Arnold's Problems
By Vladimir I. Arnold. 2008
96 citations recorded by the source corpus.
Subfields: Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/704711f0f53b36e76056e37954c85d9ad9488d77
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In Physical and Theoretical Chemistry
Citations in the corpus
- Quantitative ergodic theorems and their number-theoretic applications (2013, background): “hypersurface x 2 1 + 2+ x d x d+1 = 1 in Rd+1 equipped with the Minkowski metric ds2 = dx2 1 + + dx2 d dx 2 d+1 . The problem of distribution of orbits on the de Sitter space was raised by V. Arnol’d [Ar, 1996-15, 2002-16]. After stating the result, we will explain a general strategy how to study di”
- Existence of hypersurfaces with prescribed mean curvature I – generic min-max (2018, background): “onjecture. The original question, which remains open, is the existence of closed embedded curvesofprescribed constant geodesic curvature onatopological S2 (see[25,50,51] for more backgrounds); Arnold [6, 1996-17, 1996-18] later posed the natural extension to nonconstant prescribed curvature. Ourprev”
- Perturbations of quadratic centers of genus one (2007, background): “nian triangle, it is very likely that Conjecture 2 is still open. We recall that quadratic perturbations of the general Lotka-Volterra system have been considered in [23]. However, in the recent book [1], page 379, V.I. Arnold declared that the problem with the Lotka-Volterra system still remains op”