The Kardar–Parisi–Zhang equation and universality class
I Corwin - Random matrices: Theory and applications, 2012 - World Scientific
Brownian motion is a continuum scaling limit for a wide class of random processes, and
there has been great success in develo** a theory for its properties (such as distribution …
there has been great success in develo** a theory for its properties (such as distribution …
Extreme value statistics of correlated random variables: a pedagogical review
Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the
minimum of a set of random variables. This is an important problem for any time-series and …
minimum of a set of random variables. This is an important problem for any time-series and …
Operator spreading in random unitary circuits
Random quantum circuits yield minimally structured models for chaotic quantum dynamics,
which are able to capture, for example, universal properties of entanglement growth. We …
which are able to capture, for example, universal properties of entanglement growth. We …
Quantum entanglement growth under random unitary dynamics
Characterizing how entanglement grows with time in a many-body system, for example, after
a quantum quench, is a key problem in nonequilibrium quantum physics. We study this …
a quantum quench, is a key problem in nonequilibrium quantum physics. We study this …
Random matrix theory and ζ (1/2+ it)
JP Keating, NC Snaith - Communications in Mathematical Physics, 2000 - Springer
We study the characteristic polynomials Z (U, θ) of matrices U in the Circular Unitary
Ensemble (CUE) of Random Matrix Theory. Exact expressions for any matrix size N are …
Ensemble (CUE) of Random Matrix Theory. Exact expressions for any matrix size N are …
Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
In this article we review classical and recent results in anomalous diffusion and provide
mechanisms useful for the study of the fundamentals of certain processes, mainly in …
mechanisms useful for the study of the fundamentals of certain processes, mainly in …
Bacterial growth: a statistical physicist's guide
Bacterial growth presents many beautiful phenomena that pose new theoretical challenges
to statistical physicists, and are also amenable to laboratory experimentation. This review …
to statistical physicists, and are also amenable to laboratory experimentation. This review …
The one-dimensional KPZ equation and its universality class
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An appetizer to modern developments on the Kardar–Parisi–Zhang universality class
KA Takeuchi - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
Abstract The Kardar–Parisi–Zhang (KPZ) universality class describes a broad range of non-
equilibrium fluctuations, including those of growing interfaces, directed polymers and …
equilibrium fluctuations, including those of growing interfaces, directed polymers and …
A KPZ cocktail-shaken, not stirred... toasting 30 years of kinetically roughened surfaces
T Halpin-Healy, KA Takeuchi - Journal of Statistical Physics, 2015 - Springer
The stochastic partial differential equation proposed nearly three decades ago by Kardar,
Parisi and Zhang (KPZ) continues to inspire, intrigue and confound its many admirers. Here …
Parisi and Zhang (KPZ) continues to inspire, intrigue and confound its many admirers. Here …