Results 11 to 20 of about 249,809 (313)
Symmetry groupoids and admissible vector fields for coupled cell networks [PDF]
The space of admissible vector fields, consistent with the structure of a network of coupled dynamical systems, can be specified in terms of the network's symmetry groupoid.
Dias, Ana Paula S., Stewart, Ian
core +1 more source
Group symmetry and covariance regularization [PDF]
Statistical models that possess symmetry arise in diverse settings such as random fields associated to geophysical phenomena, exchangeable processes in Bayesian statistics, and cyclostationary processes in engineering. We formalize the notion of a symmetric model via group invariance.
Shah, Parikshit, Chandrasekaran, Venkat
openaire +4 more sources
Calculating the symmetry of hexamethylcyclohexane
An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix. Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane, and eclipsed and ...
Ahmad Gholami +2 more
doaj +1 more source
Symmetry groups of boolean functions
We prove that every abelian permutation group, but known exceptions, is the symmetry group of a boolean function. This solves the problem posed in the book by Clote and Kranakis. In fact, our result is proved for a larger class of groups, namely, for all groups contained in direct sums of regular groups.
Mariusz Grech, Andrzej Kisielewicz 0001
openaire +3 more sources
Topological axion electrodynamics and 4-group symmetry
We study higher-form symmetries and a higher group in the low energy limit of a (3+1)-dimensional axion electrodynamics with a massive axion and a massive photon.
Yoshimasa Hidaka +2 more
doaj +1 more source
A double chain of coupled circuits in analogy with mechanical lattices
A unitary transformation obtained from group theoretical considerations is applied to the problem of finding the resonant frequencies of a system of coupled LC-circuits.
J. N. Boyd, P. N. Raychowdhury
doaj +1 more source
Non-expanding horizons: multipoles and the symmetry group
It is well-known that blackhole and cosmological horizons in equilibrium situations are well-modeled by non expanding horizons (NEHs) [1–3]. In the first part of the paper we introduce multipole moments to characterize their geometry, removing the ...
Abhay Ashtekar +3 more
doaj +1 more source
Gauging Lie group symmetry in (2+1)d topological phases
We present a general algebraic framework for gauging a 0-form compact, connected Lie group symmetry in (2+1)d topological phases. Starting from a symmetry fractionalization pattern of the Lie group $G$, we first extend $G$ to a larger symmetry group ...
Meng Cheng, Po-Shen Hsin, Chao-Ming Jian
doaj +1 more source
Clifford Group and Unitary Designs under Symmetry
We have generalized the well-known statement that the Clifford group is a unitary 3-design into symmetric cases by extending the notion of unitary design.
Yosuke Mitsuhashi, Nobuyuki Yoshioka
doaj +1 more source
Orbit Entropy and Symmetry Index Revisited
The size of the orbits or similar vertices of a network provides important information regarding each individual component of the network. In this paper, we investigate the entropy or information content and the symmetry index for several classes of ...
Maryam Jalali-Rad +3 more
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