# Theory of Complex Systems Department

##
Marian Smoluchowski Institute of Physics

Jagiellonian University

# Dr Piotr Warchoł

## Contact

You can now contact me through LinkedIn.

## General information

I was a research assistant at the Theory of Complex Systems Department until July 2019 and here at the Marian Smoluchowski Institute of Physics I also did my PhD (in 2014).
During my academic career I have additionally worked at the Institut de Physique Théorique in Saclay (France) and in the Nuclear Theory Group of the Stony Brook University (USA).
Moreover, for two years I had a pleasure of teaching a Machine Learning course at the Department and of being the co-founder and long-time coordinator of the Complexity Garage.

To read about my SONATA grant project entitled "Random Matrices and Information Measures" and funded by the Polish National Science Centre, go here.

For my publications see below or go to Google Scholar.

## Papers

**Dynamical Isometry is Achieved in Residual Networks in a Universal Way for any Activation Function**

W. Tarnowski, P. Warchoł, S. Jastrzębski, J. Tabor, M. A. Nowak,*accepted to AISTATS 2019*, [arXiv:1809.08848].**Full Dysonian dynamics of the complex Ginibre ensemble**

J. Grela, P. Warchoł,*JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL*, 51, 425203, [arXiv:1804.09740].**Buses of Cuernavaca - an agent-based model for universal random matrix behavior minimizing mutual information**

P. Warchoł,*JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL*, 51, 265101, [arXiv:1709.10104].**Ornstein-Uhlenbeck diffusion of hermitian and non-hermitian matrices - unexpected links**

J-P. Blaizot, J. Grela, M. A. Nowak, W. Tarnowski, P. Warchoł,*JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT*, (2016) 054037, [arXiv:1512.06599].-
**Hydrodynamical Description of the QCD Dirac Spectrum at Finite Chemical Potential**

Y. Liu, P. Warchol, I. Zahed,*PHYSICAL REVIEV D*, 92, 114020, [arXiv:1507.05599]. -
**Hydrodynamics of the Dirac Spectrum**

Y. Liu, P. Warchol, I. Zahed,*PHYSICS LETTERS B*, 753, 303, [arXiv:1506.08787]. -
**Hydrodynamics of the Polyakov Line in SU(Nc) Yang-Mills**

Y. Liu, P. Warchol, I. Zahed,*PHYSICS LETTERS B*, 753, 65, [arXiv:1505.02107]. -
**A prototype of a 3D bioprinter**

J. Mielczarek, G. Gazdowicz, J. Kramarz, P. Łątka, M. Krzykawski, A. Miroszewski, P. Pieczarko, R. Szczelina, P. Warchoł, S. Wróbel,*SOLID STATE PHENOMENA*, 237, 221. -
**Unveiling the significance of eigenvectors in diffusing non-hermitian matrices by identifying the underlying Burgers dynamics**

Z. Burda, J. Grela, MA Nowak, W. Tarnowski, P. Warchoł,*NUCLEAR PHYSICS B*, 897, 421, [arXiv:1503.06846]. **Universal spectral shocks in random matrix theory - lessons for QCD**

*ACTA PHYSICS POLONICA B*, 46, 1785, J-P. Blaizot, J. Grela, M. A. Nowak, P. Warchoł,**Diffusion in the space of complex Hermitian matrices - microscopic properties of the averaged characteristic polynomial and the averaged inverse characteristic polynomial**

*ACTA PHYSICS POLONICA B*, 46, 1801, J-P. Blaizot, J. Grela, M. A. Nowak, P. Warchoł,**Dysonian dynamics of the Ginibre ensemble**

Z. Burda, J. Grela, M. A. Nowak, W. Tarnowski, P. Warchoł,*PHYSICAL REVIEW LETTERS*, 113, 104102, [arXiv:1403.7738].**Universal shocks in the Wishart random matrix ensemble. II. Nontrivial initial conditions**

J-P. Blaizot, M. A. Nowak, P. Warchoł,*PHYSICAL REVIEW E*, 89, 042130, [arXiv:1306.4014].**Burgers-like equation for spontaneous breakdown of the chiral symmetry in QCD**

J.-P. Blaizot, M. A. Nowak, P. Warchoł,*PHYSICS LETTERS B*, 06, 022, [arXiv:1303.2357].**Universal shocks in the Wishart random-matrix ensemble**

J.-P. Blaizot, M. A. Nowak, P. Warchoł,*PHYSICAL REVIEW E*, 87, 052134, [arXiv:1211.0029].

## Theses

- PhD (Jagiellonian University, 2014, supervised by prof. Maciej. A. Nowak):
**Dynamic properties of random matrices - theory and applications**. - M.Sc. (Jagiellonian University, 2010, supervised by prof. Maciej. A. Nowak):
**Dynamics in Random Matrix Theory - toy model with spectral phase transition.**