Question

Does a relation exist between the 2d random walk and edge percolation on a 2d lattice

score 102 · Answer 1 · 2026-04-25 16:51:19

102

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Does a relation exist between the 2d random walk and edge percolation on a 2d lattice

Published on 25 Apr 2026 - 16:51

score 134 · Answer 2 · 2026-04-25 08:18:38

134

Views

Estimating the critical probabilities $\mathrm{P_{c1}}$ and $\mathrm{P_{c2}}$ mathematically for the infinite system case

Published on 25 Apr 2026 - 8:18

score 109 · Answer 3 · 2026-04-25 13:49:34

109

Views

Is this correct: Inflection points of Euler number graph in Island-Mainland transition correspond to spanning cluster site percolation threshold?

Published on 25 Apr 2026 - 13:49

score 550 · Answer 4 · 2026-04-25 13:30:11

550

Views

On bernoulli percolation, increasing events and Russo's formula

Published on 25 Apr 2026 - 13:30

score 70 · Answer 5 · 2026-04-17 13:40:13

70

Views

Good reference on solving the Smoluchowski coagulation equation with generating functions

Published on 17 Apr 2026 - 13:40

score 86 · Answer 6 · 2026-04-26 02:33:29

86

Views

How to rigorously prove this very simple fact about percolation?

Published on 26 Apr 2026 - 2:33

score 126 · Answer 7 · 2026-04-26 03:47:09

126

Views

How to make the description of my probabilistic binary lattice model more precise and succinct?

Published on 26 Apr 2026 - 3:47

score 1.4k · Answer 8 · 2026-04-29 12:44:20

1.4k

Views

Examples of graphs that are amenable and non-amenable

Published on 29 Apr 2026 - 12:44

score 186 · Answer 9 · 2026-04-25 02:04:31

186

Views

Phase transition threshold for acyclic directed graph

Published on 25 Apr 2026 - 2:04

score 56 · Answer 10 · 2026-04-26 11:32:05

56

Views

$a_{n+m+2} \leq a_m+a_n+g(n)$ with $g(n) = o(n)$. Show that $a_n \geq (n+2)\lambda-g(n)$ where $\lambda = \lim \frac{a_n}{n}$

Published on 26 Apr 2026 - 11:32

score 303 · Answer 11 · 2026-04-25 16:52:00

303

Views

Percolation Textbook Recommendation

Published on 25 Apr 2026 - 16:52

score 111 · Answer 12 · 2026-05-05 18:06:32

111

Views

Percolation related counting problem

Published on 05 May 2026 - 18:06

score 97 · Answer 13 · 2026-04-26 01:53:05

97

Views

Strict stochastic domination of "thinned out" random cluster model

Published on 26 Apr 2026 - 1:53

score 501 · Answer 14 · 2026-05-07 16:51:35

501

Views

Finding lower bound for standard deviation

Published on 07 May 2026 - 16:51

score 2.9k · Answer 15 · 2026-04-25 00:30:53

2.9k

Views

What is the average size of an island?

Published on 25 Apr 2026 - 0:30

List Question

Does a relation exist between the 2d random walk and edge percolation on a 2d lattice

Estimating the critical probabilities $\mathrm{P_{c1}}$ and $\mathrm{P_{c2}}$ mathematically for the infinite system case

Is this correct: Inflection points of Euler number graph in Island-Mainland transition correspond to spanning cluster site percolation threshold?

On bernoulli percolation, increasing events and Russo's formula

Good reference on solving the Smoluchowski coagulation equation with generating functions

How to rigorously prove this very simple fact about percolation?

How to make the description of my probabilistic binary lattice model more precise and succinct?

Examples of graphs that are amenable and non-amenable

Phase transition threshold for acyclic directed graph

$a_{n+m+2} \leq a_m+a_n+g(n)$ with $g(n) = o(n)$. Show that $a_n \geq (n+2)\lambda-g(n)$ where $\lambda = \lim \frac{a_n}{n}$

Percolation Textbook Recommendation

Percolation related counting problem

Strict stochastic domination of "thinned out" random cluster model

Finding lower bound for standard deviation

What is the average size of an island?

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