Results 61 to 70 of about 133 (121)
Mould calculus, polyhedral cones, and characters of combinatorial Hopf algebras
Advances in Applied Mathematics, 2013 We describe a method for constructing characters of combinatorial Hopf algebras by means of integrals over certain polyhedral cones. This is based on ideas from resurgence theory, in particular on the construction of well-behaved averages induced by diffusion processes on the real line.
Menous, Frédéric +2 more
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Equivariant multiplicities via representations of quantum affine algebras. [PDF]
Sel Math New Ser, 2023 Casbi E, Li JR.
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The graded dual of a combinatorial Hopf algebra on partition diagrams
Journal of Algebra and Its ApplicationsJohn M. Campbell constructed a Combinatorial Hopf Algebra (CHA) ParSym on partition diagrams by lifting the CHA structure of NSym, which is the Hopf algebra of non-commutative symmetric functions. In this paper, we construct the graded dual ParQSym of ParSym.
Lingxiao Hao, Shenglin Zhu
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Translations of rough paths in combinatorial Hopf algebras
, 2021 We generalize Bruned et.al.'s notion of translation in geometric and branched rough paths to a notion of translation in rough paths over any combinatorial Hopf algebra. We show that this notion of translation is equivalent to two bialgebras being in cointeraction, subject to certain additional conditions.
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2021 Wirth M, Zhang H.
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Combinatorial Hopf algebra for interconnected nonlinear systems
, 2018 A detailed expose of the Hopf algebra approach to interconnected input-output systems in nonlinear control theory is presented. The focus is on input-output systems that can been represented in terms of Chen-Fliess functional expansions or Fliess operators. This provides a starting point for a discrete-time version of this theory.
Espinosa, Luis A. Duffaut +2 more
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Operads for complex system design specification, analysis and synthesis. [PDF]
Proc Math Phys Eng Sci, 2021 Foley JD +3 more
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Quantum Grothendieck rings as quantum cluster algebras. [PDF]
J Lond Math Soc, 2021 Bittmann L.
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