Exactly solvable connections in metric-affine gravity [PDF]
Classical and quantum gravity, 2018 This article presents a systematic way to solve for the affine connection in metric-affine geometry. We start by adding to the Einstein–Hilbert action, a general action that is linear in the connection and its partial derivatives and respects projective ...
D. Iosifidis
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Quantum Field Theory on Affine Bundles [PDF]
, 2014 We develop a general framework for the quantization of bosonic and fermionic field theories on affine bundles over arbitrary globally hyperbolic spacetimes. All concepts and results are formulated using the language of category theory, which allows us to
Benini, Marco +5 more
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Bethe Ansatz equations for the classical A^(1)_n affine Toda field theories [PDF]
, 2014 We establish a correspondence between classical A(1)n affine Toda field theories and An Bethe Ansatz systems. We show that the connection coefficients relating specific solutions of the associated classical linear problem satisfy functional relations of ...
Dunning, Clare +2 more
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Affine Dependence of Network Observability/Controllability on Its Subsystem Parameters and Connections [PDF]
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019 This article investigates observability/controllability of a networked dynamic system (NDS) in which system matrices of its subsystems are expressed through linear fractional transformations (LFTs).
T. Zhou, Yuyu Zhou
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Turán and Ramsey problems for alternating multilinear maps
Discrete Analysis, 2023 Turán and Ramsey problems for alternating multilinear maps, Discrete Analysis 2023:12, 22 pp. Ramsey's theorem (in its finite version) states that for every positive integer $k$ there exists a positive integer $n$ such that every graph with $n$ vertices
Youming Qiao
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Equivalence of switching linear systems by bisimulation [PDF]
, 2006 A general notion of hybrid bisimulation is proposed for the class of switching linear systems. Connections between the notions of bisimulation-based equivalence, state-space equivalence, algebraic and input–output equivalence are investigated.
Schaft, A.J. van der, +11 more
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First integrals of affine connections and Hamiltonian systems of hydrodynamic type [PDF]
, 2015 We find necessary and sufficient conditions for a local geodesic flow of an affine connection on a surface to admit a linear first integral. The conditions are expressed in terms of two scalar invariants of differential orders 3 and 4 in the connection ...
Felipe Contatto, M. Dunajski
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On metrizability of locally homogeneous affine 2-dimensional manifolds [PDF]
, 2013 summary:In [19] we proved a theorem which shows how to find, under particular assumptions guaranteeing metrizability (among others, recurrency of the curvature is necessary), all (at least local) pseudo-Riemannian metrics compatible with a given torsion ...
Kowalski, Oldřich +2 more
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Stability and controllability of planar bimodal linear complementarity systems [PDF]
, 2003 The object of study of this paper is the class of hybrid systems consisting of so-called linear complementarity (LC) systems, that received a lot of attention recently and has strong connections to piecewise affine (PWA) systems.
Heemels, W.P.M.H. +2 more
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Characterising transformations between quantum objects, 'completeness' of quantum properties, and transformations without a fixed causal order [PDF]
QuantumMany fundamental and key objects in quantum mechanics are linear mappings between particular affine/linear spaces. This structure includes basic quantum elements such as states, measurements, channels, instruments, non-signalling channels and channels ...
Simon Milz, Marco Túlio Quintino
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