Pavel Etingof

collaborators

3 papers

math.CO2026

Coefficients of $q$ -real numbers: their combinatorial meaning and growth

Pavel Etingof, Valentin Ovsienko

A $q$ -deformed real number, or `` $q$ -real'', was defined by Morier-Genoud and the second author. When $x \in R$ such that $x \geq 0$ , the $q$ -analogue $[x]_{q}$ is a power serie…

math.HO2025

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 $f$ on $[0, ε)$ such that $f (0) = 0$ , $f^{'} (0) = 1$ , and $f (x) < x$ for $x > 0$ , i.e., the sequence defined by…

math.AG2025

On Lagrangianity of $p$ -supports of holonomic D-modules and $q$ -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…

Coefficients of q-real numbers: their combinatorial meaning and growth

Iterating sine, equivalence classes of variable changes, and groups with few conjugacy classes

On Lagrangianity of p-supports of holonomic D-modules and q-D-modules

Coefficients of $q$ -real numbers: their combinatorial meaning and growth

On Lagrangianity of $p$ -supports of holonomic D-modules and $q$ -D-modules