Stochastic Sandpiles with Uniform Toppling Rule on the Line NEGP0YBA3C

URI	`m2://res/NEGP0YBA3C`
Kind	preprint
Creators	David Beck-Tiefenbach, Robin Kaiser
Date	2026-03-17
MSC	60-XX
Subjects	arxiv math.PR
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Transition Probabilities to Full Configuration	statement	lemma 3.2	arxiv
Stabilization is Well-Defined	statement	lemma 2.1	arxiv
BM1XHHRPZX	conjecture	conjecture 5.3	arxiv
Stationary Probability of Full Configuration	statement	proposition 3.2	arxiv
Monotonicity of the Average Density	conjecture	conjecture 5.1	arxiv
HR2R3R23E8	statement	theorem 1.1	arxiv
Minimum Attained by Abelian Sandpiles	conjecture	conjecture 5.2	arxiv
Recurrence Relation	statement	lemma 3.1	arxiv
Hole Probability	definition	definition 4.1	arxiv
Transition Probabilities to Vacant Configurations	statement	corollary 4.1	arxiv
Hole Recurrence Relations	statement	lemma 4.1	arxiv
Explicit Solution of the Sandpile Gambler's Ruin	statement	proposition 3.1	arxiv
Stationary Probabilities of Vacant Configurations	statement	proposition 4.2	arxiv
Sandpile Gambler's Ruin Probabilities	definition	definition 3.1	arxiv
YQNAPBND31	conjecture	conjecture 5.4	arxiv
Uniformity of the Hole	statement	proposition 4.1	arxiv