Outputs (199)

Lecture notes on the Gaussian free field (2021)
Book
Werner, W., & Powell, E. (2021). Lecture notes on the Gaussian free field. Société Mathématique de France

The Gaussian Free Field (GFF) in the continuum appears to be the natural generalisation of Brownian motion, when one replaces time by a multidimensional continuous parameter. While Brownian motion can be viewed as the most natural random real-valued... Read More about Lecture notes on the Gaussian free field.

Interference-free walks in time: temporally disjoint paths (2021)
Conference Proceeding
Klobas, N., Mertzios, G., Molter, H., Niedermeier, R., & Zschoche, P. (2021). Interference-free walks in time: temporally disjoint paths. . https://doi.org/10.24963/ijcai.2021/563

We investigate the computational complexity of finding temporally disjoint paths or walks in temporal graphs. There, the edge set changes over discrete time steps and a temporal path (resp. walk) uses edges that appear at monotonically increasing tim... Read More about Interference-free walks in time: temporally disjoint paths.

On analytic bootstrap for interface and boundary CFT (2021)
Journal Article
Dey, P., & Söderberg, A. (2021). On analytic bootstrap for interface and boundary CFT. Journal of High Energy Physics, 07, https://doi.org/10.1007/jhep07%282021%29013

Gaussian process modeling of heterogeneity and discontinuities using Voronoi tessellations (2021)
Journal Article
Pope, C. A., Gosling, J. P., Barber, S., Johnson, J. S., Yamaguchi, T., Feingold, G., & Blackwell, P. G. (2021). Gaussian process modeling of heterogeneity and discontinuities using Voronoi tessellations. Technometrics, 63(1), 53-63

Synthesis and crystal structure of N,N `-bis(4-chlorophenyl)thiourea N,N-dimethylformamide (2021)
Journal Article
Odularu, A. T., Ajibade, P. A., Oyedeji, O. O., Mbese, J. Z., & Puschmann, H. (2021). Synthesis and crystal structure of N,N `-bis(4-chlorophenyl)thiourea N,N-dimethylformamide. https://doi.org/10.1515/chem-2020-0061

Ramification filtration via deformations (2021)
Journal Article
Abrashkin, V. A. (2021). Ramification filtration via deformations. Sbornik: Mathematics, 212(2), Article 135. https://doi.org/10.1070/sm9322

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.

Irregular model sets and tame dynamics (2021)
Journal Article
Fuhrmann, G., Glasner, E., Jäger, T., & Oertel, C. (2021). Irregular model sets and tame dynamics. Transactions of the American Mathematical Society, 374(5), https://doi.org/10.1090/tran/8349

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.