Developing a Gudermannian neural network for solving the Painlevé model-II in the context of nonlinear optics. [PDF]
Faisal S +4 more
europepmc +1 more source
Localization sequences for logarithmic topological cyclic homology
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Programming chaotic centers for shaping light branching in topological nematic vortices. [PDF]
Yu X +7 more
europepmc +1 more source
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
wiley +1 more source
Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance. [PDF]
Yu J, Wang LS.
europepmc +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
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
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Frictional moving load-induced dynamic response of a porous piezoelectric micro/nano plate with superficial parabolic discontinuity. [PDF]
Meghana AR +7 more
europepmc +1 more source
High genus surface parameterization using the Euclidean Ricci flow method. [PDF]
Wang YG.
europepmc +1 more source
Rational Singularities on Rational Surfaces (Commutative Algebra and Algebraic Geometry)
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