2 citations · 2 across the 11 of their papers we have counts for
12 papers
Selective Integration on Higher Adeles and the Euler Characteristic of Surfaces
Weronika Czerniawska, Ivan Fesenko
The space of two-dimensional geometric adeles of a surface is far from being a locally compact space and there is no translation countably additive invariant nontrivial measure on…
Comparison of different exit scenarios from the lock-down for COVID-19 epidemic in the UK and assessing uncertainty of the predictions
Anatoly Zhigljavsky, Roger Whitaker, Ivan Fesenko +2
We model further development of the COVID-19 epidemic in the UK given the current data and assuming different scenarios of handling the epidemic. In this research, we further exten…
On the flexibility of Siamese dipyramids
I. Fesenko, V. Gorkavyy
Polyhedra called Siamese dipyramids are known to be non-flexible, however their physical models behave like physical models of flexible polyhedra. We discuss a simple mathematical…
Mean-periodicity and zeta functions
Masatoshi Suzuki, Guillaume Ricotta, Ivan Fesenko
This paper establishes new bridges between number theory and modern harmonic analysis, namely between the class of complex functions, which contains zeta functions of arithmetic sc…
Invitation to higher local fields, Part II, section 9: Local reciprocity cycles
Ivan Fesenko
This is an introduction to noncommutative local reciprocity maps for totally ramified Galois extensions with arithmetically profinite group. These maps in general are not homomorph…
Invitation to higher local fields, Part I, section 16: Higher class field theory without using K-groups
Ivan Fesenko
Author's generalization of one-dimensional class field theory to theory of abelian totally ramified p-extensions of a complete discrete valuation field with arbitrary non-separably…