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Homepage update

[2017/05/19]

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.

More technical details »

The iconic Duke Chapel

SouthEastern Probability Conference at Duke University

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.

More photos »

A Friday afternoon hike

Workshop "Qualitative Methods in KPZ Universality" at CIRM

From the workshop website:

Universality of Kardar-Parisi-Zhang (KPZ) scalings is one the most active areas in statistical mechanics and mathematical physics in the last 10 years.

More details and photos »

Region where one sees the GUE statistics

GUE corners limit of q-distributed lozenge tilings

[2017/03/21]

We study asymptotics of $q$-distributed random lozenge tilings of sawtooth domains (equivalently, of random interlacing integer arrays with fixed top row). Under the distribution we consider each tiling is weighted proportionally to $q^{\mathsf{vol}}$, where $\mathsf{vol}$ is the volume under the corresponding 3D stepped surface.

Full abstract »

Limit shape and fluctuations in the inhomogeneous exponential jump model

Inhomogeneous exponential jump model

[2017/03/09]

We introduce and study the inhomogeneous exponential jump model — an integrable stochastic interacting particle system on the continuous half line evolving in continuous time. An important feature of the system is the presence of arbitrary spatial inhomogeneity on the half line which does not break the integrability. We completely characterize the macroscopic limit shape and asymptotic fluctuations of the height function (= integrated current) in the model.

Full abstract »

Seminar on Stochastic Processes 2017

The Seminar on Stochastic Processes (SSP) in 2017 was held from Wednesday, March 8, through Saturday, March 11. It was hosted by the University of Virginia. Conference website (opens in new tab).

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Mont Puget at Luminy

2017 travel

January

23-25 • Cleveland • Case Western Reserve University

All 2017 travel »