Results 191 to 200 of about 7,362 (303)

On computing local monodromy and the numerical local irreducible decomposition

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
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
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
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

How Long Is the Coast of Quantum Chemistry? Or, How to Evaluate Density Functional Theory as a Scientific Revolution

open access: yesNatural Sciences, Volume 6, Issue 3, July 2026.
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
wiley   +1 more source

A Dialogue on Revolutions and Revolutionaries in Science: A Perspective From Quantum Mechanics

open access: yesNatural Sciences, Volume 6, Issue 3, July 2026.
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
wiley   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
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
wiley   +1 more source

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