From the 1 of 5 linked papers with an AI index.
5 papers
Determinant and Pfaffian formulas for particle annihilation
Piotr Åniady
The paper introduces a ghost‑particle technique that keeps the number of trajectories constant, allowing exact determinantal and Pfaffian formulas for annihilation probabilities in…
Exact determinant formulas for coalescing particle systems
Piotr Åniady, Ãkos Urbán
When particles on a line collide, they may coalesce into one. Such systems arise in the voter model, where boundaries between opinion clusters perform coalescing random walks, and…
Pfaffian structure of basin walls for coalescing particles
Piotr Åniady
Coalescing particles on a line merge when they meet. As they do, their basins of attraction merge and the walls between basins disappear. If every site is initially occupied, these…
Coalescing random walks via the coalescence determinant
Piotr Åniady
When identical particles on a line collide, they merge and continue as one. Exact determinantal formulas have long been available for particles conditioned never to collide, but co…
Modulus of continuity of Kerov transition measure for continual Young diagrams
Piotr Åniady
The transition measure is a foundational concept introduced by Sergey Kerov to represent the shape of a Young diagram as a centered probability measure on the real line. Over a per…