10 citations · 10 across the 5 of their papers we have counts for
5 papers
Spinning top in quadratic potential and matrix dressing chain
V. E. Adler, A. P. Veselov
We show that the equations of motion of the rigid body about centre of mass in the Newtonian field with a quadratic potential are special reductions of period-one closure of the Da…
Conway's light on the shadow of Mordell
A. P. Veselov
Recently Valentin Ovsienko introduced a ``shadow" version of the celebrated Markov triples as the solutions of certain version of Markov equation over dual numbers. We will discuss…
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…