The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The Hawkins sieve and brownian motion

Dorothy Foster; David Williams

Compositio Mathematica (1978)

  • Volume: 37, Issue: 3, page 277-289
  • ISSN: 0010-437X

How to cite

top

Foster, Dorothy, and Williams, David. "The Hawkins sieve and brownian motion." Compositio Mathematica 37.3 (1978): 277-289. <http://eudml.org/doc/89383>.

@article{Foster1978,
author = {Foster, Dorothy, Williams, David},
journal = {Compositio Mathematica},
keywords = {Hawkins Sieve; Riemann Hypothesis; Sample Space; Brownian Motion; Diffusion; Martingales},
language = {eng},
number = {3},
pages = {277-289},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {The Hawkins sieve and brownian motion},
url = {http://eudml.org/doc/89383},
volume = {37},
year = {1978},
}

TY - JOUR
AU - Foster, Dorothy
AU - Williams, David
TI - The Hawkins sieve and brownian motion
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 37
IS - 3
SP - 277
EP - 289
LA - eng
KW - Hawkins Sieve; Riemann Hypothesis; Sample Space; Brownian Motion; Diffusion; Martingales
UR - http://eudml.org/doc/89383
ER -

References

top
  1. [1] D. Freedman: Brownian Motion and Diffusion (Holden-Day, San Francisco, 1971). Zbl0231.60072MR297016
  2. [2] D.G. Kendall: Branching processes since 1873, J. London Math. Soc.41 (1966) 385-406. Zbl0154.42505MR198551
  3. [3] M. Loéve: Probability Theory (van Nostrand, Princeton, N.J., 1963). Zbl0108.14202MR203748
  4. [4] H.P. McKean: Stochastic Integrals (Academic Press, New York-London, 1969). Zbl0191.46603MR247684
  5. [5] W. Neudecker and D. Williams: The 'Riemann hypothesis' for the Hawkins random sieve, Compositio Math.29 (1974) 197-200. Zbl0312.10033MR399029
  6. [6] M. Pinsky: Differential equations with a small parameter and the central limit theorem for functions defined on a Markov chain, Z. Wahrscheinlichkeitstheorie9 (1968) 101-111. Zbl0155.24203MR228067
  7. [7] V. Strassen: Almost sure behavior of sums of independent random variables and martingales, Proc. 5th Berkeley Symp., Vol. 2, part 1 (1966) 315-343. Zbl0201.49903MR214118
  8. [8] D.W. Stroock: Two limit theorems for random evolutions having non-ergodic driving processes, (to appear in proceedings of Park City, Utah conference on stochastic differential equations). Zbl0463.60052
  9. [9] D. Williams: A study of a diffusion process motivated by the sieve of Eratosthenes, Bull. London Math. Soc.6 (1974) 155-164. Zbl0326.60094MR359027
  10. [10] M.C. Wunderlich: The prime number theorem for random sequences, J. Number Theory8 (1976) 369-371. Zbl0341.10036MR429799

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.