Pakawut Jiradilok

activity

20152026

most citedTheta characteristics of tropical

K_{4}

-curves

3 citations · 5 across the 13 of their papers we have counts for

collaborators

16 papers

cs.CG2026

Denoising Distances in Metric Measure Spaces

Han Huang, Pakawut Jiradilok, Elchanan Mossel

Recent work studied the problem of finding clusters and denoising pairwise distances from noisy distances of points sampled on a manifold. We study the same problems in more genera…

stat.ML2026

Denoising distances beyond the volumetric barrier

Han Huang, Pakawut Jiradilok, Elchanan Mossel

We study the problem of reconstructing the latent geometry of a $d$ -dimensional Riemannian manifold from a random geometric graph. While recent works have made significant progress…

math.PR2025

Reconstructing Riemannian Metrics From Random Geometric Graphs

Han Huang, Pakawut Jiradilok, Elchanan Mossel

Random geometric graphs are random graph models defined on metric measure spaces. A random geometric graph is generated by first sampling points from a metric space and then connec…

math.PR2025

Random Subwords and Billiard Walks in Affine Weyl Groups

Colin Defant, Pakawut Jiradilok, Elchanan Mossel

Let $W$ be an irreducible affine Weyl group, and let $b$ be a finite word over the alphabet of simple reflections of $W$ . Fix a probability $p \in (0, 1)$ . For each integer $…

math.CO2024

Some Combinatorial Formulas Related to Diagonal Ramsey Numbers

Pakawut Jiradilok

We derive some combinatorial formulas related to the diagonal Ramsey numbers $R (k)$ . Each formula is a statement of the form " $F (n, k) = 0$ if and only if $n \geq R (k)$ ," where $F(n,…

cs.IT2024

Gaussian Broadcast on Grids

Pakawut Jiradilok, Elchanan Mossel

Motivated by the classical work on finite noisy automata (Gray 1982, Gács 2001, Gray 2001) and by the recent work on broadcasting on grids (Makur, Mossel, and Polyanskiy 2022), we…

cs.LG2024

Reconstructing the Geometry of Random Geometric Graphs

Han Huang, Pakawut Jiradilok, Elchanan Mossel

Random geometric graphs are random graph models defined on metric spaces. Such a model is defined by first sampling points from a metric space and then connecting each pair of samp…

math.CO2022

Repeatable patterns and the maximum multiplicity of a generator in a reduced word

Christian Gaetz, Yibo Gao, Pakawut Jiradilok +2

We study the maximum multiplicity $M (k, n)$ of a simple transposition $s_{k} = (k k + 1)$ in a reduced word for the longest permutation $w_{0} = n n - 1 \dots 21$ , a…

math.CO2022

Large-scale Rook Placements

Pakawut Jiradilok

For each certain "nice" piecewise linear function $f : [0, 1] \to [0, 1]$ , we consider a family of growing Young diagrams ${λ (f, N)}_{N = 1}^{\infty}$ by enlarging the region under the…

math.CO2022

Triangular-Grid Billiards and Plabic Graphs

Colin Defant, Pakawut Jiradilok

Given a polygon $P$ in the triangular grid, we obtain a permutation $π_{P}$ via a natural billiards system in which beams of light bounce around inside of $P$ . The different cycles i…

math.CO2021★ 2 cited

Double Rim Hook Cluster Algebras

Michael Chmutov, Pakawut Jiradilok, James Stevens

We describe an infinite family of non-Plücker cluster variables inside the double Bruhat cell cluster algebra defined by Berenstein, Fomin, and Zelevinsky. These cluster variables…

math.CO2021

Transportation Distance between Probability Measures on the Infinite Regular Tree

Pakawut Jiradilok, Supanat Kamtue

In the infinite regular tree $T_{q + 1}$ with $q \in Z_{\geq 2}$ , we consider families ${μ_{u}^{n}}$ , indexed by vertices $u$ and nonnegative integers ("discrete time…

math.CO2019

Roots of descent polynomials and an algebraic inequality on hook lengths

Pakawut Jiradilok, Thomas McConville

We prove a conjecture by Diaz-Lopez et al. that bounds the roots of descent polynomials. To do so, we prove an algebraic inequality, which we refer to as the "Slice and Push Inequa…

math.CO2018

Zonotopes whose cellular strings are all coherent

Rob Edman, Pakawut Jiradilok, Gaku Liu +1

A cellular string of a polytope is a sequence of faces stacked on top of each other in a given direction. The poset of cellular strings, ordered by refinement, is known to be homot…

math.CO2016

Reconstructing Partitions from their Multisets of $k$ -Minors

Pakawut Jiradilok

For non-negative integers $n$ and $k$ with $n \geq k$ , a {\em $k$ -minor} of a partition $λ = [λ_{1}, λ_{2}, \dots]$ of $n$ is a partition $μ = [μ_{1}, μ_{2}, \dots]$ of $n - k$ such that $μ_i \…

math.AG2015★ 3 cited

Theta characteristics of tropical $K_{4}$ -curves

Melody Chan, Pakawut Jiradilok

A $K_{4}$ -curve is a smooth, proper curve X of genus 3 over a nonarchimedean field whose Berkovich skeleton $Γ$ is a complete graph on 4 vertices. The curve X has 28 effective theta…

Denoising Distances in Metric Measure Spaces

Denoising distances beyond the volumetric barrier

Reconstructing Riemannian Metrics From Random Geometric Graphs

Random Subwords and Billiard Walks in Affine Weyl Groups

Some Combinatorial Formulas Related to Diagonal Ramsey Numbers

Gaussian Broadcast on Grids

Reconstructing the Geometry of Random Geometric Graphs

Repeatable patterns and the maximum multiplicity of a generator in a reduced word

Large-scale Rook Placements

Triangular-Grid Billiards and Plabic Graphs

Double Rim Hook Cluster Algebras

Transportation Distance between Probability Measures on the Infinite Regular Tree

Roots of descent polynomials and an algebraic inequality on hook lengths

Zonotopes whose cellular strings are all coherent

Reconstructing Partitions from their Multisets of k-Minors

Theta characteristics of tropical K4​-curves

Reconstructing Partitions from their Multisets of $k$ -Minors

Theta characteristics of tropical $K_{4}$ -curves