Results 51 to 60 of about 7,293 (133)
Renormalization Hopf algebras and combinatorial groups [PDF]
, 2010 These are the notes of five lectures given at the Summer School {\em Geometric and Topological Methods for Quantum Field Theory}, held in Villa de Leyva (Colombia), July 2--20, 2007. The lectures are meant for graduate or almost graduate students in physics or mathematics. They include references, many examples and some exercices.
openaire +2 more sources
Combinatorial Hopf algebra of superclass functions of type D [PDF]
Journal of Algebraic Combinatorics, 2013 Last section modified.
openaire +2 more sources
Lie groups of controlled characters of combinatorial Hopf algebras [PDF]
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2020 In this article groups of “controlled” characters of a combinatorial Hopf algebra are considered from the perspective of infinite-dimensional Lie theory. A character is controlled in our sense if it satisfies certain growth bounds, e.g. exponential growth. We study these characters for combinatorial Hopf algebras.
Dahmen, Rafael, Schmeding, Alexander
openaire +3 more sources
Hopf algebra structures in particle physics
, 2003 In the recent years, Hopf algebras have been introduced to describe certain combinatorial properties of quantum field theories. I will give a basic introduction to these algebras and review some occurrences in particle physics.Comment: 6 pages, talk ...
Weinzierl, Stefan
core +1 more source
Multivariate representations of univariate marked Hawkes processes
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 140-174, March 2026.Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis +3 more
wiley +1 more source
Combinatorial algebra for second-quantized Quantum Theory [PDF]
, 2010 We describe an algebra G of diagrams that faithfully gives a diagrammatic representation of the structures of both the Heisenberg–Weyl algebra H – the associative algebra of the creation and annihilation operators of quantum mechanics – and U(LH), the ...
Blasiak, Pawel +4 more
core +3 more sources
Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams +4 more
wiley +1 more source
SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley +1 more source
Theta maps for combinatorial Hopf algebras
, 2017 There is a very natural and well-behaved Hopf algebra morphism from quasisymmetric functions to peak algebra, which we call it Theta map. This paper focuses on generalizing the peak algebra by constructing generalized Theta maps for an arbitrary combinatorial Hopf algebra.
Aliniaeifard, Farid, Li, Shu Xiao
openaire +2 more sources
Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source