2 problems

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Murphy–Cohen collision-count conjecture for one-dimensional hard-ball systems
Let $n+1$ elastic particles with masses $m_0,m_1,\ldots,m_n$ move freely on a line, numbered in order of increasing coordinates. A collision is an elastic collision between two nei…
Conjectureopencollision-dynamics dynamical-systems hard-ball-systemsarXiv posted 2 days ago
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The conjecture that deterministic systems satisfy Theorem 1
Deterministic-systems conjecture. Deterministic systems should satisfy Theorem 1, in particular for any number of hard balls in a box.
Conjectureopendynamical-systems ergodic-theory hard-ball-systemsarXiv posted 2 days ago

Murphy–Cohen collision-count conjecture for one-dimensional hard-ball systems