D. Romik

activity

20032005

most citedLimit shapes for random square Young tableaux and plane partitions

9 citations · 12 across the 8 of their papers we have counts for

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Showing 2003 · math.PRShow all

3 papers · 2 filters

math.PR2003

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

Itai Benjamini, Gady Kozma, Laszlo Lovasz +2

We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans…

math.PR2003

Explicit formulas for hook walks on continual Young diagrams

Dan Romik

We consider, following the work of S. Kerov, random walks which are continuous-space generalizations of the Hook Walks defined by Greene-Nijenhuis-Wilf, performed under the graph o…

math.PR2003

Integrals, Partitions, and Cellular Automata

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

We prove that $\int_{0}^{1} \frac{- lo g f ( x )}{x} d x = \frac{π ^{2}}{3 ab}$ where $f (x)$ is the decreasing function that satisfies $f^{a} - f^{b} = x^{a} - x^{b}$ , for $0 < a < b$ . When $a$ is an integer and $b=…