V. Vassiliev

activity

19952026

most citedOn invariants and homology of spaces of knots in arbitrary manifolds

18 citations · 51 across the 30 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.AG2023

Complements of caustics of real function singularities

V. A. Vassiliev

We study the topology of complements of caustics of function singularities of low codimensions, in particular 1) complete the enumeration of connected components of the complements…

math.CA2023

Average intersection number of trigonometric plane curves in $L_{2}$ and $W_{2}^{r}$ statistics

V. A. Vassiliev

The average value of the number of intersection points of two plane curves given by trigonometrical polynomial maps of degree $N$ and bounded $L_{2}$ - or $W_{2}^{r}$ - norms is calculated

Complements of caustics of real function singularities

Average intersection number of trigonometric plane curves in L2​ and W2r​ statistics

Average intersection number of trigonometric plane curves in $L_{2}$ and $W_{2}^{r}$ statistics