# Excursion Processes Associated with Elliptic Combinatorics

@article{Baba2017ExcursionPA, title={Excursion Processes Associated with Elliptic Combinatorics}, author={Hiroya Baba and Makoto Katori}, journal={Journal of Statistical Physics}, year={2017}, volume={171}, pages={1035-1066} }

Researching elliptic analogues for equalities and formulas is a new trend in enumerative combinatorics which has followed the previous trend of studying q-analogues. Recently Schlosser proposed a lattice path model in the square lattice with a family of totally elliptic weight-functions including several complex parameters and discussed an elliptic extension of the binomial theorem. In the present paper, we introduce a family of discrete-time excursion processes on $$\mathbb {Z}$$Z starting…

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