Following similar analysis to that in Lacoin (Probab Theory Relat Fields 159: 777–808, 2014), we can show that the quenched critical point for self-avoiding walk on random conductors on (Formula presented.) is almost surely a constant, which does not depend on the location of the reference point. We provide upper and lower bounds which are valid for all (Formula presented.).
|Number of pages||11|
|Journal||Journal of Statistical Physics|
|State||Published - 1 May 2016|
- Critical point
- Disordered systems
- Random medium
- Self-avoiding walk