Results 61 to 70 of about 47,483 (247)
Transient Hydrology in Amazonis Planitia (Mars) in the Aftermath of the Tooting Impact
Abstract Hydrological flows generated by meteoroid impact are still largely unexplored on Mars and may also have implications for Earth. We reconstructed the hydrological sequence initiated on Mars by a less than 3 Ma old meteoroid impact that formed the 28 km‐wide Tooting crater on Amazonis Planitia, an ice‐bearing region.
Fabio Vittorio De Blasio +2 more
wiley +1 more source
Clifford Fourier-Mellin transform with two real square roots of -1 in Cl(p,q), p+q=2
We describe a non-commutative generalization of the complex Fourier-Mellin transform to Clifford algebra valued signal functions over the domain $\R^{p,q}$ taking values in Cl(p,q), p+q=2.
Hitzer, Eckhard
core +1 more source
Quantum Circuit Design using a Progressive Widening Enhanced Monte Carlo Tree Search
This article proposes the Progressive Widening enhanced Monte Carlo Tree Search (PWMCTS) to design parameterized quantum circuits. It improves the efficiency of the previous MCTS‐based techniques in terms of number of quantum circuit evaluation, number of gates and CNOT count.
Vincenzo Lipardi +3 more
wiley +1 more source
Quregisters, symmetry groups and Clifford algebras
The Clifford algebra over the three-dimensional real linear space includes its linear structure and its exterior algebra, the subspaces spanned by multivectors of the same degree determine a gradation of the Clifford algebra.
Cervantes, Dalia +1 more
core +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
This paper is the third of a series of three, and it is the continuation of math-ph/0412074 and math-ph/0412075. After reviewing the conformal spacetime structure, conformal maps are described in Minkowski spacetime as the twisted adjoint representation ...
Bars I. +18 more
core +2 more sources
Dirac–Schrödinger operators, index theory and spectral flow
Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley +1 more source
We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
doaj +1 more source
A reduction theorem for the Character Triple Conjecture
Abstract In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi‐simple groups. This answers the question on the existence of a self‐reducing form of Dade's conjecture, a problem that was extensively investigated by Dade in the 1990s.
Damiano Rossi
wiley +1 more source
Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source

