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We probe the character of knotting in open, confined polymers, assigning knot types to open curves by identifying their projections as virtual knots. In this sense, virtual knots are transitional, lying in between classical knot types,…

Soft Condensed Matter · Physics 2020-01-29 Keith Alexander , Alexander J Taylor , Mark R Dennis

We show that the existence of a weakly compact cardinal over the Zermelo-Fraenkel's set theory is proof-theoretically reducible to iterations of Mostowski collapsings and Mahlo operations.

Logic · Mathematics 2013-04-11 Toshiyasu Arai

Two proofs of a weighted weak-type $\left(1,\ldots,1;\frac{1}{m}\right)$ estimate for multilinear Calder\'on-Zygmund operators are given. The ideas are motivated by different proofs of the classical weak-type $(1,1)$ estimate for…

Classical Analysis and ODEs · Mathematics 2019-10-23 Cody B. Stockdale

A new class of functions called L-fuzzy weakly Semi-Preopen (Semi-Preclosed) functions in L-fuzzy topological spaces are introduced in this paper. Some characterizations of this class and its properties and the relationship with other…

General Topology · Mathematics 2010-10-05 A. Ghareeb

Results are reported for the beta-function of weakly coupled conformal gauge theories on the lattice, SU(3) with Nf=14 fundamental and Nf=3 sextet fermions. The models are chosen to be close to the upper end of the conformal window where…

High Energy Physics - Lattice · Physics 2018-04-18 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

In this paper, we introduce the notion of a weak $(p,k)$-Dirac structure in $TM\oplus \Lambda^pT^*M$, where $0\leq k \leq p-1$. The weak $(p,k)$-Lagrangian condition has more informations than the $(p,k)$-Lagrangian condition and contains…

Differential Geometry · Mathematics 2023-09-20 Yanhui Bi , Zhixiong Chen

Consider the boundary case in a one-dimensional super-critical branching random walk. It is known that upon the survival of the system, the minimal position after $n$ steps behaves in probability like ${3\over 2} \log n$ when $n\to \infty$.…

Probability · Mathematics 2011-02-02 Elie Aidekon , Zhan Shi

We study little string theory in a weak coupling limit defined in \gk.

High Energy Physics - Theory · Physics 2010-04-06 A. Giveon , D. Kutasov

In this paper, we classify all commutative weakly distance-regular digraphs of girth $g$ and one type of arcs under the assumption that $p_{(1,g-1),(1,g-1)}^{(2,g-2)}\geq k_{1,g-1}-2$. In consequence, we recover [13, Theorem 1.1] as a…

Combinatorics · Mathematics 2021-08-03 Yushuang Fan , Zhiqi Wang , Yuefeng Yang

Frieze patterns form a nexus between algebra, combinatorics, and geometry. T-paths with respect to triangulations of surfaces have been used to obtain expansion formulae for cluster variables. This paper will introduce the concepts of weak…

Combinatorics · Mathematics 2020-05-14 Ilke Canakci , Peter Jorgensen

By a closure space we will mean a pair $(A,\mathcal{C})$, in which $A$ is a set and $\mathcal{C}$ a set of subsets of $A$ closed under arbitrary intersections. The purpose of this paper is to initiate a development of descent theory of…

Category Theory · Mathematics 2023-10-26 George Janelidze , Manuela Sobral

Let ${\mathscr M}(p)$ $(p=2,3,\ldots)$ be the singlet vertex operator algebra and $\omega$ its conformal vector. We classify the simple weak ${\mathscr M}(p)$-modules with a non-zero element $u$ such that for some integer $s\geq 2$,…

Quantum Algebra · Mathematics 2020-03-13 Kenichiro Tanabe

Properties of two classes of generally convex sets in the n-dimentional real Euclidean space, called m-semiconvex and weakly m-semiconvex, 1<=m<n, are investigated in the present work. In particular, it is established that an open set with…

Geometric Topology · Mathematics 2017-11-15 Tetiana Osipchuk

In this note we give a new proof of the sharp constant $C = e^{-1/2} + \int_0^1 e^{-x^2/2}\,dx$ in the weak (1, 1) inequality for the dyadic square function. The proof makes use of two Bellman functions $\mathbb{L}$ and $\mathbb{M}$ related…

Classical Analysis and ODEs · Mathematics 2018-12-21 Irina Holmes , Paata Ivanisvili , Alexander Volberg

Let $E$ be a Banach space such that $E'$ has the Radon-Nikod\'ym property. The aim of this work is to connect relative weak compactness in the $E$-valued martingale Hardy space $H^{1}(\mu,E)$ to a convex compactness criterion in a weaker…

Functional Analysis · Mathematics 2024-10-21 Vasily Melnikov

Weak structures abound in higher category theory, but are often suitably equivalent to stricter structures that are easier to understand. We extend strictification for tricategories and trihomomorphisms to trinatural transformations,…

Category Theory · Mathematics 2023-07-06 Adrian Miranda

Weakly constrained double field theory, in the sense of Hull and Zwiebach, captures the subsector of string theory on toroidal backgrounds that includes gravity, $B$-field and dilaton together with all of their massive Kaluza-Klein and…

High Energy Physics - Theory · Physics 2023-09-08 Roberto Bonezzi , Christoph Chiaffrino , Felipe Diaz-Jaramillo , Olaf Hohm

A weak type $(1,1)$ estimate is established for the first order $d$-commutator introduced by Christ and Journ\'e, in dimension $d\ge 2$.

Classical Analysis and ODEs · Mathematics 2016-04-20 Andreas Seeger

The main result of this paper shows that a weak form of Tower Sealing holds in a generic extension of hod mice with a strong cardinal and a proper class of Woodin cardinals. We show Tower Sealing fails in such extensions in general. We show…

Logic · Mathematics 2025-12-09 Grigor Sargsyan , Nam Trang

We give two proofs that the 3-torus is not weakly d-congruent to the connected sum of three S^1xS^2's, if d>2. We study how cohomology ring structure relates to weak congruence. We give an example of three 3--manifolds which are weakly…

Geometric Topology · Mathematics 2015-10-28 Patrick M. Gilmer