NewEvery arXiv paper, its researchers & institutions — mapped.
papers

Publications (25)

math.DS2004

The dynamics of Pythagorean triples

Dan Romik

math.PR2003

Waiting for a bat to fly by (in polynomial time)

Itai Benjamini, Gady Kozma, Laszlo Lovasz +2

math.PR2012

Arctic circles, domino tilings and square Young tableaux

Dan Romik

math.NT2018

The Taylor coefficients of the Jacobi theta constant $θ_3$

Dan Romik

math.CO2014

Limit shapes of bumping routes in the Robinson-Schensted correspondence

Dan Romik, Piotr Śniady

math.CO2007

Enumeration formulas for Young tableaux in a diagonal strip

Yuliy Baryshnikov, Dan Romik

math.CO2003

Shortest paths in the Tower of Hanoi graph and finite automata

Dan Romik

math.PR2005

Universal finitary codes with exponential tails

Nate Harvey, Alexander E. Holroyd, Yuval Peres +1

math.PR2003

Integrals, Partitions, and Cellular Automata

Alexander E. Holroyd, Thomas M. Liggett, Dan Romik

math.PR2007

Gravitational allocation to Poisson points

Sourav Chatterjee, Ron Peled, Yuval Peres +1

math.CO2009

A formula for the doubly-refined enumeration of alternating sign matrices

Matan Karklinsky, Dan Romik

math.PR2004

Limit shapes for random square Young tableaux and plane partitions

Boris Pittel, Dan Romik

math.PR2004

Random walks with $k$-wise independent increments

Itai Benjamini, Gady Kozma, Dan Romik

math.PR2015

Jeu de taquin dynamics on infinite Young tableaux and second class particles

Dan Romik, Piotr Śniady

math.PR2006

Random Sorting Networks

Omer Angel, Alexander E. Holroyd, Dan Romik +1

math.CO2009

More refined enumerations of alternating sign matrices

Ilse Fischer, Dan Romik

math.PR2003

Explicit formulas for hook walks on continual Young diagrams

Dan Romik

math.NT2016

On the number of n-dimensional representations of SU(3), the Bernoulli numbers, and the Witten zeta function

Dan Romik

math.DG2016

Differential equations and exact solutions in the moving sofa problem

Dan Romik

math.PR2013

Connectivity patterns in loop percolation I: the rationality phenomenon and constant term identities

Dan Romik

math.NT2019

Orthogonal polynomial expansions for the Riemann xi function

Dan Romik

math.PR2009

The oriented swap process

Omer Angel, Alexander Holroyd, Dan Romik

math.PR2009

Phase Transitions in Gravitational Allocation

Sourav Chatterjee, Ron Peled, Yuval Peres +1

math.MG2018

Improved upper bounds in the moving sofa problem

Yoav Kallus, Dan Romik

math-ph2014

Bijective combinatorial proof of the commutation of transfer matrices in the dense O(1) loop model

Ron Peled, Dan Romik