Results 101 to 110 of about 60,017 (247)

An elegant model of the geodesic flow on the modular surface

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley   +1 more source

Affine hypersurfaces and superintegrable systems

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley   +1 more source

Modular intersections, time interval algebras and emergent AdS2

Journal of High Energy Physics
We compute the modular flow and conjugation of time interval algebras of conformal Generalized Free Fields (GFF) in 0 + 1-dimensions in the vacuum. For non-integer scaling dimensions, for general time intervals, the modular conjugation and the modular ...
Nima Lashkari, Kwing Lam Leung, Mudassir Moosa, Shoy Ouseph   +3 more
doaj   +1 more source

Extremal rate of convergence in continuous dynamics

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract This paper deals with semigroups of holomorphic self‐maps of the upper half‐plane that exhibit an extremal (i.e., the slowest possible) rate of convergence to their Denjoy–Wolff point. The main novelty lies in the parabolic case of zero hyperbolic step.
Francisco J. Cruz‐Zamorano, Konstantinos Zarvalis   +1 more
wiley   +1 more source

Conformal geometric algebra by extended Vahlen matrices [PDF]

, 2009
The classical Vahlen matrix representation of conformal transformations on R(n) is directly related to the versor representation of conformal geometric algebra (CGA) using R(n+1;1).
Dorst, L.
core  

Geometry from integrability: multi-leg fishnet integrals in two dimensions

Journal of High Energy Physics
We generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture that fishnet Feynman integrals in two dimensions, together with their ...
Claude Duhr, Albrecht Klemm, Florian Loebbert, Christoph Nega, Franziska Porkert   +4 more
doaj   +1 more source

Upscaling the Strength Domain of Heterogeneous Cohesive‐Frictional Materials via a General FFT‐Based Limit Analysis Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley   +1 more source

Aspects of Geometric Algebra in Euclidean, Projective and Conformal Space [PDF]

, 2003
This report is meant to be a script of a tutorial on Clifford (or Geometric) algebra. It is therefore not complete in the description of the algebra and neither completely rigorous.
Perwass, Christian B.U., Hildenbrand, Dietmar   +1 more
core  

The Computational Algebra of Conformal Blocks [PDF]

Conformal blocks are objects in quantum field theory that arise from conformal trans- formations, which are symmetries that preserve angles but not length. This aspect of conformal field theory has various interactions with algebraic geometry.
Hill, Casey B
core   +1 more source

Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]

, 2009
This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
core   +1 more source