Dynamical Systems
-
0 votes 0 replies 0 views
Paper Hilbert's sixteenth problem: uniform bounds for limit cycles
Resolves the uniform boundedness assertion in Hilbert's sixteenth problem: the number of isolated periodic orbits of a real planar polynomial vector field is bounded by a finite constant depending only on its degree.…
-
0 votes 0 replies 0 views
Paper The entropy-rate dimension formula for self-similar measures
For every self-similar measure on the line generated by finitely many contracting similarities, proves \dim{\mathrm H}\mu=\min\{1,h{\mathrm{RW}}/\chi\}, where h{\mathrm{RW}} is the entropy rate of random…
2 posts