Share This Author
Partition bijections, a survey
- I. Pak
- Mathematics
- 1 August 2006
We present an extensive survey of bijective proofs of classical partitions identities. While most bijections are known, they are often presented in a different, sometimes unrecognizable way. Various…
Lifting Markov chains to speed up mixing
- Fangu Chen, L. Lovász, I. Pak
- MathematicsSTOC '99
- 1 May 1999
TLDR
Log-concavity of the partition function
- S. Desalvo, I. Pak
- Mathematics
- 29 October 2013
We prove that the partition function $$p(n)$$p(n) is log-concave for all $$n>25$$n>25. We then extend the results to resolve two related conjectures by Chen and one by Sun. The proofs are based on…
On non-uniqueness of percolation on nonamenable Cayley graphs *
- I. Pak, Tatiana Smirnova-Nagnibeda
- Mathematics
- 15 March 2000
Ribbon tile invariants
- I. Pak
- Mathematics
- 8 August 2000
Let T be a finite set of tiles, and B a set of regions F tileable by T. We introduce a tile counting group G(T, B) as a group of all linear relations for the number of times each tile T C T can occur…
Hook formulas for skew shapes I. q-analogues and bijections
- A. Morales, I. Pak, G. Panova
- MathematicsJ. Comb. Theory, Ser. A
- 28 December 2015
The shape of random pattern-avoiding permutations
- Samuel Miner, I. Pak
- MathematicsAdv. Appl. Math.
- 29 March 2013
The product replacement algorithm is polynomial
- I. Pak
- Computer ScienceProceedings 41st Annual Symposium on Foundations…
- 12 November 2000
TLDR
Kronecker products, characters, partitions, and the tensor square conjectures
- I. Pak, G. Panova, Ernesto Vallejo
- Mathematics
- 2 April 2013
Hook formulas for skew shapes
- A. Morales, I. Pak, G. Panova
- Mathematics
- 28 December 2015
The celebrated hook-length formula gives a product formula for the number of standard Young tableaux of a straight shape. In 2014, Naruse announced a more general formula for the number of standard…
...
...