3 papers
math.DS2006
On Estimates of the Number of Collisions for Billiards in Polyhedral Angles
Lizhou Chen
We obtain an upper bound of the number of collisions of any billiard trajectory in a polyhedral angle in terms of the minimal eigenvalue of a positive definite matrix which charact…
math.GM2006
Proof of Murphy-Cohen Conjecture on One-dimensional Hard Ball Systems
Lizhou Chen
We prove the Murphy and Cohen's conjecture that the maximum number of collisions of n + 1 elastic particles moving freely on a line is n(n+1)/2 if no interior particle has mass les…
math-ph2005
A Remark of the Sanders-Wang's Theorem on Symmetry-integrability
Lizhou Chen
We extend the integrability analysis for scalar evolution equations of type from the case that the right hand side is a -homogeneous formal powe…