Results 51 to 60 of about 257 (144)
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
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Central limit theorem for smooth statistics of one‐dimensional free fermions
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract We consider the determinantal point processes associated with the spectral projectors of a Schrödinger operator on R$\mathbb {R}$, with a smooth confining potential. In the semiclassical limit, where the number of particles tends to infinity, we obtain a Szegő‐type central limit theorem for the fluctuations of smooth linear statistics.
Alix Deleporte, Gaultier Lambert
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The Berezin transform and radial operators [PDF]
Proceedings of the American Mathematical Society, 2002 We analyze the connection between compactness of operators on the Bergman space and the boundary behaviour of the corresponding Berezin transform. We prove that for a special class of operators that we call radial operators, an oscilation criterion is a sufficient condition under which the compactness of an operator is equivalent ...
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Physiological Reports, Volume 12, Issue 23, December 2024.Abstract Growth differentiation factor (GDF15) has been considered a biomarker and recently a hormonal driver for diseases in different populations. However, the role of GDF15 as a biomarker of health outcomes in obese men from different racial/ethnic background has not been evaluated.
Siresha Bathina +10 more
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Water Resources Research, Volume 60, Issue 11, November 2024.Abstract The erosion‐deposition propagation of granular avalanches is prevalent and may increase their destructiveness. However, this process has rarely been reported for debris flows on gentle slopes, and the contribution of momentum hidden under the surge front to debris‐flow destructiveness is ambiguous.
Qian Chen +6 more
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Functions Invariant under the Berezin Transform
Journal of Functional Analysis, 1994 The author shows that a bounded function \(f\) satisfies \(Bf= f\), where \(B\) is the Berezin transform on the unit disc, if and only if \(f\) is harmonic. There is an equivalent formulation of this result [\textit{S. Axler} and \textit{Ž. Čučković}, Integral Equations Oper. Theory 14, No. 1, 1-12 (1991; Zbl 0733.47027); \textit{W.
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, 2010 Let $\ds dA=\frac{dxdy}π$ denote the normalized Lebesgue area measure on the unit disk $\disk$ and $u$, a summable function on $\disk$. $$B(u)(z)=\int_\disk u(ζ)\frac{(1-|z|^2)^2}{|1-ζ\oln z|^4}dA(ζ)$$ is called the Berezin transform of $u$. Ahern \cite{a} described all the possible triples $\{u,f,g\}$ for which $$B(u)(z)=f(z)\oln g(z)$$ where both $f ...
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Iterates of a Berezin-type transform
Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles. [PDF]
Lett Math Phys, 2023 Abreu LD.
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Toeplltz operators and the Berezin transform on H2
Linear Algebra and its Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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