Homepage of Gourab Ray

Selected publications

  • The dimer model on Riemann surfaces, II: conformal invariance and scaling limit. (with Nathanael Berestycki and Benoit Laslier). Probability and Mathematical Physics. 2024.
  • Logarithmic variance for the height function of square-ice (With Hugo Duminil-Copin, Matan Harel, Benoit Laslier and Aran Raoufi). In Commun. Math. Phys. 2022.
  • Dimers and Imaginary geometry. (with Nathanael Berestycki and Benoit Laslier). Ann. Probab. 2020.
  • A short proof of the discontinuity of phase transition in the planar random-cluster model with q>4 (with Yinon Spinka). In Commun. Math. Phys. 2020.
  • Hyperbolic and parabolic unimodular random maps (with Omer Angel, Tom Hutchcroft and Asaf Nachmias). GAFA, 2018.
  • Unimodular hyperbolic triangulations: circle packing and random walk (with Omer Angel, Tom Hutchcroft and Asaf Nachmias). In Inventiones Mathematicae. 2015.
  • Classification of half planar maps (with Omer Angel) In Ann. Probab. 2013.


    • Full list of Publications and preprints.

    Gaussian free field and related surface models


  • On the local convergence of integer-valued Lipschitz functions on regular trees (With Nathaniel Butler, Kesav Krishnan and Yinon Spinka). Preprint. 2024.
  • (1+epsilon)-moments suffice to characterise the GFF (with Nathanael Berestycki and Ellen Powell). In EJP. 2020
  • A short proof of the discontinuity of phase transition in the planar random-cluster model with q>4 (with Yinon Spinka). In Commun. Math. Phys. 2020.
  • A characterisation of the Gaussian free field (with Nathanael Berestycki and Ellen Powell). In PTRF. 2020.
  • Logarithmic variance for the height function of square-ice (With Hugo Duminil-Copin, Matan Harel, Benoit Laslier and Aran Raoufi). In Commun. Math. Phys. 2022.


    • Dimer model and scaling limits


  • Double dimers on planar hyperbolic graphs via circle packings. Preprint. 2024.
  • Uniqueness and CLT for the ground state of the disordered monomer-dimer model. (With Kesav Krishnan). Preprint. 2024.
  • The dimer model on Riemann surfaces, I : Temperleyan forests (with Nathanael Berestycki and Benoit Laslier), AIHPD, Combinatorics, Physics and their Interactions. 2024.
  • The dimer model on Riemann surfaces, II: conformal invariance and scaling limit. (with Nathanael Berestycki and Benoit Laslier). Probability and Mathematical Physics. 2024.
  • Quantitative Russo-Seymour-Welsh for random walk on random graphs and decorrelation of UST (with Tingzhou Yu). In J. Theoret. Prob. 2022
  • Dimers and Imaginary geometry. (with Nathanael Berestycki and Benoit Laslier). Ann. Probab. 2020.


    • Factors of iid and statistical physics


  • Characterizations of amenability through stochastic domination and factors of i.i.d. (with Yinon Spinka). Preprint. 2023.
  • Uniform even subgraphs and graphical representations of Ising as factors of i.i.d. (with Omer Angel and Yinon Spinka). In EJP. 2024.
  • Proper planar 3-colorings are Bernoulli. (with Yinon Spinka). In Ergod. Theory Dyn. Syst. 2021.
  • A tale of two balloons (with Omer Angel and Yinon Spinka). In PTRF. 2022
  • Finitary codings for gradient models and a new graphical representation for the six-vertex model (with Yinon Spinka). In Random Structures and Algorithms. 2021.


    • Random planar maps, trees and unimodular random graphs


  • Minimal Spanning Arborescence (with Arnab Sen). Preprint. 2024.
  • Forests on wired trees . (with Ben Xiao). In ALEA. 2022.
  • A unimodular hyperbolic souvlaki - an appendix to "A liouville hyperbolic Souvlaki" (with Gabor Pete). In EJP. 2017
  • Hyperbolic and parabolic unimodular random maps (with Omer Angel, Tom Hutchcroft and Asaf Nachmias). GAFA, 2018.
  • Classification of scaling limits of uniform infinite planar quadrangulations with a boundary. (with Erich Baur and Gregory Miermont). Ann. Probab. 2019
  • The half plane UIPT is recurrent. (with Omer Angel). In PTRF. 2018.
  • Critical exponents on Fortuin-Kasteleyn weighted planar maps (with Nathanael Berestycki and Benoit Laslier). In Commun. Math. Phys., 2017.
  • Unimodular hyperbolic triangulations: circle packing and random walk (with Omer Angel, Tom Hutchcroft and Asaf Nachmias). In Inventiones Mathematicae. 2015.
  • Random walks on stochastic hyperbolic half planar triangulations(with Omer Angel and Asaf Nachmias). In Random Structures and Algorithms. 2016.
  • Geometry and percolation on half planar triangulations. In Elec. J. Probab. 2014.
  • Large unicellular maps in high genus. In AIHP. 2014.
  • The local limit of unicellular maps in high genus. (with Omer Angel, Guillaume Chapuy and Nicolas Curien). In Elec. Comm. Prob. 2013
  • Classification of half planar maps (with Omer Angel) In Ann. Probab. 2013.


    • Detection problems in statistical physics


  • Sharp signal detection in ferromagnetic Ising models. (with Rajarshi Mukherjee and Sohom Bhattacharya). Preprint.
  • On Testing for Parameters in Ising Models. (with Rajarshi Mukherjee). In AIHP. 2020


    • Slides and videos from some talks.

  • Mini course at ICTS on Dimers and Imaginary geometry. Here is a talk with an overview of the topic.
    • Percolation today
  • Percolation today talk on Loop O(1) as factor of iid. Jointly with Yinon Spinka. Here is a talk by Omer Angel on the same topic at FPSAC 2022.
  • Talk at Northwest probability seminar on characterizing the Gaussian free field. Some slides on the same topic.
  • Some slides on the paper Logarithmic variance for the height function of square-ice .
  • Some slides on the paper A short proof of the discontinuity of phase transition in the planar random-cluster model with q>4 (slides by Yinon Spinka.)
  • Some slides on the paper Minimal Spanning Arborescence

    Graduate Students

  • Tingzhou Yu (Masters candidate). 2019-21
  • Ben Xiao (Masters Candidate). 2020-22
  • Yakov Shklarov (Masters Candidate), joint with A. Quas. 2021-23.
  • Nathaniel Butler (Masters student). 2021-
  • Swarnadeep Bagchi (PhD Candidate). 2023-


    • Postdocs.

  • Kesav Krishnan 2023-


    • Undergraduates mentored

  • Kurt MacKay (Fall 2018). Research project.
  • Ben MacVicar (Fall 2019). Research project.
  • Ben Xiao (Winter 2020). Directed studies.
  • Nathaniel Butler (Fall 2019). Directed studies.
  • Xuchen Wu. (Fall 2020). Research project.
  • Alexandra Deane (Summer, 2021). SURA summer research project.
  • Shannon Ogden (Summer 2021). Directed studies.
  • Gabriele Crudele (Summer 2023). SURA summer research project.
  • Abil Nurgaliev (Summer 2024). Summer research project.