Results 21 to 30 of about 3,153 (84)
, 2005 We propose additional conditions (beyond those considered in our previous papers) that should be imposed on Wick products and time-ordered products of a free quantum scalar field in curved spacetime.
Dütsch M. +5 more
core +1 more source
Calculus of functors and model categories II [PDF]
, 2014 This is a continuation, completion, and generalization of our previous joint work with B. Chorny. We supply model structures and Quillen equivalences underlying Goodwillie's constructions on the homotopy level for functors between simplicial model ...
Biedermann, Georg, Röndigs, Oliver
core +1 more source
Geometric Relational Framework for General‐Relativistic Gauge Field Theories
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley +1 more source
Differential Calculus on Manifolds with a Boundary. Applications
, 2017 This paper contains a set of lecture notes on manifolds with boundary and corners, with particular attention to the space of quantum states. A geometrically inspired way of dealing with these kind of manifolds is presented,and explicit examples are given
Ciaglia, Florio Maria +3 more
core +1 more source
Nonlinear Optics Through the Field Tensor Formalism
Laser &Photonics Reviews, Volume 19, Issue 2, January 22, 2025.This review delves into the symmetry properties of electric fields and susceptibility tensors. It explores scenarios where propagation effects are negligible and situations where propagation is significant, elucidating the role of the field tensor in phase‐matching considerations.
Julien Duboisset +4 more
wiley +1 more source
Tensor fields of mixed Young symmetry type and N-complexes
, 2001 We construct $N$-complexes of non completely antisymmetric irreducible tensor fields on $\mathbb R^D$ which generalize the usual complex $(N=2)$ of differential forms.
Dubois-Violette, Michel, Henneaux, Marc
core +2 more sources
IET Image Processing, Volume 19, Issue 1, January/December 2025.This paper proposes a quaternion‐based framework for color image restoration, addressing challenges such as color distortion and structural artifacts. By combining low‐rank pseudo‐norm constraints with saturation‐value total variation (SVTV) regularization and solving via ADMM, the method achieves high‐quality results in denoising, deblurring, and ...
Zipeng Fu +3 more
wiley +1 more source
Some aspects of noncommutative differential geometry [PDF]
, 1995 We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential calculus based on derivations as generalization of vector fields, and we ...
Dubois-Violette, Michel
core
The graded Jacobi algebras and (co)homology
, 2002 Jacobi algebroids (i.e. `Jacobi versions' of Lie algebroids) are studied in the context of graded Jacobi brackets on graded commutative algebras. This unifies varios concepts of graded Lie structures in geometry and physics.
+44 more
core +1 more source
IET Radar, Sonar &Navigation, Volume 19, Issue 1, January/December 2025.A generalisation of the Kalman Filter and Linar Quadratic Gaussian controller to deal with multi‐sensor and multi‐agent/target scenarios is developed through tensor algebra. Applications of the tensor‐LQG allow developing parallel optimal control and waveform design suitable for multi‐radar and multi‐agent/target systems.
Alfonso Farina +3 more
wiley +1 more source