On p-adic stochastic dynamics, supersymmetry and the Riemann conjecture

@article{Castro2001OnPS,
  title={On p-adic stochastic dynamics, supersymmetry and the Riemann conjecture},
  author={Carlos Castro},
  journal={Chaos Solitons \& Fractals},
  year={2001},
  volume={15},
  pages={15-24}
}
  • C. Castro
  • Published 30 January 2001
  • Mathematics
  • Chaos Solitons & Fractals

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References

SHOWING 1-10 OF 49 REFERENCES

The Riemann Zeros and Eigenvalue Asymptotics

It is speculated that the Riemann dynamics is related to the trajectories generated by the classical hamiltonian Hcl=XP, and very refined features of the statistics of the tn can be computed accurately from formulae with quantum analogues.

Topological geometrodynamics

An elementary particle model is proposed drawn from the string model and Yang-Mills theory. Instead of describing a particle as a mathematical point, we identify it as three-dimensional submanifold

p-adic numbers in physics

Comments on the Riemann conjecture and index theory on Cantorian fractal space-time

SUPERCOMPUTERS AND THE RIEMANN ZETA FUNCTION

A new algorithm, invented by the speaker and A. Scho .

Proof of Riemann hypothesis

Riemann hypothesis is proven by reducing the vanishing of Riemann Zeta function to an orthogonality condition for eigenfunctions of a generalized Hilbert-Polya operator having the zeros of the

Supersymmetry in Disorder and Chaos

1. Introduction 2. Supermathematics 3. Diffusion modes 4. Nonlinear supermatrix sigma- model 5. Perturbation theory and renormalization group 6. Energy level statistics 7. Quantum size effects in