Publication List

Papers:

--- Ground states for exponential random graphs. (with Rajinder Mavi) Submitted (2017)

--- Phase transitions in edge-weighted exponential random graphs: near degeneracy and universality. (with Ryan DeMuse and Danielle Larcomb) Submitted (2017)

--- Asymptotics for sparse exponential random graph models
. (with Lingjiong Zhu) Brazilian Journal of Probability and Statistics, 31: 394-412 (2017)

--- On the asymptotics of constrained exponential random graphs. (with Richard Kenyon) Journal of Applied Probability, 54: 165-180 (2017)


--- Phase transitions in edge-weighted exponential random graphs. Submitted (2016)

--- Asymptotic quantization of exponential random graphs. (with Alessandro Rinaldo and Sukhada Fadnavis) Annals of Applied Probability, 26: 3251-3285 (2016)
 
--- A detailed investigation into near degenerate exponential random graphs.
Journal of Statistical Physics, 164: 241-253 (2016)

--- Reciprocity in directed networks. (with Lingjiong Zhu) Physica A: Statistical Mechanics and its Applications, 447: 71-84 (2016)

--- Large deviations and exact asymptotics for constrained exponential random graphs. Electronic Communications in Probability, 20: 56, 1-14 (2015)

--- Critical phenomena in exponential random graphs. Journal of Statistical Physics, 153: 1008-1021 (2013)

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Phase transitions in exponential random graphs. (with Charles Radin) Annals of Applied Probability, 23: 2458-2471 (2013)

--- A Markov chain approach to renormalization group transformations
. Physica A: Statistical Mechanics and its Applications, 392: 1347-1354 (2013)

--- A cluster expansion approach to exponential random graph models. Journal of Statistical Mechanics: Theory and Experiment, P05004 (2012)

--- Renormalization group transformations near the critical point: some rigorous results. Journal of Mathematical Physics, 52: 113507 (2011)

--- A cluster expansion approach to renormalization group transformations. Journal of Mathematical Physics, 52: 033502 (2011)

--- Spectral properties of the renormalization group at infinite temperature. Communications in Mathematical Physics, 304: 175-186 (2011)

--- Spectral properties of the renormalization group. Dissertation, University of Arizona (2010)

--- Thermochronology and Minnesota radon Levels. Statistics Projects (2008)

--- Quantum scattering. Research Tutorial Group Project (2007)

--- Aids can raid; We can decide. (with Can Feng and Chengyu Teng) Interdisciplinary Contest in Modeling, Honorable Mention (2006)


--- Flood has a big say? No, we have! (with Cheng Chang and Qiufeng Wang) Mathematical Contest in Modeling, Honorable Mention (2005)

--- Different general algorithms for solving Poisson equation. Numerical Analysis Project (2005)

Presentations / Talks:

--- Statistical physics of exponential random graphs. Applied Mechanics Seminar, Tokyo (2017)

--- Phase transitions in (generalized) exponential random graphs. Frontiers in Mathematical Physics, Montreal (2016)

--- Asymptotics for sparse exponential random graph models. Random Graphs, Simplicial Complexes, and their Applications, Boston (2015)

--- Phase transitions in the edge-triangle exponential random graph model. Topology and Geometry of Networks and Discrete Metric Spaces, Minneapolis (2014)

--- Critical phenomena in exponential random graphs
. Probability Seminar, Ithaca (2013)

--- Understanding exponential random graph models. Colloquium, East Lansing (2012)

--- A cluster expansion approach to exponential random graph models. Dynamical Gibbs-non-Gibbs Transitions Workshop, Eindhoven (2011)

--- A Markov chain approach to renormalization group transformations. Arizona School of Analysis with Applications, Tucson (2010)

--- Spectral properties of the renormalization group. Renormalization Group and Statistical Mechanics Workshop, Vancouver (2009)

--- Absence of renormalization group pathologies near the critical temperature. Comprehensive Examination, Tucson (2008)


--- Cluster expansions and connected graph identity. Graduate Student Colloquium, Tucson (2008)

--- Spatial navigation. (with Zaneta Navratilova) Theoretical Neuroscience Journal Club, Tucson (2008)