Here are some references related to what I talked about:

1) Our recent paper on energy current fluctuations: A.Dhar, K.Saito, A. Roy, arXiv:151200561

2) Paper on numerical tests of fluctuating hydrodynamic theory: SG Das, A Dhar, K Saito, CB Mendl, H Spohn, Physical Review E 90 (1), 012124 (2014)

3) Paper on Levy walk approach to understanding anomalous heat transport: A Dhar, K Saito, B Derrida, Physical Review E 87 (1), 010103 (2013)

4) Some papers on fluctuating hydrodynamics of anharmonic chains: H. Spohn arXiv:1505.05987, H. Spohn, Journal of Statistical Physics 154 (5), 1191-1227 (2014)

5) A review article on anomalous heat transport in low dimensional systems: A. Dhar, Advances in Physics 57 (5), 457-537 (2008)

Talk by Fabio Franchini

Title: Spontaneous ergodicity breaking in invariant matrix models

Abstract:
We reconsider the status of eigenvectors of a random matrix. Traditionally, the requirement of base invariance has lead to the conclusion that invariant models describe extended systems. We show that deviations of the eigenvalue statistics from the Wigner-Dyson universality reflects itself on the eigenvector distribution. In particular, gaps in the eigenvalue density spontaneously break the U(N) symmetry to a smaller one. Models with log-normal weight, such as the Muttalib ensemble and those emerging in Chern-Simons and ABJM theories, break the U(N) in a critical way, resulting into a multi-fractal eigenvector statistics.
These results pave the way to the exploration of localization problems using random matrices via the study of new classes of observables and potentially to novel, interdisciplinary, applications of matrix models.

- F. Franchini; "On the Spontaneous Breaking of U(N) symmetry in invariant Matrix Models"; arXiv:1412.6523.
- F. Franchini; "Toward an invariant matrix model for the Anderson Transition"; arXiv:1503.03341.
Here is the PDF of the presentation: PDF
And the link to the papers this presentation is based on: arXiv:1412.6523, arXiv:1503.03341

Talk by Timothy Halpin-Healy

KPZ timeline-

Revolution I: 1986 - 1999

Revolution II: 2000 - 2009

Renaissance: 2010 - present

KPZ Playbook

Pierre asked me to provide some references to reviews, etc...

As mentioned, there is the-
i) August 2015 special KPZ issue in the Journal of Statistical Physics (triggered, in part, by IAS-Princeton workshop on Nonequilibrium Growth & Random Matrices), edited by Herbert, which contains a KPZ nano-review by Takeuchi & myself (「in a nutshell」, if you will…)- JSP 160, 794 (2015)
emphasizing numerical & experimental aspects, as well as many mathematically-minded papers, esp. the nice summary of Spohn & Quastel-
JSP 160, 965 (2015). See too, contributions of Corwin, Schutz, & Prolhac.

ii) The inaugural review of the post-2010, mathematically-fueled 「KPZ Renaissance
in which we presently live is the work of Kriecherbauer & Krug- J. Phys. A 43, 403001 (2010).
Later- Ivan Corwin, Random Matrices: Theory Appl. 1, 1130001 (2012)

iii) For early, bedrock developments of the 1st KPZ Revolution, see:
THH & Zhang- Phys. Rep. 254, 215 (1994), &
Krug, Adv. Phys. 46, 139 (1997).

My talk page
[Challenge problems & commentary found there; slides to be posted shortly...]

Talk by Alberto Rosso

title: Random Paths and Optimization Strategies
How the disorder distribution can affect the long time statistics of directed polymers in random media?
Here we show that, in presence of power law tails, polymer's optimization strategy changes from collective to elitist. Slides of the talk
Paper:

Ground-state statistics of directed polymers with heavy-tailed disorder.

Thomas Gueudre, Pierre Le Doussal, Jean-Philippe Bouchaud, and Alberto Rosso Phys. Rev. E 91, 062110

Talk by Li-Cheng Tsai

on KPZ equation limit of interacting particle systems link to the talk and slidesand the abstract
References: KPZ equation limit for:

## Table of Contents

## Talk by Severine Atis

(01/13/16) on experiments with reaction fronts and quenched-KPZ modellink to the talkpublications related to this presentation:

- Experimental evidence of three universality classes in reaction fronts

S. Atis, A. Kumar, D. Salin, L. Talon, P. Le Doussal and K. Wiese,PRL114(2015) ArXiv link- Sawtooth pattern formation in experiments

S. Atis, S. Saha, H. Auradou, D. Salin and L. Talon,PRL110(2013) ArXiv link- Connection with percolation transition in numerics

S. Saha, S. Atis, D. Salin and L. Talon,EPL101(2013) linksome selected references:

## Talk by Guillaume Barraquand

link to the talkand the slides.References:

## Talk by Amir Dembo

title: The Atlas model, in and out of equilibriumlink to the talk and slidesand the abstractReferences:

## Talk by Abhishek Dhar

Here are some references related to what I talked about:1) Our recent paper on energy current fluctuations: A.Dhar, K.Saito, A. Roy, arXiv:151200561

2) Paper on numerical tests of fluctuating hydrodynamic theory: SG Das, A Dhar, K Saito, CB Mendl, H Spohn, Physical Review E 90 (1), 012124 (2014)

3) Paper on Levy walk approach to understanding anomalous heat transport: A Dhar, K Saito, B Derrida, Physical Review E 87 (1), 010103 (2013)

4) Some papers on fluctuating hydrodynamics of anharmonic chains: H. Spohn arXiv:1505.05987, H. Spohn, Journal of Statistical Physics 154 (5), 1191-1227 (2014)

5) A review article on anomalous heat transport in low dimensional systems: A. Dhar, Advances in Physics 57 (5), 457-537 (2008)

## Talk by Fabio Franchini

Title: Spontaneous ergodicity breaking in invariant matrix modelsAbstract:

We reconsider the status of eigenvectors of a random matrix. Traditionally, the requirement of base invariance has lead to the conclusion that invariant models describe extended systems. We show that deviations of the eigenvalue statistics from the Wigner-Dyson universality reflects itself on the eigenvector distribution. In particular, gaps in the eigenvalue density spontaneously break the U(N) symmetry to a smaller one. Models with log-normal weight, such as the Muttalib ensemble and those emerging in Chern-Simons and ABJM theories, break the U(N) in a critical way, resulting into a multi-fractal eigenvector statistics.

These results pave the way to the exploration of localization problems using random matrices via the study of new classes of observables and potentially to novel, interdisciplinary, applications of matrix models.

- F. Franchini; "On the Spontaneous Breaking of U(N) symmetry in invariant Matrix Models"; arXiv:1412.6523.

- F. Franchini; "Toward an invariant matrix model for the Anderson Transition"; arXiv:1503.03341.

Here is the PDF of the presentation: PDF

And the link to the papers this presentation is based on: arXiv:1412.6523, arXiv:1503.03341

## Talk by Timothy Halpin-Healy

KPZ timeline-Pierre asked me to provide some references to reviews, etc...

As mentioned, there is the-

i) August 2015 special KPZ issue in the Journal of Statistical Physics (triggered, in part, by IAS-Princeton workshop on Nonequilibrium Growth & Random Matrices), edited by Herbert, which contains a KPZ nano-review by Takeuchi & myself (「in a nutshell」, if you will…)- JSP 160, 794 (2015)

emphasizing numerical & experimental aspects, as well as many mathematically-minded papers, esp. the nice summary of Spohn & Quastel-

JSP 160, 965 (2015). See too, contributions of Corwin, Schutz, & Prolhac.

ii) The inaugural review of the post-2010, mathematically-fueled 「KPZ Renaissance

in which we presently live is the work of Kriecherbauer & Krug- J. Phys. A 43, 403001 (2010).

Later- Ivan Corwin, Random Matrices: Theory Appl. 1, 1130001 (2012)

iii) For early, bedrock developments of the 1st KPZ Revolution, see:

THH & Zhang- Phys. Rep. 254, 215 (1994), &

Krug, Adv. Phys. 46, 139 (1997).

My talk page

[Challenge problems & commentary found there; slides to be posted shortly...]

## Talk by Alberto Rosso

title: Random Paths and Optimization StrategiesHow the disorder distribution can affect the long time statistics of directed polymers in random media?

Here we show that, in presence of power law tails, polymer's optimization strategy changes from collective to elitist.

Slides of the talk

Paper:

## Talk by Li-Cheng Tsai

on KPZ equation limit of interacting particle systemslink to the talk and slidesand the abstractReferences: KPZ equation limit for: