Manuel Quaschner

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math-ph2026

A general improbability result for non-collision singularities as subsystems with at most four particles

Manuel Quaschner

Non-collision singularities of the $n$ -body problem are initial conditions for which no global solution exists and which, however, do not lead to a collision in the limit; i.e., th…

math-ph2026

Blow-Up, Asymptotics, and Improbability of Collision Singularities in the n-Body Problem

Nathan Duignan, Manuel Quaschner

We study finite-time singularities in $n$ -body systems with pair potentials that are homogeneous of degree $- α$ , where $0 < α < 2$ , that are not necessarily attractive and with bounded…

math-ph2024

Nondeterministic particle systems

Andreas Knauf, Manuel Quaschner

We consider systems of n particles that move with constant velocity between collisions. Their total momentum but not necessarily their kinetic energy is preserved at collisions. As…