteristic 0, and let $K$ be the function field of a nice curve over $k$. We give a defect to weak approximation for reductive groups over $K$ using arithmetic dualities.

Number Theory · Mathematics 2025-09-05 Zhongda Li , Che Liu , Haoxiang Pan

We give an extended review of recent work on the extended weak coupling limit. Background material on completely positive semigroups and their unitary dilations is given, as well as a particularly easy construction of `quadratic noises'.

Mathematical Physics · Physics 2007-06-12 J. Derezinski , W. De Roeck

In this paper we introduce the class of weak Heyting Brouwer algebras (WHB-algebras, for short). We extend the well known duality between distributive lattices and Priestley spaces, in order to exhibit a relational Priestley-like duality…

Logic · Mathematics 2023-12-19 Sergio Celani , Agustín Nagy , William Zuluaga Botero

We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak topologies.

Metric Geometry · Mathematics 2023-08-01 Alexander Lytchak , Anton Petrunin