Positive temperature versions of two theorems on first-passage percolation

Sasha Sodin

doi:10.1007/978-3-319-09477-9_30

Positive temperature versions of two theorems on first-passage percolation

Sasha Sodin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The estimates on the fluctuations of first-passsage percolation due to Talagrand (a tail bound) and Benjamini–Kalai–Schramm (a sublinear variance bound) are transcribed into the positive-temperature setting of random Schröedinger operators.

Original language	English
Pages (from-to)	441-453
Number of pages	13
Journal	Lecture Notes in Mathematics
Volume	2116
DOIs	https://doi.org/10.1007/978-3-319-09477-9_30
State	Published - 2014
Externally published	Yes

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© Springer International Publishing Switzerland 2014.

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10.1007/978-3-319-09477-9_30

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abstract = "The estimates on the fluctuations of first-passsage percolation due to Talagrand (a tail bound) and Benjamini–Kalai–Schramm (a sublinear variance bound) are transcribed into the positive-temperature setting of random Schr{\"o}edinger operators.",

author = "Sasha Sodin",

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doi = "10.1007/978-3-319-09477-9\_30",

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Positive temperature versions of two theorems on first-passage percolation

Abstract

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