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of 274
pro vyhledávání: '"Joyner, Christopher"'
We derive a Gutzwiller-type trace formula for quantum chaotic systems that accounts for both particle spin precession and discrete geometrical symmetries. This formula generalises previous results that were obtained either for systems with spin [1,2]
Externí odkaz:
http://arxiv.org/abs/2411.12403
Autor:
Hill, Adele, Joyner, Christopher H, Keith-Jopp, Chloe, Yet, Barbaros, Tuncer Sakar, Ceren, Marsh, William, Morrissey, Dylan
Publikováno v:
JMIR Research Protocols, Vol 10, Iss 1, p e21804 (2021)
BackgroundLow back pain (LBP) is an increasingly burdensome condition for patients and health professionals alike, with consistent demonstration of increasing persistent pain and disability. Previous decision support tools for LBP management have foc
Externí odkaz:
https://doaj.org/article/d09c362b744047e39bdef4be1d306e77
Autor:
Yücetürk, Hakan, Gülle, Halime, Şakar, Ceren Tuncer, Joyner, Christopher, Marsh, William, Ünal, Edibe, Morrissey, Dylan, Yet, Barbaros
Publikováno v:
In Journal of Biomedical Informatics November 2022 135
Autor:
Juul, Jonas S., Joyner, Christopher H.
The existence of non-isomorphic graphs which share the same Laplace spectrum (to be referred to as isospectral graphs) leads naturally to the following question: What additional information is required in order to resolve isospectral graphs? It was s
Externí odkaz:
http://arxiv.org/abs/1801.05246
Autor:
Joyner, Christopher H., Smilansky, Uzy
We investigate the linear statistics of random matrices with purely imaginary Bernoulli entries of the form $H_{pq} = \overline{H}_{qp} = \pm i$, that are either independently distributed or exhibit global correlations imposed by the condition $\sum_
Externí odkaz:
http://arxiv.org/abs/1711.02072
A finite dimensional operator that commutes with some symmetry group admits quotient operators, which are determined by the choice of associated representation. Taking the quotient isolates the part of the spectrum supporting the chosen representatio
Externí odkaz:
http://arxiv.org/abs/1711.00918
We investigate the spectral statistics of Hermitian matrices in which the elements are chosen uniformly from U (1), called the uni-modular ensemble (UME), in the limit of large matrix size. Using three complimentary methods; a supersymmetric integrat
Externí odkaz:
http://arxiv.org/abs/1703.09587
Publikováno v:
Acta Physica Polonica A, vol. 128, no.6, pp 983, December 2015
We derive the joint probability distribution of the first two spectral moments for the G$\beta$E random matrix ensembles in N dimensions for any N. This is achieved by making use of two complementary invariants of the domain in $\mathbb{R}^N$ where t
Externí odkaz:
http://arxiv.org/abs/1510.03898
Autor:
Joyner, Christopher H., Smilansky, Uzy
We offer an alternative viewpoint on Dyson's original paper regarding the application of Brownian motion to random matrix theory (RMT). In particular we show how one may use the same approach in order to study the stochastic motion in the space of ma
Externí odkaz:
http://arxiv.org/abs/1503.06417