Results 111 to 120 of about 846,626 (359)
An averaged form of Chowla's conjecture [PDF]
, 2015 Let $\lambda$ denote the Liouville function. A well known conjecture of Chowla asserts that for any distinct natural numbers $h_1,\dots,h_k$, one has $\sum_{1 \leq n \leq X} \lambda(n+h_1) \dotsm \lambda(n+h_k) = o(X)$ as $X \to \infty$.
Kaisa Matomaki, Maksym Radziwill, T. Tao
semanticscholar +1 more source
FEBS Letters, EarlyView.In lymphoid organs, antigen recognition and B cell receptor signaling rely on integrins and the cytoskeleton. Integrins act as mechanoreceptors, couple B cell receptor activation to cytoskeletal remodeling, and support immune synapse formation as well as antigen extraction.
Abhishek Pethe, Tanja Nicole Hartmann
wiley +1 more source
The Crystallization Conjecture: A Review [PDF]
, 2015 In this article we describe the crystallization conjecture. It states that, in appropriate physical conditions, interacting particles always place themselves into periodic configurations, breaking thereby the natural translation-invariance of the system.
X. Blanc, Mathieu Lewin
semanticscholar +1 more source
FEBS Letters, EarlyView.Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke +2 more
wiley +1 more source
The automatic continuity for particular type of homomorphism nonassociative algebras [PDF]
مجلة التربية والعلم, 2008 Rodriguez conjecture ensures the automatic continuity of a dense range homomorphism from a complete normed nonassociative algebra into another one with zero strong radical. Rodriguez conjecture still unsolved.
Roqya Ballo, Amer Mohammed
doaj +1 more source
Relaxion monodromy and the Weak Gravity Conjecture [PDF]
, 2015 A bstractThe recently proposed relaxion models require extremely large trans-Planckian axion excursions as well as a potential explicitly violating the axion shift symmetry.
L. Ibáñez +3 more
semanticscholar +1 more source
On a conjecture of Révész [PDF]
Proceedings of the American Mathematical Society, 1995 Summary: Let \(\{X_ n, n \geq 1\}\) be i.i.d. random variables with \(P(X_ i = \pm 1) = {1 \over 2}\). \textit{P. Révész} [Random walk in random and non- random environments (1990; Zbl 0733.60091)] proved \[ \begin{aligned} 1 & \leq \liminf_{n \to \infty} \max_{0 \leq j < n} \max_{1 \leq k \leq n - j} (2k \log n)^{-1/2} (S_{j + k} - S_ j) \\ & \leq ...
openaire +3 more sources
A stepwise emergence of evolution in the RNA world
FEBS Letters, EarlyView.How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
Entanglement entropy and vacuum states in Schwarzschild geometry
Journal of High Energy Physics, 2022 Recently, it was proposed that there must be either large violation of the additivity conjecture or a set of disentangled states of the black hole in the AdS/CFT correspondence.
Yoshinori Matsuo
doaj +1 more source
Planckian axions and the Weak Gravity Conjecture [PDF]
, 2015 A bstractSeveral recent works [1-3] have claimed that the Weak Gravity Conjecture (WGC) excludes super-Planckian displacements of axion fields, and hence large-field axion inflation, in the absence of monodromy.
Thomas C. Bachlechner +2 more
semanticscholar +1 more source