1 citations · 1 across the 8 of their papers we have counts for
10 papers
L-space surgeries on (1,1)-knots in
Qingfeng Lyu, Zipei Nie
We extend the diagrammatic criterion for L-space knots by Greene, Lewallen, and Vafaee to -knots in . We also discuss applications to L-space surgerie…
The Snake Algorithm: A Rejection-Free Sampler for Binary Matrices with Fixed Margins
Zipei Nie, Guanyang Wang, Peng Zhang
We study uniform sampling of binary matrices with fixed row and column sums, a recurring problem in ecological null models, Rasch-model testing, network analysis, and combinatorics…
Torsion in asymptotic cones of free groups
Jarek Kędra, Assaf Libman, Zipei Nie
We prove that the asymptotic cone of any non-abelian free group equipped with the bi-invariant word metric has elements of order 2.
On Feige's conjecture
Zipei Nie, Jiaye Wei
We present a short proof of Feige's conjecture: for independent nonnegative random variables with expectation one, the probability that their sum is less than is at least…
Petal diagram from simple braids
Zipei Nie
We construct petal diagrams from simple braids. This approach allows us to confirm a conjecture proposed by Kim, No and Yoo, which states that the petal number of the nontrivial to…
Non-left-orderability of cyclic branched covers of pretzel knots
Lin Li, Zipei Nie
We prove the non-left-orderability of the fundamental group of the -th fold cyclic branched cover of the pretzel knot for all integers and . These $3…