Results 41 to 50 of about 316,005 (140)

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, Leslie Molag, Joaquim Ortega‐Cerdà   +2 more
wiley   +1 more source

Berezin transform in polynomial Bergman spaces

, 2010
Fix a smooth weight function Q in the plane, subject to a growth condition from below. Let K_(m,n) denote the reproducing kernel for the Hilbert space of analytic polynomials of degree at most n - 1 of finite L^2-norm with respect to the measure e^(-mQ ...
Hedenmalm, Håkan, Ameur, Yacin, Ameur, Yacin,, Makarov, Nikolai, Hedenmalm, Håkan,   +4 more
core   +1 more source

Protective Role of Physical Exercise and Exercise‐Induced FNDC5/Irisin in Combating Diabetes‐Related Cognitive Impairment and Autonomic and Peripheral Neuropathies: A Comprehensive Review

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, Hosein Ataei-Goujani, Amirali Ahrabi, Munmun Chattopadhyay   +3 more
wiley   +1 more source

On the Berezin symbol [PDF]

, 1994
Let ${\cal H}$ be a functional Hilbert space of analytic functions on a complex domain $\Omega,$ with the normalized reproducing kernel function $k\sb{z},\ z\in\Omega.$ If A is a linear map of ${\cal H}$ into itself, the Berezin symbol, A, of A is ...
Kilic-Bahi, Semra
core   +1 more source

Berezin-Toeplitz quantization on Kaehler manifolds

, 2012
45 pages, footnote at page 3 and Remark 0.5 added; v.3 is a final update to agree with the published paperWe study the Berezin-Toeplitz quantization on Kaehler manifolds.
Ma, Xiaonan, Marinescu, George
core   +1 more source

Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions

Kuwait Journal of Science, 2016
Let D be the unit disc of complex plane C, and H=Hol(D) the class of functions analytic in D. Recall that an f∈Hol(D) is said to belong to the Bloch space B=B(D) if ‖f‖_{B}:=sup_{z∈D}(1-|z|²)|f′(z)|
Mübariz T. Garayev, Mehmet Gürdal, Ulaş Yamancı   +2 more
doaj  

Inequalities involving Berezin norm and Berezin number of Hilbert space operators

Journal of Mathematical Inequalities
Summary: This paper presents several Berezin number and norm inequalities for Hilbert space operators. These inequalities improve some earlier related inequalities. Among other inequalities, it is shown that if \(A\) is a bounded linear operator on a Hilbert space, then \[ \mathbf{ber}^2(A) \leqslant \left\|\frac{A^\ast A + AA^\ast}{2} - \frac{1}{2R ...
Nikzat, Elham, Omidvar, Mohsen Erfanian
openaire   +1 more source

Calibration of Flow Cytometers Enables Reproducible Measurements of Extracellular Vesicle Concentrations and Reference Range Establishment

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, Bo Li, Kim Falkena, Ton G. van Leeuwen, Christian Gollwitzer, Zoltán Varga, Nadine Ajzenberg, Jovan P. Antovic, Pascale Berckmans, Edit I. Buzas, Randy P. Carney, Sean Cook, Françoise Dignat‐George, Dorothee Faille, Bernd Giebel, Jennifer C. Jones, Yohan Kim, Romaric Lacroix, Joanne Lannigan, Fabrice Lucien, Katariina Maaninka, Erika G. Marques de Menezes, Annette Meyer, Rachel R. Mizenko, Inge Nelissen, John Nolan, Philip J. Norris, Desmond Pink, Sumeet Poudel, Stéphane Robert, Pia R.‐M. Siljander, Vera A. Tang, Tobias Tertel, Tina Van Den Broeck, Lili Wang, Joshua A. Welsh, Rienk Nieuwland, Edwin van der Pol   +37 more
wiley   +1 more source

New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space

, 2021
We use Kittaneh and Manasrah inequality and Kian’s functional calculus method to prove some new inequalities for Berezin symbols and Berezin numbers of operators.
Tapdıgoğlu, Ramiz, Ramiz Tapdigoglu
core   +1 more source

MHD Forecasting of Solar Wind With Coronal Mass Ejections

Space Weather, Volume 23, Issue 12, December 2025.
Abstract We present a model, implemented as an online service, for predicting the speed and density of solar wind in the inner heliosphere and near Earth. The model is based on a numerical magnetohydrodynamics code PLUTO. The inner boundary maps are continuously obtained from the National Centers for Environmental Prediction, where they are updated 1 ...
S. Arutyunyan, A. Kodukov, M. Subbotin, D. Pavlov   +3 more
wiley   +1 more source