1 citations · 1 across the 2 of their papers we have counts for
8 papers
Integrable bodies in odd-dimensional spaces
V. A. Vassiliev
V. Arnold's problem 1987-14 asks whether there exist smooth hypersurfaces in (other than the conics in odd-dimensional spaces) for which the volume of the segment cut by any…
New Examples of Irreducible Local Diffusion of Hyperbolic PDE's
Victor A. Vassiliev
Local diffusion of strictly hyperbolic higher-order PDE's with constant coefficients at all simple singularities of corresponding wavefronts can be explained and recognized by only…
New examples of locally algebraically integrable bodies
Victor A. Vassiliev
Any compact body in with smooth boundary defines a two-valued function on the space of affine hyperplanes: the volumes of two parts into which these hyperplanes cut…
Homology of the complex of not 2-divisible partitions
Victor A. Vassiliev
The rational homology group of the order complex of non-even partitions of a finite set is calculated. A twisted version of the Goresky-MacPherson approach to similar homology calc…
Lacunas and local algebraicity of volume functions
Victor A. Vassiliev
The volume cut off by a hyperplane from a bounded body with smooth boundary in never is an algebraic function on the space of hyperplanes: for k=1 it is the famous lemma X…
Rational homology of configuration spaces of the Moebius strip and projective plane
Victor A. Vassiliev
All rational homology groups of unordered configuration spaces of the Moebius strip and the projective plane are calculated