Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Duchamp, G. H. E."'
Publikováno v:
Enumerative Combinatorics and Applications, ECA 3:2 (2023) Article #S2R15, 10 pages
We investigate the combinatorial sequences $A(M, n)$ introduced by W. G. Brown (1964) and W. T. Tutte (1980) appearing in enumeration of convex polyhedra. Their formula is $$A(M, n) = \frac{2 (2M+3)!}{(M+2)! M!}\,\frac{(4n+2M+1)!}{n! (3n + 2M + 3)!}
Externí odkaz:
http://arxiv.org/abs/2209.06574
It is widely accepted nowadays that polyzetas are connected by polynomial relations. One way to obtain relations among polyzetas is to consider their generating series and the relations among these generating series. This leads to the indexation of t
Externí odkaz:
http://arxiv.org/abs/2009.05125
Publikováno v:
Fractional Calculus and Applied Analysis vol. 20(1), 260 (2017)
We show that the anomalous diffusion equations with a fractional derivative in the Caputo or Riesz sense are strictly related to the special convolution properties of the L\'evy stable distributions which stem from the evolution properties of stretch
Externí odkaz:
http://arxiv.org/abs/1603.06066
Publikováno v:
Discrete Mathematics & Theoretical Computer Science Proceedings FPSAC 2013, pag. 397-408 (2013)
In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced by Schmitt (1994). We show that these Hopf algebra characters are solut
Externí odkaz:
http://arxiv.org/abs/1310.5516
Publikováno v:
Lecture Notes in Computer Science, volume 8080, Pages 223-234, 2013
In this paper, we define a Hopf algebra structure on the vector space spanned by packed words using a selection-quotient coproduct. We show that this algebra is free on its irreducible packed words. Finally, we give some brief explanations on the Map
Externí odkaz:
http://arxiv.org/abs/1310.4418
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 16, No 1 (2014) 356-370
A non-commutative, planar, Hopf algebra of rooted trees was proposed in L. Foissy, Bull. Sci. Math. 126 (2002) 193-239. In this paper we propose such a non-commutative Hopf algebra for graphs. In order to define a non-commutative product we use a qua
Externí odkaz:
http://arxiv.org/abs/1307.3928
Publikováno v:
Seminaire Lotharingien de Combinatoire, B68c (2013)
In this paper, we define a Hopf algebra structure on the vector space spanned by packed words using a selection/quotient coproduct. We show that this algebra is free on its irreducible packed words. We also construct the Hilbert series of this Hopf a
Externí odkaz:
http://arxiv.org/abs/1207.6522
Publikováno v:
J. Phys. A: Math. Theor. 46 (2013) 075302
We propose a unified mathematical scheme, based on a classical tensor isomorphism, for characterizing entanglement that works for pure states of multipartite systems of any number of particles. The degree of entanglement is indicated by a set of abso
Externí odkaz:
http://arxiv.org/abs/1205.4958
Publikováno v:
J. Phys. A: Math. Theor. vol. 45, 244031 (2012)
Generalized Bargmann representations which are based on generalized coherent states are considered. The growth of the corresponding analytic functions in the complex plane is studied. Results about the overcompleteness or undercompleteness of discret
Externí odkaz:
http://arxiv.org/abs/1111.0889
Publikováno v:
Phys. Rev. E 85, 031138 (2012)
We obtain exact results for fractional equations of Fokker-Planck type using evolution operator method. We employ exact forms of one-sided Levy stable distributions to generate a set of self-reproducing solutions. Explicit cases are reported and stud
Externí odkaz:
http://arxiv.org/abs/1109.0622