5 citations · 8 across the 6 of their papers we have counts for
6 papers
Probability distribution of the resistance of a random network
Thomas Callaghan, Joseph B. Keller
The probability density of the resistance of a two dimensional rectangular network between two conducting plates is calculated. The nodes form an by lattice, and each edge…
Piecewise Linear Phase Transitions
Joseph B. Keller
It is shown how simple assumptions lead to piecewise linear behavior, which is observed in certain phase transitions.
Stirling's formula derived simply
Joseph B. Keller, Jean-Marc Vanden-Broeck
Stirling's formula, the asymptotic expansion of for large, or of for , is derived directly from the recursion equation and the normali…
A recursion equation for prime numbers
Joseph B. Keller
It is shown that the first prime numbers determine the next one by the recursion equation $$ p_{n+1} =\lim\limits_{s\to +\infty} [\prod\limits^n_{k=1} (1-\frac{1}…
Approximate Equations for Large Scale Atmospheric Motions
Joseph B. Keller, Lu Ting
A systematic derivation of a set of equations governing large scale atmospheric motions is presented. They are derived by introducing new variables scaled in terms of a small param…
Periodically generated propagating pulses
L. L. Bonilla, M. Kindelan, J. B. Keller
Certain equations with integral constraints have as solutions time-periodic pulses of a field-like unknown while a current-like unknown oscillates periodically with time. A general…