Results 11 to 20 of about 117 (89)
Molecular Ecology, Volume 33, Issue 15, August 2024.Abstract Rocky habitats, globally distributed ecosystems, harbour diverse biota, including numerous endemic and endangered species. Vascular plants thriving in these environments face challenging abiotic conditions, requiring diverse morphological and physiological adaptations.
Zuzana Gajdošová +8 more
wiley +1 more source
The Metivier inequality and ultradifferentiable hypoellipticity
Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
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Invariant distributions and the transport twistor space of closed surfaces
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract We study transport equations on the unit tangent bundle of a closed oriented Riemannian surface and their links to the transport twistor space of the surface (a complex surface naturally tailored to the geodesic vector field). We show that fibrewise holomorphic distributions invariant under the geodesic flow — which play an important role in ...
Jan Bohr +2 more
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Soft Riemann‐Hilbert problems and planar orthogonal polynomials
Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley +1 more source
Resurgent aspects of applied exponential asymptotics
Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
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Inversion formula for an integral geometry problem over surfaces of revolution
Studies in Applied Mathematics, Volume 152, Issue 3, Page 1026-1043, April 2024.Abstract An integral geometry problem is considered on a family of n$n$‐dimensional surfaces of revolution whose vertices lie on a hyperplane and directions of symmetry axes are fixed and orthogonal to this plane, in Rn+1$\mathbb {R} ^{n+1}$. More precisely, the reconstruction of a function f(x,y)$f(\mathbf {x,}y)$, x∈Rn$\mathbf {x}\in \mathbb {R} ^{n}$
Zekeriya Ustaoglu
wiley +1 more source
Off‐diagonal estimates for the helical maximal function
Proceedings of the London Mathematical Society, Volume 128, Issue 4, April 2024.Abstract The optimal Lp→Lq$L^p \rightarrow L^q$ mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analysis and, in particular, a localised version of the Bennett–Carbery–Tao restriction theorem.
David Beltran +2 more
wiley +1 more source
Brane structures in microlocal sheaf theory
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract Let L$L$ be an exact Lagrangian submanifold of a cotangent bundle T∗M$T^* M$, asymptotic to a Legendrian submanifold Λ⊂T∞M$\Lambda \subset T^{\infty } M$. We study a locally constant sheaf of ∞$\infty$‐categories on L$L$, called the sheaf of brane structures or BraneL$\mathrm{Brane}_L$.
Xin Jin, David Treumann
wiley +1 more source
Logarithmic cotangent bundles, Chern‐Mather classes, and the Huh‐Sturmfels involution conjecture
Communications on Pure and Applied Mathematics, Volume 77, Issue 2, Page 1486-1508, February 2024.Abstract Using compactifications in the logarithmic cotangent bundle, we obtain a formula for the Chern classes of the pushforward of Lagrangian cycles under an open embedding with normal crossing complement. This generalizes earlier results of Aluffi and Wu‐Zhou.
Laurenţiu G. Maxim +3 more
wiley +1 more source
Optimal sparsity allows reliable system-aware restoration of fluorescence microscopy images. [PDF]
Sci Adv, 2023 Mandracchia B +8 more
europepmc +1 more source