Results 31 to 40 of about 133 (121)
Combinatorial Hopf algebras and generalized Dehn–Sommerville relations [PDF]
Compositio Mathematica, 2006 34 ...
Aguiar, Marcelo +2 more
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, 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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Trees, functional equations, and combinatorial Hopf algebras
European Journal of Combinatorics, 2008 One of the main virtues of trees is to represent formal solutions of various functional equations which can be cast in the form of fixed point problems. Basic examples include differential equations and functional (Lagrange) inversion in power series rings.
Hivert, Florent +2 more
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Spectral Submanifolds of Delay Systems: Control in Continuous and Discrete Time
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper presents both continuous‐time and discretization‐based approaches for constructing spectral submanifolds (SSMs) for time delay systems. The continuous‐time approach built upon sun–star calculus, reformulates the governing delay differential equation (DDE) as an operator differential equation (OpDE).
Bence Szaksz +2 more
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Journal of Field Robotics, EarlyView.ABSTRACT The design of a hexapod is complex and requires integration between kinematic models, control systems, and sensing. Existing literature has reviewed these sub‐systems in isolation. Since 2021, there has been no review of the field despite significant advancements in soft soil, lunar traversal, and artificial intelligence.
Akhil Rampersad, Bashan Naidoo
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Capital‐Labour Substitution in Macroeconomics: A Survey of Mechanisms, Dynamics and Policy Insights
Journal of Economic Surveys, EarlyView.ABSTRACT Macroeconomic conclusions often hinge on a single, hard‐to‐pin‐down parameter: the elasticity of substitution between capital and labour, σ. This survey synthesises theory and evidence on how results change once we move beyond the Cobb–Douglas benchmark (σ=1$\sigma = 1$).
Francisco Rebelo, Fernando Del Río
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Lie groups of controlled characters of combinatorial Hopf algebras [PDF]
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2020 In this article groups of “controlled” characters of a combinatorial Hopf algebra are considered from the perspective of infinite-dimensional Lie theory. A character is controlled in our sense if it satisfies certain growth bounds, e.g. exponential growth. We study these characters for combinatorial Hopf algebras.
Dahmen, Rafael, Schmeding, Alexander
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Gibbons–Tsarev Type Systems and Eventual Identities
Studies in Applied Mathematics, Volume 157, Issue 4, October 2026.ABSTRACT We show that non‐diagonalizable reductions of the dKP equation associated with regular non‐semisimple F$F$‐manifolds cannot exist. The proof is based on the derivation and study of a generalized Gibbons–Tsarev system (gGT system) in the non‐semisimple/non‐diagonalizable setting.
Alessandro Arsie +3 more
wiley +1 more source
Antipode Formulas for some Combinatorial Hopf Algebras
The Electronic Journal of Combinatorics, 2016 Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, Lam and Pylyavskyy studied six combinatorial Hopf algebras that can be thought of as K-theoretic analogues of the Hopf algebras of symmetric functions, quasisymmetric functions, noncommutative symmetric functions, and of the Malvenuto-Reutenauer Hopf ...
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