Peng Xu

collaborators

4 papers

math.RT2019

Mod- $p$ maximal compact inductions do not have irreducible admissible subrepresentations

Peng Xu

Let $p$ be a prime number. We show in this short note that mod- $p$ maximal compact inductions of a $p$ -adic split reductive group do not have irreducible admissible subrepresentati…

math.RT2019

On certain Iwahori--Hecke modules of $G L_{3}$ in characteristic $p$

Peng Xu

In this note, we show that the natural analogue of certain finiteness result of Barthel--Livn $e ˊ$ on $G L_{2}$ fails for $G L_{3}$ . More precisely, within the pro- $p$ -Iwaho…

math.FA2018

An Exact Upper Bound on the $L^{p}$ Lebesgue Constant and The $\infty$ -Rényi Entropy Power Inequality for Integer Valued Random Variables

Peng Xu, Mokshay Madiman, James Melbourne

In this paper, we proved an exact asymptotically sharp upper bound of the $L^{p}$ Lebesgue Constant (i.e. the $L^{p}$ norm of Dirichlet kernel) for $p \geq 2$ . As an application, we also…

math.RT2018

On the pro- $p$ -Iwahori invariants of supersingular representations of unramified $U (2, 1)$

Peng Xu

Let $G$ be the unramified unitary group $U (2, 1) (E / F)$ over a non-archimedean local field $F$ of odd residue characteristic $p$ . In this paper, for any supersingular representation…

Mod-p maximal compact inductions do not have irreducible admissible subrepresentations

On certain Iwahori--Hecke modules of GL3​ in characteristic p

An Exact Upper Bound on the Lp Lebesgue Constant and The ∞-Rényi Entropy Power Inequality for Integer Valued Random Variables

On the pro-p-Iwahori invariants of supersingular representations of unramified U(2,1)

Mod- $p$ maximal compact inductions do not have irreducible admissible subrepresentations

On certain Iwahori--Hecke modules of $G L_{3}$ in characteristic $p$

An Exact Upper Bound on the $L^{p}$ Lebesgue Constant and The $\infty$ -Rényi Entropy Power Inequality for Integer Valued Random Variables

On the pro- $p$ -Iwahori invariants of supersingular representations of unramified $U (2, 1)$