1 citations · 1 across the 10 of their papers we have counts for
10 papers
Extremal persistence probabilities of exchangeable sign-invariant random variables
Daniel Iľkovič, Jun Yan
Let be a random variable in that is both exchangeable and sign-invariant. For every , let . Define t…
Exact enumeration of lozenge tilings of a triangular region
Jun Yan
We prove that the number of lozenge tilings of a certain triangular region is given by the formula \[T_n=\prod_{\substack{1\leq a<b\leq 3n+2\\(a,b)\not=(n+1,2n+2)}}…
An Erdős--Szekeres type result for words with repeats
Kyle Celano, Abigail Ollson, Niraj Velankar +1
We prove an Erdős--Szekeres type result for finite words over with repeated values. Specifically, we define a \emph{repeat} in a word to be an occurrence of a value wh…
Multivalued forbidden numbers of two-rowed configurations -- the missing cases
Wallace Peaslee, Attila Sali, Jun Yan
The present paper considers extremal combinatorics questions in the language of matrices. An -matrix is a matrix with entries in . An -matrix is simple i…
Lattice paths enumerations weighted by ascent lengths
Jun Yan
Recent work of the author connected several parking function enumeration problems to enumerations of Catalan paths with respect to certain weight functions that are expressed in te…
Exponential odd-distance sets under the Manhattan metric
Alberto Espuny Díaz, Emma Hogan, Freddie Illingworth +3
We construct a set of points in such that all pairwise Manhattan distances are odd integers, which improves the recent linear lower bound of Golovanov, Kupavsk…
Descents and inversions in powers of permutations
Stijn Cambie, Jun Yan
In this paper, we generalise several recent results by Archer and Geary on descents in powers of permutations, and confirm all their conjectures. Specifically, for all $k\in\mathbb…
Results on pattern avoidance in parking functions
Jun Yan
In this paper, we mainly study two notions of pattern avoidance in parking functions. First, for any collection of length 3 patterns, we compute the number of parking functions of…
An intermediate case of exponential multivalued forbidden matrix configuration
Wallace Peaslee, Attila Sali, Jun Yan
The forbidden number forb, which denotes the maximum number of distinct columns in an -rowed -matrix with no submatrix that is a row and column permutation of ,…
Degree sequences of triangular multigraphs
John Talbot, Jun Yan
A simple graph is triangular if every edge is contained in a triangle. A sequence of integers is graphical if it is the degree sequence of a simple graph. Egan and Nikolayevsky rec…