Results 31 to 40 of about 131 (119)
, 2008 The second part, dealing with right-sided combinatorial Hopf algebras, has been completely modified in this new ...
Loday, Jean-Louis, Ronco, Maria O.
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A Uniform Generalization of Some Combinatorial Hopf Algebras [PDF]
Algebras and Representation Theory, 2016 We generalize the Hopf algebras of free quasisymmetric functions, quasisymmetric functions, noncommutative symmetric functions, and symmetric functions to certain representations of the category of all finite Coxeter systems and its dual category. We investigate their connections with the representation theory of 0-Hecke algebras of finite Coxeter ...
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Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras [PDF]
Journal of Algebraic Combinatorics, 2011 We develop a theory of multigraded (i.e., $N^l$-graded) combinatorial Hopf algebras modeled on the theory of graded combinatorial Hopf algebras developed by Aguiar, Bergeron, and Sottile [Compos. Math. 142 (2006), 1--30]. In particular we introduce the notion of canonical $k$-odd and $k$-even subalgebras associated with any multigraded combinatorial ...
Hsiao, Samuel K., Karaali, Gizem
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Combinatorial Hopf algebra of superclass functions of type D [PDF]
Journal of Algebraic Combinatorics, 2013 Last section modified.
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Journal of Field Robotics, EarlyView.ABSTRACT The design of a hexapod is complex and requires integration between kinematic models, control systems, and sensing. Existing literature has reviewed these sub‐systems in isolation. Since 2021, there has been no review of the field despite significant advancements in soft soil, lunar traversal, and artificial intelligence.
Akhil Rampersad, Bashan Naidoo
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Combinatorial Hopf algebras in noncommutative probabilility
, 2020 We prove that the generalized moment-cumulant relations introduced in [arXiv:1711.00219] are given by the action of the Eulerian idempotents on the Solomon-Tits algebras, whose direct sum builds up the Hopf algebra of Word Quasi-Symmetric Functions $\WQSym$.
Lehner, Franz +2 more
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T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14697-14743, 15 September 2026.ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
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Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13946-13970, August 2026.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
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An elegant model of the geodesic flow on the modular surface
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
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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
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