Results 31 to 40 of about 15,664 (126)

On Einstein equations on manifolds and supermanifolds

, 2002
The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M becomes the Grassmannian $Gr_{2}^{4}$ of 2-dimensional subspaces in the 4 ...
Leites, D., Poletaeva, E., Serganova, V.
core   +2 more sources

C∞$$ {C}^{\infty } $$‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source

Kac--Moody groups and automorphic forms in low dimensional supergravity theories

, 2016
Kac--Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as symmetry groups of supergravity theories dimensionally reduced to dimensions less than 3, and their integral forms $G(\mathbb{Z})$ conjecturally encode quantized symmetries.
Bao, Ling, Carbone, Lisa
core   +1 more source

Ellipsoid‐Based Interval‐Type Uncertainty Model Updating Based on Riemannian Manifold and Gaussian Process Model

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao, Qintao Guo, Jin Zhou, Cheng Yi   +3 more
wiley   +1 more source

Supersymmetric extensions of Schr\"odinger-invariance

, 2005
The set of dynamic symmetries of the scalar free Schr\"odinger equation in d space dimensions gives a realization of the Schr\"odinger algebra that may be extended into a representation of the conformal algebra in d+2 dimensions, which yields the set of ...
Baumann, Beckers, Beckers, Beckers, Belavin, Berche, Burdet, Cherniha, de Crombrugghe, Dolan, Dufour, Duval, Duval, Freed, Gauntlett, Ghosh, Ghosh, Guieu, Guillemin, Hagen, Hassaïne, Hassaïne, Henkel, Henkel, Henkel, Henkel, Henkel, Jackiw, Jackiw, Junker, Jérémie Unterberger, Kac, Kastrup, Knapp, Kogan, Leblanc, Lozano, Lévy-Leblond, Malte Henkel, Nagi, Neveu, Niederer, O'Raifeartaigh, Park, Picone, Pleimling, Roger, Stoimenov, Tailleur   +48 more
core   +1 more source

Robustness Assessment of Public Transport Networks in Various Graph Representations: Systematic Review, Decision Support, and Case Study

Networks, EarlyView.
ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk, Stefan Voß, Raka Jovanovic   +2 more
wiley   +1 more source

Beyond the Frenkel-Kac-Segal construction of affine Lie algebras

, 1996
This contribution reviews recent progress in constructing affine Lie algebras at arbitrary level in terms of vertex operators. The string model describes a completely compactified subcritical chiral bosonic string whose momentum lattice is taken to be ...
Brower, Del Giudice, Frenkel, Frenkel, Gebert, Gebert, Gebert, Gebert, Goddard, Harvey, Kac, Moody, R.W. Gebert, Segal   +13 more
core   +1 more source

Distributed Formation Control for Heterogeneous Robot Systems Based on Competitive Mechanism

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT This paper presents an adaptive formation control method for a heterogeneous robot swarm, utilising a multilevel formation task tree to model various types of formation tasks and a single‐state distributed k‐winner‐take‐all (S‐DKWTA) algorithm to address the MRTA problem.
Zhenghui Cui, Xiaoyi Gu, Ning Tan
wiley   +1 more source

Galilean contractions of $W$-algebras

, 2017
Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as $W$-algebras.
Rasmussen, Jorgen, Raymond, Christopher
core   +2 more sources

Addressing ecological challenges from a quantum computing perspective

Methods in Ecology and Evolution, EarlyView.
Abstract With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their underlying mechanisms in increasingly complex environments.
Maxime Clenet, Maxime Dion, F. Guillaume Blanchet   +2 more
wiley   +1 more source