Results 41 to 50 of about 254 (149)
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
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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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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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BOUNDEDNESS OF BEREZIN TRANSFORM ON HERZ SPACES [PDF]
Journal of the Korean Mathematical Society, 2012 In this paper, we give the condition for the boundedness of the Berezin transforms on Herz spaces with a normal weight on the unit ball of . And we provide the integral estimates concerning pluriharmonic kernel functions. Using this, we finally obtain the growth estimates of the Berezin transforms on such Herz spaces.
Chu-Hee Cho, Kyun-Guk Na
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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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, 2010 Let $\ds dA=\frac{dxdy} $ denote the normalized Lebesgue area measure on the unit disk $\disk$ and $u$, a summable function on $\disk$. $$B(u)(z)=\int_\disk u( )\frac{(1-|z|^2)^2}{|1- \oln z|^4}dA( )$$ 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
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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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International Journal of Urban and Regional Research, Volume 48, Issue 5, Page 743-763, September 2024.Abstract During the late 2010s, pro‐immigrant activists in the politically progressive municipality of Mayville, California (pseudonym) mounted a campaign to enact a radically egalitarian sanctuary city policy (“sanctuary for all”) that would have changed the boundaries of urban citizenship.
Walter Nicholls
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Local limits in p$p$‐adic random matrix theory
Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.Abstract We study the distribution of singular numbers of products of certain classes of p$p$‐adic random matrices, as both the matrix size and number of products go to ∞$\infty$ simultaneously. In this limit, we prove convergence of the local statistics to a new random point configuration on Z$\mathbb {Z}$, defined explicitly in terms of certain ...
Roger Van Peski
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