Results 61 to 70 of about 37,723 (299)
Critical Exponents of the Riesz Projection
Computational Methods and Function TheoryLet $\mathfrak{p}_d(q)$ denote the critical exponent of the Riesz projection from $L^q(\mathbb{T}^d)$ to the Hardy space $H^p(\mathbb{T}^d)$, where $\mathbb{T}$ is the unit circle. We present the state-of-the-art on the conjecture that $\mathfrak{p}_1(q) = 4(1-1/q)$ for $1 \leq q \leq \infty$ and prove that it holds in the endpoint case $q = 1$.
Brevig, Ole Fredrik +2 more
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Critical Exponents for Random Knots [PDF]
Physical Review Letters, 2000 The size of a zero thickness (no excluded volume) polymer ring is shown to scale with chain length $N$ in the same way as the size of the excluded volume (self-avoiding) linear polymer, as $N^ν$, where $ν\approx 0.588$. The consequences of that fact are examined, including sizes of trivial and non-trivial knots.
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Why human connection is the true metric of research success
FEBS Open Bio, EarlyView.Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
wiley +1 more source
Universality versus nonuniversality in asymmetric fluid criticality
Condensed Matter Physics, 2013 Critical phenomena in real fluids demonstrate a combination of universal features caused by the divergence of long-range fluctuations of density and nonuniversal (system-dependent) features associated with specific intermolecular interactions ...
M.A. Anisimov
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Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term
Advances in Difference Equations, 2018 This paper deals with the existence and non-existence of the global solutions to the Cauchy problem of a semilinear parabolic equation with a gradient term.
Yang Na +3 more
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Corrigendum to “The critical exponent functions”
Comptes Rendus. MathématiqueWe give a corrigendum to our paper [1] entitled “The critical exponent functions”.
Corona, Dario, Della Corte, Alessandro
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Aquaporin‐3 and aquaporin‐5 impact the development of pancreatic ductal adenocarcinoma spheroids
FEBS Open Bio, EarlyView.Schematic representation of the role of aquaporin‐3 (AQP3) and aquaporin‐5 (AQP5) in pancreatic ductal adenocarcinoma (PDAC). Both proteins are upregulated in PDAC and are associated with tumor progression and metastatic potential. Silencing AQP3 or AQP5 in PDAC spheroids results in decreased diameter, area, and overall growth, underscoring their key ...
Catarina Pimpão +3 more
wiley +1 more source
Critical exponent analysis of Cu-doped SrRuO3 perovskite: SrRu0.925Cu0.075O3
Results in Surfaces and InterfacesAs an itinerant ferromagnet with strong spin-orbit coupling and high magnetocrystalline anisotropy, the SrRuO3 is ideal for studying correlated magnetism, while doping at Ru-site enables precise control over its electronic and magnetic properties.
Kiruthiga Devi B. +4 more
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Fixed Points in Quantum Theories
, 2020 Exact renormalization group flow equations are treated numerically and phase structure is obtained. The phase structure of the phi^4 model is calculated.
Gürses, Eyüp
core
Aging and Cancer, EarlyView.ABSTRACT As global populations age, cancer is increasingly becoming a leading cause of morbidity and mortality among older adults, particularly in low‐ and middle‐income countries (LMICs). Despite accounting for the majority of new cancer cases and deaths, older individuals remain underrepresented in cancer research, clinical guidelines, and health ...
Ibrahim Bidemi Abdullateef +2 more
wiley +1 more source