Log24

(Continued)

An article in the new April issue of Notices of the American
Mathmatical Society  suggests a search for connections
between the Calkin-Wilf tree and the modular group.

The search yields, for instance (in chronological order) …

"Cutting sequences for geodesic flow on the modular surface
and continued fractions," David J. Grahinet, Jeffrey C. Lagaria,
arXiv, 2 April 2001

"Orderings of the rationals and dynamical systems,"
Claudio Bonanno, Stefano Isola, arXiv, 14 May 2008.

"Periods of negative-regular continued fractions. Rational numbers."
Sergey Khrushchev and Michael Tyaglov, slides PDF, 11 Sept. 2012

"The Minkowski ?(x) function, a class of singular measures,
theta-constants, and mean-modular forms," Giedrius Alkauskas,
arXiv, 20 Sept. 2012

"Forests of complex numbers,"
Melvyn B. Nathanson, arXiv, 1 Dec. 2014

Update of March 21, 2015:

For many more related papers, search by combining the
phrase "modular group" with phrases denoting forking structures
other than Calkin-Wilf, such as "cubic tree," "Stern-Brocot tree,"
and "Farey tree" (or "Farey sequence" or "Farey series" or
"Farey graph" ).

"When you come to a fork in the road, take it." — Yogi Berra

This evening's NY Lottery numbers were 375 and 3141.

Subjective interpretations—

There seems to be only one relevant result of a Google search for "375 Log24"—

There are, however, two  relevant interpretations of the number 3141—

1. The Saturday Evening Post  3/1/41 article by Jack Alexander on AA—

"The members of Alcoholics Anonymous do not pursue or coddle
a malingering prospect, and they know the strange tricks of the alcoholic
as a reformed swindler knows the art of bamboozling."

2. Post number 3141 in this  journal— Aesthetics for Jesuits.

A comment on the Scholarly Kitchen  piece from
this morning's previous post —

This suggests …

The Beast from Hell's Kitchen

For some thoughts on mapping trees into
linear arrays, see The Forking (March 20, 2015).

See also Pitchfork in this journal.