Sharp Conditions for the BBM Formula and Asymptotics of Heat Content-Type Energies. [PDF]
Gennaioli L, Stefani G.
europepmc +1 more source
ABSTRACT The homeostatic cortical actin array in plant cells plays important roles in fundamental processes, including intracellular transport, secretion, cell expansion, and cytoplasmic streaming. In response to diverse chemical and mechanical signals, the cortical array can remodel within minutes to assume new configurations or altered filament ...
June Hyung Kim +4 more
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Normal typicality and dynamical typicality for a random block-band matrix model. [PDF]
Erdős L, Henheik J, Vogel C.
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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A MacMahon analysis view of cylindric partitions. [PDF]
Li R, Uncu AK.
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Investigation of a Lyapunov delta-type inequality with respect to a discrete fractional Green's function. [PDF]
Mohammed PO, Arab M.
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A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
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Solutions behavior of mechanical oscillator equations with impulsive effects under Power Caputo fractional operator and its symmetric cases. [PDF]
Saber H +5 more
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Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
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