Derives leading asymptotics for collision-time tails of integrable inhomogeneous Markov chains via steepest-descent analysis and Karlin-McGregor expansion, confirming a prediction for push-block particle systems.
On the functions counting walks with small steps in the quarter plane
2 Pith papers cite this work, alongside 42 external citations. Polarity classification is still indexing.
2
Pith papers citing it
42
external citations · OpenAlex
years
2026 2representative citing papers
Partial advance on the conjecture that a quarter-plane walk's univariate generating function is D-finite precisely when its group is finite, by establishing non-D-finiteness for 21 infinite-group cases and stating a conjecture for 21 others.
citing papers explorer
-
Non-colliding space-time inhomogeneous Markov chains
Derives leading asymptotics for collision-time tails of integrable inhomogeneous Markov chains via steepest-descent analysis and Karlin-McGregor expansion, confirming a prediction for push-block particle systems.
-
On the small-step quarter plane lattice walks with a non D-finite univariate generating function
Partial advance on the conjecture that a quarter-plane walk's univariate generating function is D-finite precisely when its group is finite, by establishing non-D-finiteness for 21 infinite-group cases and stating a conjecture for 21 others.