18 citations · 64 across the 12 of their papers we have counts for
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math.AP2014★ 1 cited
Superscars in the Seba billiard
Henrik Ueberschaer, Par Kurlberg
We consider the Laplacian with a delta potential (a "point scatterer") on an irrational torus, where the square of the side ratio is diophantine. The eigenfunctions fall into two c…
math-ph2014★ 7 cited
Non-universality of the Nazarov-Sodin constant
Par Kurlberg, Igor Wigman
We prove that the Nazarov-Sodin constant, which up to a natural scaling gives the leading order growth for the expected number of nodal components of a random Gaussian field, genui…
math.NT2014
On the Fixed Points of the Map x -> x^x Modulo a Prime
Pär Kurlberg, Florian Luca, Igor Shparlinski
In this paper, we show that for almost all primes p there is an integer solution x in [2,p-1] to the congruence x^x == x mod p. The solutions can be interpretated as fixed points o…