Lior Silberman's Math Page

Publications

(in reverse chronological order)

	Title	Co-authors	Status	Year	Available here / Remarks
11	The geometric approach to property (T)		in preparation
10	Property (T) is recursively enumerable		in preparation
9	Interpolation bounds on Intertwining operators		in preparation		General version of the lift in [4]
8	Arithmetic quantum chaos on locally symmetric spaces	(advisor: Prof. Peter Sarnak)	Ph.D. Thesis (Princeton University)	2005	pdf ; see here for "part of the tree" argument for positive entropy.
7	Finding minimal permutation representations of finite groups	Ben Elias and Ramin Takloo-Bighash	in preparation
6	Poincaré inequalities, embeddings and wild groups	Assaf Naor	in preparation
5	Entropy bounds for Hecke eigenfunctions on division algebras	Akshay Venkatesh	submitted		pdf
4	Quantum Unique Ergodicity for Locally Symmetric Spaces	Akshay Venkatesh	to appear in GAFA		pdf ; ps ; arXiv:math.RT/407413
3	Addendum to "Random Walk in Random Groups"		GAFA 13 no. 1, 147-177	2003	(with minor corrections) pdf ; ps
2	Cosmological Density and Power Spectrum from Peculiar Velocities: Nonlinear Corrections and Principal Component Analysis	Avishai Dekel, Amiram Eldar and Idit Zehavi	ApJ 557 no. 1, 102-116	2001	arXiv:astro-ph/0101361
1	Cosmological Density and Power Spectrum from Peculiar Velocities: Principal Component Analysis and Nonlinear Effects	(advisor: Prof. Avishai Dekel)	B.Sc. Thesis (Hebrew University)	2000	ps

Arithmetic Quantum Chaos – An Introduction, given at Brandeis (11/2004), Princeton (2/2005), Columbia (12/2005).
Gromov's Random Groups have Property (T), given at Microsoft Research (3/2004).

(2002) "Expanding Graphs and Groups with Property (T)". This provides (some) motivation for Gromov's construction.
The notes: PDF [also in PS].
(2001) "Effective Versions of the Chebotarev Density Theorem" by Jeff Lagarias and Andrew Odlyzko, published in the Durham Conference Proceedings 1975.
All the statements in the paper are of the form "there exists a numerical constant c such that...". I wrote a version with the actual constant (no claim to optimality!).
The notes: PS.

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