6 papers
Coefficients of -real numbers: their combinatorial meaning and growth
Pavel Etingof, Valentin Ovsienko
A -deformed real number, or ``-real'', was defined by Morier-Genoud and the second author. When such that , the -analogue is a power serie…
The Drinfeld center of an oligomorphic tensor category
Pavel Etingof, Andrew Snowden
Recently, Harman and the second author introduced a new construction of pre-Tannakian tensor categories based on oligomorphic groups. We develop tools for analyzing the Drinfeld ce…
On Lagrangianity of -supports of holonomic D-modules and -D-modules
Pavel Etingof
M. Kontsevich conjectured and T. Bitoun proved that if M is a nonzero holonomic D-module then the p-support of a generic reduction of M to characteristic p>0 is Lagrangian. We prov…
On -real and -complex numbers
Pavel Etingof
In arXiv:1812.00170 and arXiv:1908.04365, Morier-Genoud and Ovsienko introduced -rational numbers , rational functions specializing to at , and their extension t…
Iterating sine, equivalence classes of variable changes, and groups with few conjugacy classes
Pavel Etingof
This is an expository paper about iterations of a smooth real function on such that , , and for , i.e., the sequence defined by…
On Some Special Cases of Gaiotto's Positivity Conjecture
Pavel Etingof
We prove a conjecture of D. Gaiotto on positivity of inner products arising in studying Landau-Ginzburg boundary conditions in the 1-dimensional case, and in special cases in highe…