• Corpus ID: 233481502

Diffusion of a particle via a stochastic process on the Pascal'e pyramid

@inproceedings{Kao2021DiffusionOA,
  title={Diffusion of a particle via a stochastic process on the Pascal'e pyramid},
  author={Pei-wen Kao},
  year={2021}
}
In this note, we construct a 3-dimensional generalisation of the Pascal’s triangle that we named Pascal’s cube, as it has the construction of a cube with entries given by extended binomial coefficients C b . The Pascal’s cube is equivalent to the well-studied Pascal’s pyramid, with the advantage that the Pascal’s cube can be mapped onto the Cartesian plane for easier computation. We define a stochastic process using extended binomial coefficients on the Pascal’s pyramid representing the… 

References

SHOWING 1-7 OF 7 REFERENCES
A source book in mathematics, p 67-79
  • 1929
Stochastic Processes And Filtering Theory
Solving Schrödinger equation via Tartaglia/Pascal triangle: a possible link between stochastic processing and quantum mechanics
In a recent paper (Farina et al. in Signal Image Video Process 1–16, 2011), it was shown a clean connection between the solution of the classical heat equation and the Tartaglia/Pascal/Yang-Hui
Derivation of the Schrödinger Equation from a Stochastic Theory
On suppose que chaque particule de masse m subit des fluctuations sous microscopiques aleatoires de position et d'impulsion. On deduit alors l'equation de Schrodinger a partir de la mecanique
The Pascal Pyramid.
Already the numerical data were frustrat ing: How could the coefficients, 1, 2, 1, 2, 1, 2 be arranged in some symmetric analog of the corresponding binomial coefficients 1, 2, 1? (What teacher has
An Introduction To Probability Theory And Its Applications
TLDR
A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.
A Source Book in Mathematics
THIS is a very entertaining volume, a surprisingly successful attempt to do what nearly all good judges would have declared to be impossible. Its aim is “to present the most significant passages from