farey fraction
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scholarly journals Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point

2009 ◽  
Vol 138 (1-3) ◽  
pp. 447-464 ◽  
Author(s):  
Oscar F. Bandtlow ◽  
Jan Fiala ◽  
Peter Kleban ◽  
Thomas Prellberg
Keyword(s):  
Free Energy ◽  
Critical Point ◽  
Spin Chain ◽  
Farey Fraction

scholarly journals Cluster Approximation for the Farey Fraction Spin Chain

2006 ◽  
Vol 123 (2) ◽  
pp. 455-471 ◽  
Author(s):  
Thomas Prellberg ◽  
Jan Fiala ◽  
Peter Kleban
Keyword(s):  
Spin Chain ◽  
Cluster Approximation ◽  
Farey Fraction

scholarly journals Thermodynamics of the Farey Fraction Spin Chain

2004 ◽  
Vol 116 (5/6) ◽  
pp. 1471-1490 ◽  
Author(s):  
Jan Fiala ◽  
Peter Kleban
Keyword(s):  
Spin Chain ◽  
Farey Fraction

scholarly journals A Farey Fraction Spin Chain

1999 ◽  
Vol 203 (3) ◽  
pp. 635-647 ◽  
Author(s):  
P. Kleban ◽  
A.E. �zl�k
Keyword(s):  
Spin Chain ◽  
Farey Fraction

THE WINDING-NUMBER LIMIT OF PERIOD-DOUBLING CASCADES DERIVED AS FAREY-FRACTION

1994 ◽  
Vol 04 (04) ◽  
pp. 999-1002 ◽  
Author(s):  
VOLKER ENGLISCH ◽  
WERNER LAUTERBORN
Keyword(s):  
Period Doubling ◽  
Accumulation Point ◽  
Winding Number ◽  
Farey Fraction

It is shown, that the winding number w∞ at the accumulation point of a period-doubling cascade can be derived as a Farey sum from each two adjacent winding numbers wk and wk+1 of the cascade.

Farey-fraction frequency modulation in the neuronlike output of siliconp-i-ndiodes at 4.2 K

1987 ◽  
Vol 58 (11) ◽  
pp. 1139-1142 ◽  
Author(s):  
D. D. Coon ◽  
S. N. Ma ◽  
A. G. U. Perera
Keyword(s):  
Frequency Modulation ◽  
Farey Fraction
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