Results 21 to 30 of about 206 (146)

Hexapod Locomotion Across Structured and Unstructured Terrains: A Data‐Driven Review of Modeling, Control, and Validation

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
wiley   +1 more source

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
wiley   +1 more source

Cohomology of algebras over weak Hopf algebras [PDF]

Homology, Homotopy and Applications, 2014
In this paper we present the Sweedler cohomology for a cocommutative weak Hopf algebra H. We show that the second cohomology group classifies completely the weak crossed products, having a common preunit, of H with a commutative left H-module algebra A.
Álvarez, J. N. Alonso, Vilaboa, J. M. Fernández, Rodríguez, R. González   +2 more
openaire   +4 more sources

Universal properties of Delannoy categories

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract Recently, Harman and Snowden introduced a new symmetric tensor category Perm̲(G,μ)$\operatorname{\underline{Perm}}(G, \mu)$ associated with an oligomorphic group G$G$ with a measure μ$\mu$. When G$G$ is the group of order‐preserving self‐bijections of the real line there are four such measures, and the resulting tensor categories are called ...
Kevin Coulembier, Nate Harman, Andrew Snowden   +2 more
wiley   +1 more source

Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model

Journal of High Energy Physics
We investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into their associated weak Hopf symmetries. For the multifusion string-net, the gauge symmetry manifests as a general weak Hopf algebra, leading ...
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski   +2 more
doaj   +1 more source

Nonamenable subforests of multi‐ended quasi‐pmp graphs

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract We prove the a.e. nonamenability of locally finite quasi‐pmp Borel graphs whose every component admits at least three nonvanishing ends with respect to the underlying Radon–Nikodym cocycle. We witness their nonamenability by constructing Borel subforests with at least three nonvanishing ends per component, and then applying Tserunyan and ...
Ruiyuan Chen, Grigory Terlov, Anush Tserunyan   +2 more
wiley   +1 more source

Weak Hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)D symmetry topological field theory

Journal of High Energy Physics
We propose weak Hopf symmetry as a general framework to explore (1+1)D topological phases that exhibit non-invertible symmetries. Inspired by the Symmetry Topological Field Theory (SymTFT) description of quantum phases with non-invertible symmetry, we ...
Zhian Jia
doaj   +1 more source

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
wiley   +1 more source

On some integral properties of dimensions in Isaacs fusion categories

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that C$\mathcal {C}$ is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category.
Sebastian Burciu
wiley   +1 more source

Homological integrals for weak Hopf algebras

Journal of Algebra
We introduce the notion of a homological integral for an infinite-dimensional weak Hopf algebra and use the homological integral to prove several structure theorems. For example, we prove that the Artin--Schelter property and the Van den Bergh condition are equivalent for a noetherian weak Hopf algebra, and that the antipode is automatically invertible
Rogalski, Daniel, Won, Robert, Zhang, James J.   +2 more
openaire   +2 more sources