Papers in Journals

1. Dubi Kelmer, On the quantum variance of matrix elements for the cat map on the 4-dimensional torus , Int. Math. Res. Not. 36, 2223--2236 (2005).


2. Dubi Kelmer, Arithmetic Quantum Unique Ergodicity for Symplectic Linear Maps of the Multidimensional Torus, to appear in Ann. of Math. (200?)


3. Dubi Kelmer, Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms, Comm. Math. Phys. 276 (2), 381--395 (2007).


4. Dubi Kelmer, Quantum Ergodicity for products of hyperbolic planes, J. Mod. Dyn. 2 (2), 287--313 (2008).


5. Lior Bary-Soroker and Dubi Kelmer, On PAC extensions and scaled Trace forms to appear in Israel J. Math.


6. Dubi Kelmer, On matrix elements for the quantized cat map modulo prime powers, Ann. Henri Poincaré 9 (8), 1479--1501 (2008).


7. Dubi Kelmer, Distribution of twisted Kloosterman sums modulo prime powers, to appear in Int. J. Num. Theory


8. Dubi Kelmer and Peter Sarnak, Strong Spectral Gaps for Compact Quotients of Products of PSL(2,R), J. Eur. Math. Soc. 11 (2), 283--313 (2009)

Preprints

1. Dubi Kelmer, Scarring for Quantum Maps with Simple Spectrum, preprint (2008).

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