TY - JOUR
AB - We show that in the space of all convex billiard boundaries, the set of boundaries with rational caustics is dense. More precisely, the set of billiard boundaries with caustics of rotation number 1/q is polynomially sense in the smooth case, and exponentially dense in the analytic case.
AU - Kaloshin, Vadim
AU - Zhang, Ke
ID - 8420
IS - 11
JF - Nonlinearity
KW - Mathematical Physics
KW - General Physics and Astronomy
KW - Applied Mathematics
KW - Statistical and Nonlinear Physics
SN - 0951-7715
TI - Density of convex billiards with rational caustics
VL - 31
ER -