We study the coarsening model (zero-temperature Ising Glauber dynamics) on $\mathbb{Z}^d$ (for $d \geq 2$) with an asymmetric tie-breaking rule. This is a Markov process on the state space ${-1,+1}^{\mathbb{Z}^d}$ of “spin configurations” in which each vertex updates its spin to agree with a majority of its neighbors at the arrival times of a Poisson process. If a vertex has equally many $+1$ and $-1$ neighbors, then it updates its spin value to $+1$ with probability $q \in [0,1]$ and to $-1$ with probability $1-q$. The initial state of this Markov chain is distributed according to a product measure with probability $p$ for a spin to be $+1$.
1-12 • Moscow, Russia
13-27 • Creswick (Victoria, Australia) • “Non-equilibrium systems and special functions” program at MATRIX Institute
28-31 • Moscow, Russia • SkolTech Center for Advances Studies
A three-week program which brought together numerous leading experts in random matrices and related fields. For me personally this program has started a very exciting collaboration on probabilistic understanding of combinatorial summation identities.
I came across a very nice
source file beautifier called latexindent
which is a part
of the standard
distribution.
The script should be run on the source and it would do the stuff I usually like in source files, such as wrapping, indentation of lists and environments, and so on.
The issue with
source files is that everyone using
formats them differently, since the
processing is very forgiving.
In particular, there is lots of whitespace which can be inserted to make
source files more human readable.
The latexindent
tool would allow me to automatically standardize
the source code and not think about the various ways one can format the
source.
(Previously in some projects,
in particular in joint ones,
I have spent some time reformatting the source files
to my liking; and while latexindent
might not format everything
how I would like, it is extremely configurable, and I can live with it
because of the time it would save me.)
I’ve updated and streamlined the internal structure of my homepage which will make it much easier to manage. This is yet another attempt to better understand Jekyll and come up with a website which is easy to manage and update regularly.
In the process of the update I’ve moved over almost all content from the previous version (also build with Jekyll, but back in January 2014), and in particular created a special gallery of simulations instead of a series of posts like in the previous version (although these simulations are also displayed in posts).
The design of the homepage closely follows the style of University of Virginia, and is in line with the new Math Department website which I am also building.
From the conference website:
This special edition of the Southeast Probability Conference will focus on interacting particle systems, random graphs, stochastic growth models, and their applications in biology, ecology, and statistical physics. It is also an occasion to honor the contributions of Professor Rick Durrett on the occasion of his 65th birthday.