Bijections between walks inside a triangular domain and Motzkin paths of bounded amplitude
Appears in collection : Lattice Paths, Combinatorics and Interactions / Marches aléatoires, combinatoire et interactions
We present some connections between two families of walks. The first family is formed by two-dimensional walks moving in three directions, and confined within a triangle. The other family consists of Motzkin paths with bounded height, in which the horizontal steps may be forbidden at maximal height. This is a joint work with Julien Courtiel and Andrew Elvey Price.
 
     
	
                 
                 
	
                 
	
                 
	
               
	
               
	
               
	
               
	
               
	
               
	
               
	
           
                       
	
           
	
           
	
           
	
           
      
    