On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Zimmermann P.
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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
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Pattern Formation in Agent-Based and PDE Models for Evolutionary Games with Payoff-Driven Motion. [PDF]
Yao T, Xu C, Cooney DB.
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PROBLEM WITH NONLOCAL INTEGRAL CONDITION FOR PSEUDOHYPERBOLIC EQUATION OF THE FOURTH-ORDER
С. В. Кириченко
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Within quantum chemistry, density functional theory (DFT) is a revolution. This serves as an example of a multitude of other scientific events, supporting the idea that revolutions are always large, if observed with the appropriate magnification. ABSTRACT Distinguishing scientific revolutions from normal science is a subjective, conflicting matter ...
Sebastian Kozuch
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Shear Instability Control of Hybrid Small-Scale Plates Embedded in a Polymer Matrix via Shape Memory Alloy Nanofibers. [PDF]
Farajpour MR +3 more
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A Dialogue on Revolutions and Revolutionaries in Science: A Perspective From Quantum Mechanics
ABSTRACT We discuss the notions of scientific revolutions and revolutionaries in the context of the Relativity Revolution and of the First, Second, and Third Quantum Revolutions. We conclude that at the core of the question of what qualifies as a revolution and revolutionary is an assessment of the gradients of knowledge accumulation over time, both at
Ron Folman, Bretislav Friedrich
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Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]
Carrillo JA, Esposito A, Mikolás L.
europepmc +1 more source
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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