Results 211 to 220 of about 852,061 (269)

Agent‐Based Computational Modeling of the Stochastic Dynamic Behavior of Actin Filaments Recapitulates the Homeostatic Cortical Array in Plant Epidermal Cells

open access: yesCytoskeleton, EarlyView.
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
wiley   +1 more source

Morse Theory for the <i>k</i>-NN Distance Function. [PDF]

open access: yesDiscrete Comput Geom
Reani Y, Bobrowski O.
europepmc   +1 more source

Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
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
wiley   +1 more source

Existence of Full Replica Symmetry Breaking for the Sherrington–Kirkpatrick Model at Low Temperature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We verify the existence of full replica symmetry breaking (FRSB) for the Sherrington–Kirkpatrick (SK) model and determine the structure of its Parisi measure slightly beyond the high temperature regime. More specifically, we prove that the support of the Parisi measure for the SK model consists of an interval starting at the origin slightly ...
Yuxin Zhou
wiley   +1 more source

Anomalous Geodesics in the Inhomogeneous Corner Growth Model. [PDF]

open access: yesCommun Math Phys
Emrah E, Janjigian C, Seppäläinen T.
europepmc   +1 more source

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli   +3 more
wiley   +1 more source

The shifted convolution problem in function fields. [PDF]

open access: yesMath Ann
Florea A, Lalín M, Malik A, Sahay A.
europepmc   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

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