111 citations · 191 across the 15 of their papers we have counts for
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math.DS2017★ 7 cited
The dynamics of digits: Calculating pi with Galperin's billiards
X. M. Aretxabaleta, M. Gonchenko, N. L. Harshman +3
In Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number . This classical, one-dimensional three-body system (counting…
quant-ph2017★ 26 cited
Integrable families of hard-core particles with unequal masses in a one-dimensional harmonic trap
N. L. Harshman, Maxim Olshanii, A. S. Dehkharghani +3
We show that the dynamics of particles in a one-dimensional harmonic trap with hard-core interactions can be solvable for certain arrangements of unequal masses. For any number of…