Results 1 to 10 of about 138 (91)

Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures [PDF]

open access: greenJournal of Physics A: Mathematical and Theoretical, 2012
This article addresses the problem of developing an extension of the Marsden- Weinstein reduction process to symplectic Lie algebroids, and in particular to the case of the symplectic cover of a fiberwise linear Poisson structure, whose reduction process is the analogue to cotangent bundle reduction in the context of Lie algebroids.
Juan Carlos Marrero   +2 more
openaire   +5 more sources

The Necessary Uniformity of Physical Probability

open access: yesPhilosophy and Phenomenological Research, Volume 112, Issue 1, Page 290-306, January 2026.
ABSTRACT According to contemporary consensus, physical probabilities may be “non‐uniform”: they need not correspond to a uniform measure over the space of physically possible worlds. Against consensus, I argue that only uniform probabilities connect robustly to long‐run frequencies.
Ezra Rubenstein
wiley   +1 more source

Module structure of Weyl algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.
ABSTRACT We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a ...
Holger Lang   +5 more
wiley   +1 more source

Supercurrents and Tunneling in Massive Many‐Vortex Necklaces and Star‐Lattices

open access: yesAnnalen der Physik, Volume 537, Issue 12, December 2025.
It is numerically shown how massive many‐vortex systems, in a mixture of Bose–Einstein condensates, can host the bosonic tunneling of the infilling component in an almost‐periodic way when the vortices are organized in necklaces or star‐lattices. The purpose is to explore the conditions for the onset of Josephson supercurrents in rotating many‐vortex ...
Alice Bellettini, Vittorio Penna
wiley   +1 more source

Radio Wave Propagation Revisited With Application to High‐Latitude Ionospheric Scintillation

open access: yesJournal of Geophysical Research: Space Physics, Volume 130, Issue 12, December 2025.
Abstract The subject of radio‐wave propagation in various media, including turbulent plasmas, has for more than a century preoccupied astronomers, space plasma physicists, scientists, and engineers interested in the problem of wave scattering by turbulent media.
A. M. Hamza, K. Meziane
wiley   +1 more source

Maximal symplectic torus actions

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4132-4148, December 2025.
Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley   +1 more source

Recursive Relations for the S‐matrix of Liouville Theory

open access: yesFortschritte der Physik, Volume 73, Issue 11, November 2025.
Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. This is used to derive equations for the S‐matrix, from which a recursive relation for the normal symbol of the S‐matrix for discrete center‐of‐mass momenta is obtained.
George Jorjadze   +2 more
wiley   +1 more source

Holomorphic field theories and higher algebra

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Extrapolation Boundary Conditions for 2‐D Smoothed Particle Hydrodynamics

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 9, Page 1248-1279, September 2025.
This paper introduces novel inflow, outflow, and wall boundaries for the WCSPH method. Utilising innovative concepts from finite volume methods, fluid properties of sequential dynamic particles with varying distances to boundaries are extrapolated to ghost and wall particles using first‐order Taylor series expansion.
Hossein Mahdizadeh   +3 more
wiley   +1 more source

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