Excursion Processes Associated with Elliptic Combinatorics

  title={Excursion Processes Associated with Elliptic Combinatorics},
  author={Hiroya Baba and Makoto Katori},
  journal={Journal of Statistical Physics},
  • H. BabaM. Katori
  • Published 1 November 2017
  • Mathematics
  • Journal of Statistical Physics
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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