Results 1 to 10 of about 11,534 (108)

Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach [PDF]

, 2013
Using a quantum field theory renormalization group-like differential equation, we give a new proof of the recipe theorem for the Tutte polynomial for matroids.
Duchamp, Gérard H. E., Hoang-Nghia, Nguyen, Krajewski, Thomas, Tanasa, Adrian   +3 more
core   +3 more sources

Proto-exact categories of matroids, Hall algebras, and K-theory [PDF]

, 2018
This paper examines the category $\mathbf{Mat}_{\bullet}$ of pointed matroids and strong maps from the point of view of Hall algebras. We show that $\mathbf{Mat}_{\bullet}$ has the structure of a finitary proto-exact category - a non-additive ...
Eppolito, Christopher, Jun, Jaiung, Szczesny, Matt   +2 more
core   +1 more source

Algebraic description of spacetime foam [PDF]

, 2001
A mathematical formalism for treating spacetime topology as a quantum observable is provided. We describe spacetime foam entirely in algebraic terms.
Aleksandrov P S, Baehr H C, Baehr H C, Baugh J, Breslav R B, Breslav R B, Breslav R B, Butterfield J, Butterfield J, Crane L Clock, Eilenberg S, Einstein A, Einstein A, Einstein A, Feynman R P, Finkelstein D, Finkelstein D, Heisenberg W, Heisenberg W, Isham C J, Isham C J, Landi G, Landi G, Mallios A, Mallios A, Mallios A, Mallios A, Mulvey C, Mulvey C, Penrose R, Raptis I, Raptis I, Raptis I, Regge T, Rideout D P, Robb A A, Rota G-C, Sorkin R D, Sorkin R D, Sorkin R D, Sorkin R D, Sorkin R D, Stanley R P, Torretti R, Wheeler J A, Zapatrin R R, Zapatrin R R, Zapatrin R R, Zapatrin R R, Zapatrin R R, Zeeman E C   +50 more
core   +4 more sources

Random Sampling in Computational Algebra: Helly Numbers and Violator Spaces [PDF]

, 2015
This paper transfers a randomized algorithm, originally used in geometric optimization, to computational problems in commutative algebra. We show that Clarkson's sampling algorithm can be applied to two problems in computational algebra: solving large ...
De Loera, Jesús A., Petrović, Sonja, Stasi, Despina   +2 more
core   +3 more sources

The shuffle Hopf algebra and quasiplanar Wick products

, 2007
The operator valued distributions which arise in quantum field theory on the noncommutative Minkowski space can be symbolized by a generalization of chord diagrams, the dotted chord diagrams.
Bahns D, Bahns D, Bahns D, D Bahns, Kassel C, Stoimenow A   +5 more
core   +1 more source

Topology of quasi divisor graphs associated with non-associative algebra

Ain Shams Engineering Journal
The visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem, Muhammad Kamran, Muflih Alhazmi, Mashaer Alsaeedi, Shreefa O. Hilali   +4 more
doaj   +1 more source

Combinatorial Hopf algebras in quantum field theory I

, 2004
This manuscript stands at the interface between combinatorial Hopf algebra theory and renormalization theory. Its plan is as follows: Section 1 is the introduction, and contains as well an elementary invitation to the subject.
't Hooft G., Abramowitz M., Bollini C. G., Brouder Ch., Burum D. P., Caianello E. R., Connes A., Connes A., de Lagrange J.-L., Dixmier J., Dür A., Ebrahimi-Fard K., Figueroa H., Figueroa H., Foissy L., Haiman M., Henrici P., Hochschild G., Hochschild G., Hofmann K. H., HÉCTOR FIGUEROA, Itzykson C., JOSÉ M. GRACIA-BONDÍA, Kastler D., Leslie J., Loday J. L., Manoukian E. B., Oeckl R., Reutenauer Ch., Rybnikov K., Schmitt W. R.   +30 more
core   +2 more sources

$C^*$-algebraic drawings of dendroidal sets

, 2019
In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a $C^*$-algebraic drawing of a dendroidal set. It depicts a dendroidal set as an object in the category of
Mahanta, Snigdhayan
core   +1 more source

Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory

, 2006
Recently, the theory of renormalization in perturbative quantum field theory underwent some exciting new developments. Kreimer discovered an organization of Feynman graphs into combinatorial Hopf algebras.
Ebrahimi-Fard, Kurusch, Guo, Li
core   +1 more source

A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions

, 2009
We define and discuss classical and quantum gravity in 2+1 dimensions in the Galilean limit. Although there are no Newtonian forces between massive objects in (2+1)-dimensional gravity, the Galilean limit is not trivial.
A.A. Kirillov, A.O. Barut, B.J Schroers, B.J. Schroers, B.J. Schroers, C. Meusburger, C. Meusburger, C. Meusburger, E. Buffenoir, F.J. Herranz, G Papageorgiou, G. 't Hooft, H.-J. Matschull, H.-J. Matschull, J. Mund, J.M. Figueroa-O'Farrill, J.M. Lévy-Leblond, L. Freidel, M. Atiyah, P.A. Horvathy, S. Carlip, S. Majid, T. Koornwinder, V. Chari, V.I. Arnold, V.V. Fock, Y. Brihaye   +26 more
core   +3 more sources