researcher

P. Sarnak

37 papers hereh-index 6515k citations211 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

sole author1
first author6
middle author4
last author26

Across the 37 of 37 papers where every author was matched, so the position is known.

fields

math.NT27
math-ph3
math.PR2
math.AP1
math.FA1
math.GR1

same name

P. Sarnak — 1 paper, h 4

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity

19922022

most citedThe distribution of spacings between the fractional parts of

n^{2} α

108 citations · 552 across the 31 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021★ 3 cited

Commutators in $SL_{2}$ and Markoff surfaces I

Amit Ghosh, Chen Meiri, Peter Sarnak

We show that the commutator equation over $SL_{2} (Z)$ satisfies a profinite local to global principle, while it can fail with infinitely many exceptions for $ \math…

math.PR2021★ 1 cited

Bounded cutoff window for the non-backtracking random walk on Ramanujan Graphs

Evita Nestoridi, Peter Sarnak

We prove that the non-backtracking random walk on Ramanujan graphs with large girth exhibits the fastest possible cutoff with a bounded window.

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Data

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Commutators in SL2​ and Markoff surfaces I

Bounded cutoff window for the non-backtracking random walk on Ramanujan Graphs

Commutators in $SL_{2}$ and Markoff surfaces I