3 citations · 3 across the 4 of their papers we have counts for
4 papers
Flexible polyhedral nets in isotropic geometry
O. Pirahmad, H. Pottmann, M. Skopenkov
We study flexible polyhedral nets in isotropic geometry. This geometry has a degenerate metric, but there is a natural notion of flexibility. We study infinitesimal and finite flex…
Feynman checkers: through the looking-glass
Fedor Ozhegov, Mikhail Skopenkov, Alexey Ustinov
Feynman gave a famous elementary introduction to quantum theory by discussing the thin-film reflection of light. We make his discussion mathematically rigorous, keeping it elementa…
Area preserving Combescure transformations
O. Pirahmad, H. Pottmann, M. Skopenkov
Motivated by the design of flexible nets, we classify all nets of arbitrary size m x n that admit a continuous family of area-preserving Combescure transformations. There are just…
Feynman checkers: lattice quantum field theory with real time
Mikhail Skopenkov, Alexey Ustinov
We present a new completely elementary model that describes the creation, annihilation, and motion of non-interacting electrons and positrons along a line. It is a modification of…