180 citations · 1.3k across the 62 of their papers we have counts for
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math.NT2025
Regularized products of Gauss and Eisenstein integers and primes
P. L. Krapivsky, J. M. Luck
We provide heuristic computations à la Euler of the regularized infinite products of Gauss and Eisenstein integers and primes. Our approach, yielding explicit expressions, is inspi…
cond-mat.stat-mech2025
Impurity dynamics in a zero-temperature gas
Umesh Kumar, Abhishek Dhar, P. L. Krapivsky
If energy is suddenly released in a localized region of space uniformly filled with identical stationary hard spheres, the outcome is a blast with an asymptotically spherical shock…
cond-mat.stat-mech2025★ 3 cited
Finite-time blowup of a Brownian particle in a repulsive potential
P. L. Krapivsky, Baruch Meerson
We consider a Brownian particle performing an overdamped motion in a power-law repulsive potential. If the potential grows with the distance faster than quadratically, the particle…