Level Spacings for Sl
نویسنده
چکیده
We investigate the eigenvalue spacing distributions for randomly generated 4-regular Cayley graphs on SL2(Fp) by numerically calculating their spectra. We present strong evidence that the distributions are Poisson and hence do not follow the Gaussian orthogonal ensemble. Among the Cayley graphs of SL2(Fp) we consider are the new expander graphs recently discovered by Y. Shalom. In addition, we use a Markov chain method to generate random 4-regular graphs, and observe that the average eigenvalue spacings are closely approximated by the Wigner surmise. LEVEL SPACINGS FOR SL2(Fp) JOHN D. LAFFERTY AND DANIEL N. ROCKMORE
منابع مشابه
Level Spacings for Sl(2; P) Level Spacings for Sl 2 (f P )
We investigate the eigenvalue spacing distributions for randomly generated 4-regular Cayley graphs on SL2(Fp) by numerically calculating their spectra. We present strong evidence that the distributions are Poisson and hence do not follow the Gaussian orthogonal ensemble. Among the Cayley graphs of SL2(Fp) we consider are the new expander graphs recently discovered by Y. Shalom. In addition, we ...
متن کاملEvaluation of seed cotton (Gossypium hirsutum L.) production and quality in relation to the different irrigation levels and two row spacings
The effect of row spacings and irrigation levels on the earliness of seed production of cotton was investigated under the Mediterranean environment of central Greece. This particular cotton growing area is exposed to risk of autumn rainfall that might cause low seed quality in fields allocated primarily for seed production. Two varieties of cotton, Celia and Hersi, were planted in two row spaci...
متن کاملتاثیر فاصلهْ کاشت و مقدار بذر بر عملکرد علوفهْ خشک و بذر شبدر برسیم
Knowledge of the effects of row spacings and seeding rates on dual-purpose forage and seed production of an annual legume crop is essential for its proper agronomical exploitation. In this study, the effects of various row spacings and seeding rates on dry matter and seed yield in berseem clover (Trifolium alexandrinum L.) were evaluated in two consecutive years. The experimental design was a s...
متن کاملPerformance Evaluation of a Curved Type Vane Separator at Different Plate Spacings in the Range of 25 to 35mm Using Numerical Simulation
In this paper, the turbulent air droplet flow inside a single passage of a curved type vane separator has been studied numerically. The simulation is based on the Eulerian - Lagrangian method. For turbulent air flow calculations, a computer code was developed to solve the Reynolds Averaged Navier Stokes (RANS) equations together with the equations of Reynolds Stress Transport Model (RSTM) o...
متن کاملتاثیر فاصلهْ کاشت و مقدار بذر بر عملکرد علوفهْ خشک و بذر شبدر برسیم
Knowledge of the effects of row spacings and seeding rates on dual-purpose forage and seed production of an annual legume crop is essential for its proper agronomical exploitation. In this study, the effects of various row spacings and seeding rates on dry matter and seed yield in berseem clover (Trifolium alexandrinum L.) were evaluated in two consecutive years. The experimental design was a s...
متن کامل