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The sustainability probability for the critical Derrida–Retaux model

The sustainability probability for the critical Derrida–Retaux model

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_03931145v1

The sustainability probability for the critical Derrida–Retaux model

About this item

Full title

The sustainability probability for the critical Derrida–Retaux model

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

Journal title

Probability theory and related fields, 2022-02, Vol.182 (1-2), p.641-684

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

More information

Scope and Contents

Contents

We are interested in the recursive model
(
Y
n
,
n

0
)
studied by Collet et al. (Commun Math Phys 94:353–370, 1984) and by Derrida and Retaux (J Stat Phys 156:268–290, 2014). We prove that at criticality, the probability
P
(
Y
n
>
0
)
behaves like
n
-
2
+
o
(
1
)
as
...

Alternative Titles

Full title

The sustainability probability for the critical Derrida–Retaux model

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_hal_primary_oai_HAL_hal_03931145v1

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_03931145v1

Other Identifiers

ISSN

0178-8051

E-ISSN

1432-2064

DOI

10.1007/s00440-021-01091-z

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