Alex Gamburd

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20012026

most citedOn the averages of characteristic polynomials from classical groups

84 citations · 187 across the 10 of their papers we have counts for

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math.GR2011

A Spectral Gap Theorem in $S U (d)$

Jean Bourgain, Alex Gamburd

We establish the spectral gap property for dense subgroups of $S U (d)$ ( $d \geq 2$ ), generated by finitely many elements with algebraic entries; this result was announced in [BG3]. T…

math.GR2009★ 1 cited

Strong uniform expansion in $SL (2, p)$

Emmanuel Breuillard, Alex Gamburd

We show that there is an infinite set of primes $P$ of density one, such that the family of \textit{all} Cayley graphs of $SL (2, p)$ %, $p \in P$ , is a fa…

A Spectral Gap Theorem in SU(d)

Strong uniform expansion in SL(2,p)

A Spectral Gap Theorem in $S U (d)$

Strong uniform expansion in $SL (2, p)$