Jinyoung Park

activity

20172023

most citedDeep neural network for solving differential equations motivated by Legendre-Galerkin approximation

5 citations · 6 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019

Thresholds versus fractional expectation-thresholds

Keith Frankston, Jeff Kahn, Bhargav Narayanan +1

Proving a conjecture of Talagrand, a fractional version of the 'expectation-threshold' conjecture of Kalai and the second author, we show for any increasing family $F$ on a finite…

math.CO2019★ 1 cited

The number of maximal independent sets in the Hamming cube

Jeff Kahn, Jinyoung Park

Let $Q_{n}$ be the $n$ -dimensional Hamming cube and $N = 2^{n}$ . We prove that the number of maximal independent sets in $Q_{n}$ is asymptotically \[2n2^{N/4},\] as was conjectured by Ilin…

math.CO2019

An isoperimetric inequality for the Hamming cube and some consequences

Jeff Kahn, Jinyoung Park

Our basic result, an isoperimetric inequality for Hamming cube $Q_{n}$ , can be written: \[ \int h_A^βdμ\ge 2 μ(A)(1-μ(A)). \] Here $μ$ is uniform measure on $V = {0, 1}^{n}$ ( $= V (Q_{n})$ )…