2D growth processes: SLE and Loewner chains

M Bauer, D Bernard - Physics reports, 2006 - Elsevier
This review provides an introduction to two dimensional growth processes. Although it
covers a variety of processes such as diffusion limited aggregation, it is mostly devoted to a …

Large-N expansion for the 2D Dyson gas

A Zabrodin, P Wiegmann - Journal of Physics A: Mathematical …, 2006 - iopscience.iop.org
We discuss the 1/N expansion of the free energy of N logarithmically interacting charges in
the plane in an external field. For some particular values of the inverse temperature β, this …

An overview of unconstrained free boundary problems

A Figalli, H Shahgholian - Philosophical Transactions of …, 2015 - royalsocietypublishing.org
In this paper, we present a survey concerning unconstrained free boundary problems of type
where B 1 is the unit ball, Ω is an unknown open set, F 1 and F 2 are elliptic operators …

[图书][B] Classical and stochastic Laplacian growth

One of the most influential works in fluid dynamics at the edge of the XIXth and XXth
centuries was a series of papers, see, eg,[265], written by Henry Selby Hele-Shaw between …

Wilson loops in 𝒩= 4 SYM and fermion droplets

K Okuyama, GW Semenoff - Journal of High Energy Physics, 2006 - iopscience.iop.org
The matrix models which are conjectured to compute the circle Wilson loop and its correlator
with chiral primary operators are mapped onto normal matrix models. A fermion droplet …

The random normal matrix model: insertion of a point charge

Y Ameur, NG Kang, SM Seo - Potential Analysis, 2021 - Springer
In this article, we study microscopic properties of a two-dimensional Coulomb gas ensemble
near a conical singularity arising from insertion of a point charge in the bulk of the droplet. In …

BGWM as second constituent of complex matrix model

A Alexandrov, A Mironov… - Journal of High Energy …, 2009 - iopscience.iop.org
In [1] we explained that partition functions of various matrix models can be constructed from
that of the cubic Kontsevich model, which, therefore, becomes a basic elementary building …

Topology of quadrature domains

SY Lee, N Makarov - Journal of the American Mathematical Society, 2016 - ams.org
Topology of quadrature domains Page 1 JOURNAL OF THE AMERICAN MATHEMATICAL
SOCIETY Volume 29, Number 2, April 2016, Pages 333–369 http://dx.doi.org/10.1090/jams828 …

Rescaling Ward identities in the random normal matrix model

Y Ameur, NG Kang, N Makarov - Constructive Approximation, 2019 - Springer
Rescaling Ward Identities in the Random Normal Matrix Model | Constructive Approximation
Skip to main content SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …

Substructure dependence of jet cross sections at HERA and determination of αs

S Chekanov, M Derrick, JH Loizides, S Magill… - Nuclear Physics B, 2004 - Elsevier
Jet substructure and differential cross sections for jets produced in the photoproduction and
deep inelastic ep scattering regimes have been measured with the ZEUS detector at HERA …