I am a professor of economics
and mathematics at Caltech. I am interested in probability,
dynamics and group theory, and in their applications
to topics in microeconomic theory,
including information, risk
and uncertainty, and social choice. I am a member of the
Caltech CSIS
interdisciplinary research group.

I got my B.Sc. in computer science and physics
from Tel Aviv University, where I participated in the
search for extrasolar planets with Tsevi
Mazeh.
In 2013 I received my Ph.D. in mathematics from the Weizmann
Institute, advised
by Elchanan
Mossel. From 2013 until 2015 I was a Schramm postdoctoral
fellow at the MIT math department / Microsoft
Research, where I previously was an intern of
Adam Kalai. I have been at Caltech since 2015.

Email me at omertamuz@gmail.com, or visit me in
Baxter Hall, room
213.

#### Support

I am (or have been) supported by a Sloan research fellowship in mathematics,
an NSF CAREER award (

DMS-1944153), a
BSF award, and a Simons foundation award.

#### Working papers

“

The Power of Two in Token Systems” with
Itai Ashlagi and Süleyman Kerimov

“

Decomposable stochastic choice” with
Fedor Sandomirskiy

“

Asymptotic Rényi entropies of random walks on groups” with
Kimberly Golubeva and Minghao Pan

“On the origin of the Boltzmann distribution” with
Fedor Sandomirskiy

“Learning through imitation: An experiment” with
Marina Agranov, Gabriel Lopez-Moctezuma and Philipp Strack

“

Private private information” with
Kevin He and Fedor Sandomirskiy, presented at EC22

“Taxes and market power: A network approach” with
Andrea Galeotti, Benjamin Golub, Sanjeev Goyal and Eduard Talamàs

“

Homomorphisms to ℝ of automorphism groups of zero entropy shifts”

“

Monotone homomorphisms on convolution semigroups” with Tobias Fritz and
Xiaosheng Mu

#### Forthcoming

“

Information cascades and social learning” with
Sushil Bikhchandani, David Hirshleifer and Ivo Welch,

**Journal
of Economic Literature**
“

Monotone additive statistics” with
Xiaosheng Mu, Luciano Pomatto and Philipp Strack,

**Econometrica** presented at
EC22

“The hazards and benefits of condescension in social learning” with
Itai Arieli, Yakov Babichenko, Stephan Mülller and Farzad
Pourbabaee,

**Theoretical Economics**
“

Background risk and small-stakes risk aversion” with
Xiaosheng Mu, Luciano Pomatto and Philipp Strack,

**AER: Insights**
#### 2024

“

On the spectrum of asymptotic entropies of random walks”
with Tianyi Zheng,

**Groups, Geometry, and Dynamics**
“

A quantitative Neumann lemma for finitely generated groups” with
Elia Gorokhovsky and Nicolás Matte Bon,

**Israel Journal of
Mathematics**
“

Learning in repeated interactions on
networks” with Wanying Huang and Philipp Strack,

**Econometrica**, presented at EC22

#### 2023

“

The cost of information: The case of constant marginal costs”
with Luciano Pomatto and Philipp Strack,

**American Economic Review**
#### 2022

“

Characteristic measures of symbolic
dynamical systems” with Joshua
Frisch,

**Ergodic Theory and Dynamical Systems**
#### 2021

“

Additive conjugacy and the Bohr compactification of
orthogonal representations” with Zachary Chase and Wade
Hann-Caruthers,

**Mathematische Annalen**
“

Feasible joint posterior
beliefs” with Itai Arieli, Yakov Babichenko and Fedor
Sandomirskiy,

**Journal of
Political Economy**, recipient
of the

EC20
best paper award
“

Equitable voting rules”
with Laurent Bartholdi, Wade Hann-Caruthers, Maya Josyula and
Leeat Yariv,

**Econometrica**, presented at EC19

“

From Blackwell Dominance in Large Samples to Rényi Divergences and Back Again” with
Xiaosheng Mu, Luciano Pomatto and Philipp Strack,

**Econometrica**
“

Unfriendly colorings of graphs with finite average degree”
with Clinton T. Conley,

**Proceedings of the London Mathematical Society**
“

Rational groupthink”
with Elchanan Mossel, Matan Harel and Philipp Strack,

**Quarterly
Journal of Economics**
#### 2020

“

Repeated coordination with private
learning” with Pathikrit Basu, Kalyan Chatterjee and
Tetsuya Hoshino

**Journal of Economic Theory**
“

Stochastic dominance under independent noise”
with Luciano Pomatto and Philipp Strack,

**Journal of
Political Economy**
“

Social learning equilibria” with Elchanan
Mossel, Manuel Mueller-Frank and Allan Sly,

**Econometrica**, presented at EC18

“

Invariant random subgroups of semidirect
products” with Ian Biringer and Lewis Bowen,

**Ergodic Theory and Dynamical Systems**
#### 2019

“

Strong amenability and the infinite
conjugacy class property” with Joshua Frisch and Pooya Vahidi Ferdowsi,

**Inventiones Mathematicae **
“

Normal amenable subgroups of the automorphism
group of the full shift”
with Joshua Frisch and Tomer Schlank,

**Ergodic Theory and Dynamical Systems**
“

Thompson's group F is not strongly
amenable” with Yair Hartman, Kate Juschenko and Pooya
Vahidi Ferdowsi,

**Ergodic Theory and Dynamical Systems**
“

Choquet-Deny groups and the infinite
conjugacy class property” with Joshua Frisch, Yair Hartman,
and Pooya Vahidi Ferdowsi,

**Annals of Mathematics**
#### 2018

“

A deterministic protocol for sequential
asymptotic learning” with Yu Cheng and Wade Hann-Caruthers,

**IEEE International Symposium on Information Theory (ISIT)**
“

The speed of sequential asymptotic learning”
with Wade Hann-Caruthers and Vadim V. Martynov,

** Journal of Economic Theory**
“

Non-exploitable protocols for repeated cake
cutting” with Shai Vardi and Juba Ziani,

**AAAI
Conference on Artificial Intelligence**
“

Quasi-regular sequences and optimal schedules
for security games” with David Kempe and Leonard J. Schulman,

**Symposium on Discrete Algorithms (SODA)**
#### 2017

“

Opinion exchange dynamics”
with Elchanan Mossel,

**Probability Surveys**
“

Symbolic dynamics on amenable
groups: the entropy of generic shifts”
with Joshua Frisch,

**Ergodic Theory and Dynamical Systems**
“

Generic stationary measures and
actions” with Lewis Bowen and Yair Hartman,

** Transactions of
the American Mathematical Society**
“

Unimodularity of invariant random
subgroups” with Ian Biringer,

** Transactions of
the American Mathematical Society**
#### 2016

“

Stabilizer rigidity in irreducible group
actions” with Yair Hartman,

**Israel Journal of Mathematics**
“

Efficient bayesian learning in social networks with Gaussian
estimators” with Elchanan Mossel and Noah Olsman,

**The
Allerton Conference on Communication, Control, and
Computing**
“

Convergence, unanimity and disagreement in majority
dynamics on unimodular graphs and random graphs” with Itai
Benjamini, Siu-On Chan, Ryan O'Donnell and Li-Yang
Tan,

**Stochastic Processes and their Applications**
“

Graphical potential games”
with Yakov Babichenko,

**Journal of Economic Theory**
“

Transitive graphs uniquely determined by their
local structure” with Joshua Frisch,

**Proceedings of the American Mathematical Society**
“

Property (T) and the Furstenberg entropy of
nonsingular actions” with Lewis Bowen and Yair Hartman,

**Proceedings of the American Mathematical Society**
#### 2015

“

Strategic learning and the topology of
social networks” with Elchanan Mossel and Allan Sly,

** Econometrica**
“

Furstenberg entropy realizations for
virtually free groups and lamplighter groups” with Yair Hartman,

**Journal d'Analyse Mathématique**
“

OMG UR funny! Computer-aided humor with an application to chat”
Miaomiao Wen, Nancy Baym, Omer Tamuz, Jaime Teevan, Susan Dumais, Adam Kalai,

**The International Conference on Computational Creativity (ICCC)**
#### 2014

“

Majority dynamics and the retention of
information” with Ran Tessler,

**Israel Journal of Mathematics**
“

Scenery reconstruction on finite abelian groups”
with Hilary Finucane and Yariv Yaari,

**Stochastic Processes
and their Applications**
“

An Abramov formula for stationary spaces of discrete
groups” with Yair Hartman and Yuri Lima,

**Ergodic Theory and Dynamical Systems**
“

Asymptotic learning on bayesian social
networks” with Elchanan Mossel and Allan Sly,

**Probability Theory and Related Fields**
“

Majority dynamics and aggregation of information in
social networks” with Elchanan Mossel and Joe Neeman,

**Journal of Autonomous Agents and Multi-Agent Systems**
#### 2013

“

A machine learning framework for programming by example” Aditya Menon, Omer Tamuz, Sumit Gulwani, Butler Lampson, Adam Kalai,

**The International
Conference on Machine Learning (ICML)**
“

Making consensus tractable” with Elchanan Mossel,

**ACM Transactions on Economics and Computation**
“

A lower bound on seller revenue in single buyer monopoly auctions”,

**Operations Research Letters**
“

Testing booleanity and the uncertainty
principle” with Tom Gur,

**Chicago Journal of Theoretical Computer Science**
“

Tractable bayesian social learning on
trees” with Yashodhan Kanoria,

**IEEE Journal on Selected Areas in Communication** and

**IEEE International Symposium on Information Theory (ISIT)**
#### 2012

“

Lower bounds on revenue of
approximately optimal auctions” with Balasubramanian
Sivan and Vasilis Syrgkanis,

**The Workshop on Internet and Network Economics (WINE)**
“

Complete characterization of functions satisfying the conditions of
Arrow's theorem” with Elchanan Mossel,

**Social Choice and
Welfare**
#### 2011

“

Social learning in a changing
world” with Rafael Frongillo and Grant Schoenebeck,

**The Workshop on Internet
and Network Economics (WINE)**
“

Adaptively learning the crowd kernel” Omer Tamuz,
Ce Liu, Serge Belongie, Ohad Shamir, Adam Kalai,

**The
International Conference on Machine Learning (ICML)**
#### 2010

“

Truthful fair division” with Elchanan Mossel,

**The International Symposium on Algorithmic Game Theory (SAGT)**
“

Iterative maximum likelihood on
networks” with Elchanan Mossel,

**Advances in Applied Mathematics**, and

**The
Allerton Conference on Communication, Control, and
Computing**
“

PROMO: A method for identifying modules in protein
interaction networks” with Yaron Singer and Roded Sharan, 2006,

**European Conference on Computational Biology (ECCB)**
#### Past work in Astronomy

“The CORALIE survey for southern extra-solar planets. XVI. Discovery of a planetary system around HD 147018 and of two long period and massive planets orbiting HD 171238 and HD 204313” Damien Ségransan, Stephane Udry, Michel Mayor et al, 2010, **Astronomy & Astrophysics**

“The
CORALIE survey for southern extra-solar planets. XV. Discovery of
two eccentric planets orbiting HD 4113 and HD 156846” Omer
Tamuz, Damien Ségransan, Stephane Udry et al, 2008, **Astronomy & Astrophysics**

“A
transiting planet among 23 new near-threshold candidates from
the OGLE survey - OGLE-TR-182” Frédéric Pont, Omer Tamuz,
Andrzej Udalski et al, 2008, **Astronomy &
Astrophysics**

“OGLE-TR-211 - a new transiting inflated hot Jupiter from the OGLE survey and ESO LP666 spectroscopic follow-up program” Andrzej Udalski, Frédéric Pont, Dominique Naef et al, 2008, **Astronomy & Astrophysics**

“The HARPS search for southern extra-solar planets. IX. mu Ara, a system with four planets” Francesco Pepe, Alexandre Correia, Michel Mayor et al, 2007, **Astronomy & Astrophysics**

“Photometric follow-up of the transiting planet WASP-1b” Avi Shporer, Omer Tamuz, Shay Zucker, Tsevi Mazeh, 2007, **Monthly Notices of the Royal Astronomical Society**

“Automated analysis of eclipsing binary lightcurves. I. EBAS --- a new Eclipsing Binary Automated Solver with EBOP” Omer Tamuz, Tsevi Mazeh, Pierre North, 2006, **Monthly Notices of the Royal Astronomical Society**

“Automated analysis of eclipsing binary light curves. II. Statistical analysis of OGLE LMC eclipsing binaries” Tsevi Mazeh, Omer Tamuz, Pierre North, 2006, **Monthly Notices of the Royal Astronomical Society**

“Correcting systematic effects in a large set of photometric lightcurves” Omer Tamuz, Tsevi Mazeh, Shay Zucker, 2005, **Monthly Notices of the Royal Astronomical Society**