Results 41 to 50 of about 257 (144)
Universality for fluctuations of counting statistics of random normal matrices
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
wiley +1 more source
Journal of Diabetes Research, Volume 2026, Issue 1, 2026.The rising prevalence of diabetes has been closely linked to increased mortality and morbidity, particularly as its complications become more widespread. Among the most challenging of these complications are cognitive impairments and diabetic neuropathies, which are neurodegenerative conditions that significantly diminish the quality of life in the ...
Sepideh Poshtdar +3 more
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New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi +4 more
wiley +1 more source
Journal of Extracellular Vesicles, Volume 14, Issue 12, December 2025.ABSTRACT The concentration of cells is a key component of modern blood tests. Given the biomarker potential of extracellular vesicles (EVs) in blood, we aimed to establish reference ranges for blood cell‐derived EVs using flow cytometry. To address the orders‐of‐magnitude variability in reported EV concentrations between different flow cytometers (FCMs)
Britta A. Bettin +37 more
wiley +1 more source
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, Volume 73, Issue 12, December 2025.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
Irisin, the Myokine: Guardian and Mediator in Cardiovascular System
Endocrinology, Diabetes &Metabolism, Volume 8, Issue 6, November 2025.This graphical abstract illustrates the interconnections between key cardiovascular and cerebrovascular conditions, along with potential influencing factors. Central to the diagram are several critical pathological states: Atherosclerosis, which is linked to downstream cardiovascular events such as myocardial infarction and myocardial ischemia ...
Tian Lan +6 more
wiley +1 more source
On the range of the Berezin transform
Journal of Functional Analysis, 2004 Let \(\mathbb{D}\) be the open unit disk in the complex plane. The Bergman space \(B^2\) is the subspace of \(L^2\) consisting of the holomorphic functions on \(\mathbb{D}\). For a bounded function \(u\) on \(\mathbb{D}\), the Toeplitz operator \(T_u\) defined on \(B^2\) is given by \(T_uf= P(uf)\), where \(P: L^2\to B^2\) is the orthogonal projection.
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Annalen der Physik, Volume 537, Issue 9, September 2025.Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley +1 more source
Molecular Microbiology, Volume 124, Issue 1, Page 20-39, July 2025.A novel TetR‐like regulator (EppR) has been identified to repress genes encoding DNA polymerase V in Acinetobacter baumannii through the direct binding of a conserved EppR motif in their promoters. EppR works with previously identified regulator UmuDAb to serve as co‐regulators of these genes. In response to DNA damage and/or environmental stress, both
Brian Nguyen +6 more
wiley +1 more source
Iterates and the boundary behavior of the Berezin transform [PDF]
Annales de l'Institut Fourier, 2001 Let μ be a measure on a domain Ω in ℂ
Arazy, Jonathan, Engliš, Miroslav
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