Results 61 to 70 of about 131 (118)
A Fractional‐Order Discrete‐Time FitzHugh–Nagumo Model With Multiple Time Delays
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.This paper introduces a novel fractional‐order (FO) discrete‐time FitzHugh–Nagumo model (FHNM) that incorporates multiple time delays to capture the combined effects of memory and transmission latencies inherent in neuronal dynamics. The model is formulated using the Caputo nabla difference operator, providing a rigorous mathematical framework that ...
Iqbal M. Batiha +5 more
wiley +1 more source
Polynomial realizations of some combinatorial Hopf algebras
Journal of Noncommutative Geometry, 2014 We construct explicit polynomial realizations of some combinatorial Hopf algebras based on various kinds of trees or forests, and some more general classes of graphs, ranging from the Connes–Kreimer algebra to an algebra of labelled forests isomorphic to the Hopf algebra of parking functions and to a new noncommutative algebra based on endofunctions ...
Foissy, Loïc +2 more
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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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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.
europepmc +1 more source
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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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2021 Wirth M, Zhang H.
europepmc +1 more source
Operads for complex system design specification, analysis and synthesis. [PDF]
Proc Math Phys Eng Sci, 2021 Foley JD +3 more
europepmc +1 more source
Quantum Grothendieck rings as quantum cluster algebras. [PDF]
J Lond Math Soc, 2021 Bittmann L.
europepmc +1 more source