12 citations · 22 across the 4 of their papers we have counts for
4 papers
Conway river and Arnold sail
K. Spalding, A. P. Veselov
We establish a simple relation between two geometric constructions in number theory: the Conway river of a real indefinite binary quadratic form and the Arnold sail of the correspo…
Tropical Markov dynamics and Cayley cubic
K. Spalding, A. P. Veselov
We study the tropical version of Markov dynamics on the Cayley cubic, introduced by V.E. Adler and one of the authors. We show that this action is semi-conjugated to the standard a…
Growth of values of binary quadratic forms and Conway rivers
K. Spalding, A. P. Veselov
We study the growth of the values of binary quadratic forms on a binary planar tree as it was described by Conway. We show that the corresponding Lyapunov exponents as…
Lyapunov spectrum of Markov and Euclid trees
K. Spalding, A. P. Veselov
We study the Lyapunov exponents for Markov dynamics as a function of path determined by on a binary planar tree, describing the Markov triples and their…