@article{fayolle:hal-03008556, TITLE = {{Conditions for some non stationary random walks in the quarter plane to be singular or of genus 0}}, AUTHOR = {Fayolle, Guy and Iasnogorodski, Roudolf}, URL = {https://inria.hal.science/hal-03008556}, JOURNAL = {{Markov Processes And Related Fields}}, PUBLISHER = {{Polymat Publishing Company}}, VOLUME = {27}, NUMBER = {1}, PAGES = {12}, YEAR = {2021}, MONTH = Mar, KEYWORDS = {Algebraic curve ; functional equation ; generating function ; genus ; quarterplane ; Riemann surface ; singular random walk}, PDF = {https://inria.hal.science/hal-03008556v3/file/noyau.pdf}, HAL_ID = {hal-03008556}, HAL_VERSION = {v3}, }