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Random Unitary Representations of Surface Groups I: Asymptotic expansions (2021)
Journal Article
Magee, M. (2022). Random Unitary Representations of Surface Groups I: Asymptotic expansions. Communications in Mathematical Physics, 391(1), 119-171. https://doi.org/10.1007/s00220-021-04295-5

In this paper, we study random representations of fundamental groups of surfaces into special unitary groups. The random model we use is based on a symplectic form on moduli space due to Atiyah, Bott and Goldman. Let Σg denote a topological surface o... Read More about Random Unitary Representations of Surface Groups I: Asymptotic expansions.

Local geometry of the rough-smooth interface in the two-periodic Aztec diamond (2021)
Journal Article
Beffara, V., Chhita, S., & Johansson, K. (2022). Local geometry of the rough-smooth interface in the two-periodic Aztec diamond. Annals of Applied Probability, 32(2), 974-1017. https://doi.org/10.1214/21-aap1701

Random tilings of the two-periodic Aztec diamond contain three macroscopic regions: frozen, where the tilings are deterministic; rough, where the correlations between dominoes decay polynomially; smooth, where the correlations between dominoes decay... Read More about Local geometry of the rough-smooth interface in the two-periodic Aztec diamond.

Accelerating Convergence of Replica Exchange Stochastic Gradient MCMC via Variance Reduction (2021)
Presentation / Conference Contribution
Deng, W., Feng, Q., Karagiannis, G., Lin, G., & Liang, F. (2021, December). Accelerating Convergence of Replica Exchange Stochastic Gradient MCMC via Variance Reduction. Paper presented at International Conference on Learning Representations (ICLR'21), Virtual Event

Replica exchange stochastic gradient Langevin dynamics (reSGLD) has shown promise in accelerating the convergence in non-convex learning; however, an excessively large correction for avoiding biases from noisy energy estimators has limited the potent... Read More about Accelerating Convergence of Replica Exchange Stochastic Gradient MCMC via Variance Reduction.

Reflecting random walks in curvilinear wedges (2021)
Book Chapter
Menshikov, M. V., Mijatović, A., & Wade, A. R. (2021). Reflecting random walks in curvilinear wedges. In M. Vares, R. Fernández, L. Fontes, & C. Newman (Eds.), In and out of equilibrium 3: celebrating Vladas Sidoarvicius (637-675). Springer Verlag. https://doi.org/10.1007/978-3-030-60754-8_26

We study a random walk (Markov chain) in an unbounded planar domain bounded by two curves of the form x2=a+xβ+1 and x2=−a−xβ−1 , with x1 ≥ 0. In the interior of the domain, the random walk has zero drift and a given increment covariance matrix. From... Read More about Reflecting random walks in curvilinear wedges.

A binuclear chloride bridged Cu(II) and a mononuclear Ni(II) complex: Synthesis, crystal structure, photo catalytic and biological studies (2021)
Journal Article
Jana, K., Maity, R., Puschmann, H., Mitra, A., Ghosh, R., Debnath, S. C., Shukla, A., Mahanta, A. K., Maity, T., & Samanta, B. C. (2021). A binuclear chloride bridged Cu(II) and a mononuclear Ni(II) complex: Synthesis, crystal structure, photo catalytic and biological studies. Inorganica Chimica Acta, 515, Article 120067. https://doi.org/10.1016/j.ica.2020.120067

Critical Gaussian multiplicative chaos: a review (2021)
Journal Article
Powell, E. (2021). Critical Gaussian multiplicative chaos: a review. Markov processes and related fields, 27(4), 557-606

This review-style article presents an overview of recent progress in constructing and studying critical Gaussian multiplicative chaos. A proof that the critical measure in any dimension can be obtained as a limit of subcritical measures is given.