Results 51 to 60 of about 2,701,787 (159)
Advanced NanoBiomed Research, Volume 5, Issue 9, September 2025.Artificial Intelligence‐driven advancements in protein‐based nanoparticle design enable exceptional functionalities, overcoming traditional challenges and expanding nanomedicine applications. Nanoparticles (NPs) have become a pivotal technology in biomedical research due to their unique physicochemical properties and nanoscale size, allowing for ...
Mohammad Mahmoudi Gomari +3 more
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Renormalization of quasisymmetric functions
, 2020 As a natural basis of the Hopf algebra of quasisymmetric functions, monomial quasisymmetric functions are formal power series defined from compositions. The same definition applies to left weak compositions, while leads to divergence for other weak compositions.
Guo, Li, Yu, Houyi, Zhang, Bin
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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
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Descent representations and colored quasisymmetric functions [PDF]
, 2023 The quasisymmetric generating function of the set of permutations whose inverses have a fixed descent set is known to be symmetric and Schur-positive. The corresponding representation of the symmetric group is called the descent representation.
Moustakas, Vassilis Dionyssis
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Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2132-2154, July 2025.Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale +2 more
wiley +1 more source
On q-symmetric functions and q-quasisymmetric functions [PDF]
Journal of Algebraic Combinatorics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
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Ecofriendly Printed Wood‐Based Honey‐Gated Transistors for Artificial Synapse Emulation
Advanced Intelligent Systems, Volume 7, Issue 2, February 2025.Sustainably printed transistors on wood substrates, using zinc oxide as an active layer and honey electrolyte, offer a promising ecofriendly approach to synaptic devices. Despite wood's roughness, these transistors show excellent performance with low on‐voltage and high Ion/Ioff. They exhibit dynamic responses to presynaptic pulses, enabling plasticity,
Douglas Henrique Vieira +6 more
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The Poincaré‐extended ab$\mathbf {a}\mathbf {b}$‐index
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Motivated by a conjecture concerning Igusa local zeta functions for intersection posets of hyperplane arrangements, we introduce and study the Poincaré‐extended ab$\mathbf {a}\mathbf {b}$‐index, which generalizes both the ab$\mathbf {a}\mathbf {b}$‐index and the Poincaré polynomial.
Galen Dorpalen‐Barry +2 more
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The excedance quotient of the Bruhat order, quasisymmetric varieties, and Temperley–Lieb algebras
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract Let Rn=Q[x1,x2,…,xn]$R_n=\mathbb {Q}[x_1,x_2,\ldots ,x_n]$ be the ring of polynomials in n$n$ variables and consider the ideal ⟨QSymn+⟩⊆Rn$\langle \mathrm{QSym}_{n}^{+}\rangle \subseteq R_n$ generated by quasisymmetric polynomials without constant term. It was shown by J. C. Aval, F. Bergeron, and N. Bergeron that dim(Rn/⟨QSymn+⟩)=Cn$\dim \big
Nantel Bergeron, Lucas Gagnon
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