Bauerschmidt, R., Brydges, D.C., Slade, G.: Introduction to a renormalisation group method, volume 2242. Springer Nature, (2019)

Bailleul, I., Dang, N.V., Ferdinand, L., Tô, T.D.: \(\phi ^4_3\) measures on compact Riemannian \(3 \)-manifolds, (2023). arXiv preprint arXiv:2304.10185,

Beffara, V.: The dimension of the SLE curves. The Annals of Probability, pages 1421–1452, (2008)

Barashkov, N., Gubinelli, M.: The \(\phi _3^4\) measure via Girsanov’s theorem. Electron. J. Probab. 26, 1–29 (2021)

Article  Google Scholar 

Benoist, S., Hongler, C.: The scaling limit of critical ising interfaces is cle_3. (2019)

Benjamini, I., Kalai, G., Schramm, O.: Noise sensitivity of Boolean functions and applications to percolation. Publications Mathématiques de l’Institut des Hautes Études Scientifiques 90, 5–43 (1999)

Article  MathSciNet  Google Scholar 

Belavin, A.A., Polyakov, A.M., Zamolodchikov, A.B.: Infinite conformal symmetry in two-dimensional quantum field theory. Nucl. Phys. B 241(2), 333–380 (1984)

Article  ADS  MathSciNet  Google Scholar 

Bauerschmidt, R., Webb, C.: The Coleman correspondence at the free fermion point

Chandra, A., Chevyrev, I., Hairer, M., Shen, H.: Langevin dynamic for the 2d Yang-Mills measure. Publications mathématiques de l’IHÉS 136(1), 1–147 (2022)

MathSciNet  Google Scholar 

Chelkak, D., Duminil-Copin, H., Hongler, C.: Crossing probabilities in topological rectangles for the critical planar FK-ising model. Electron. J. Probab. 21(5), 1–28 (2016)

MathSciNet  Google Scholar 

Camia, F., Garban, C., Newman, C.M.: Planar ising magnetization field I. Uniqueness of the critical scaling limit. The Annals of Probability, pages 528–571, (2015)

Camia, F., Garban, C., Newman, C.M.: Planar Ising magnetization field II. Properties of the critical and near-critical scaling limits. (2016)

Chevyrev, I.: Yang-Mills measure on the two-dimensional torus as a random distribution. Commun. Math. Phys. 372(3), 1027–1058 (2019)

Article  ADS  MathSciNet  Google Scholar 

Chelkak, D., Hongler, C., Izyurov, K.: Conformal invariance of spin correlations in the planar ising model. Annals of mathematics, pages 1087–1138, (2015)

Chelkak, D., Hongler, C., Izyurov, K.: Correlations of primary fields in the critical ising model, (2021). arXiv:2103.10263 arXiv preprint

Chandra, A., Hairer, M., Shen, H.: The dynamical sine-Gordon model in the full subcritical regime, (2018). arXiv preprint arXiv:1808.02594

Chelkak, D., Izyurov, K., Mahfouf, R.: Universality of spin correlations in the ising model on isoradial graphs. Ann. Probab. 51(3), 840–898 (2023)

Article  MathSciNet  Google Scholar 

Camia, F., Jiang, J., Newman, C.M.: Exponential decay for the near-critical scaling limit of the planar ising model. Commun. Pure Appl. Math. 73(7), 1371–1405 (2020)

Article  MathSciNet  Google Scholar 

Camia, F., Newman, C.M.: Two-dimensional critical percolation: the full scaling limit. Commun. Math. Phys. 268(1), 1–38 (2006)

Article  ADS  MathSciNet  Google Scholar 

Chelkak, D., Smirnov, S.: Universality in the 2D ising model and conformal invariance of fermionic observables. Invent. Math. 189, 515–580 (2012)

Article  ADS  MathSciNet  Google Scholar 

Chelkak, D., Wan, Y.: On the convergence of massive loop-erased random walks to massive sle (2) curves. (2021)

Duminil-Copin, H., Garban, C., Pete, G.: The near-critical planar FK-ising model. Commun. Math. Phys. 326, 1–35 (2014)

Article  ADS  MathSciNet  Google Scholar 

Duminil-Copin, H., Hongler, C., Nolin, P.: Connection probabilities and RSW-type bounds for the two-dimensional fk ising model. Commun. Pure Appl. Math. 64(9), 1165–1198 (2011)

Article  MathSciNet  Google Scholar 

Duminil-Copin, H., Manolescu, I.: Planar random-cluster model: scaling relations. In Forum of Mathematics, Pi, volume 10, page e23. Cambridge University Press, (2022)

Dimock, J.: The Kosterlitz-Thouless phase in a hierarchical model. J. Phys. A: Math. Gen. 23(7), 1207 (1990)

Article  ADS  MathSciNet  Google Scholar 

Freeman, J., Dyson: Existence of a phase-transition in a one-dimensional ising ferromagnet. Commun. Math. Phys. 12(2), 91–107 (1969)

Feldman, J.: The \(\lambda \)\(\phi \) 3 4 field theory in a finite volume. Commun. Math. Phys. 37, 93–120 (1974)

Article  ADS  MathSciNet  Google Scholar 

Furlan, M., Mourrat, J.-C.: A tightness criterion for random fields, with application to the ising model. (2017)

Gallavotti, G.: Renormalization Group and divergences. J. Stat. Phys. 157, 743–754 (2014)

Article  ADS  MathSciNet  Google Scholar 

Gurel-Gurevich, O., Peres, Y., Zeitouni, O.: Localization for controlled random walks and martingales, (2014)

Gabriel, F., Hongler, C., Spadaro, F.: Lattice Models and Conformal Field Theory. (2024)

Gubinelli, M., Imkeller, P., Perkowski, N.: Paracontrolled distributions and singular PDEs. In Forum of Mathematics, Pi, volume 3, page e6. Cambridge University Press, (2015)

Glimm, J., Jaffe, A.: Positivity of the \(\varphi \) Hamiltonian. Fortschr. Phys. 21(7), 327–376 (1973)

Article  MathSciNet  Google Scholar 

GawÅedzki, K., Kupiainen, A.: Non-Gaussian fixed points of the block spin transformation. Hierarchical model approximation. Commun. Math. Phys. 89, 191–220 (1983)

Article  ADS  MathSciNet  Google Scholar 

Gawedzki, K., Kupiainen, A.: Continuum limit of the hierarchical \((n)\) non-linear \(\sigma \)-model. Commun. Math. Phys. 106, 533–550 (1986)

Article  ADS  Google Scholar 

Glimm, J.: Boson fields with the: \(\phi \)4: interaction in three dimensions. Commun. Math. Phys. 10(1), 1–47 (1968)

Article  ADS  MathSciNet  Google Scholar 

Gubinelli, M., Meyer, S.-J.: The FBSDE approach to sine-Gordon up to \(6 \pi \), (2024). arXiv preprint arXiv:2401.13648

Garban, C., Pete, G., Schramm, O.: Pivotal, cluster, and interface measures for critical planar percolation. J. Am. Math. Soc. 26(4), 939–1024 (2013)

Article  MathSciNet  Google Scholar 

Garban, C., Pete, G., Schramm, O.: The scaling limits of near-critical and dynamical percolation. J. Eur. Math. Soc. 20(5), 1195–1268 (2018)

Article  MathSciNet  Google Scholar 

Garban, C., Steif, J.E.: Noise sensitivity of Boolean functions and percolation, (2012)

Hairer, M.: A theory of regularity structures. Invent. Math. 198(2), 269–504 (2014)

Article  ADS  MathSciNet  Google Scholar 

Hairer, M., Kusuoka, S., Nagoji, H.: Singularity of solutions to singular SPDEs, (2024). arXiv preprint arXiv:2409.10037

Hongler, C., Kytölä, K., Viklund, F.: Conformal field theory at the lattice level: discrete complex analysis and virasoro structure. Commun. Math. Phys. 395(1), 1–58 (2022)

Article  ADS  MathSciNet  Google Scholar 

Hongler, C., Smirnov, S.: The energy density in the planar Ising model. Acta Math. 211, 191–225 (2013)

Article  MathSciNet  Google Scholar 

Hairer, M., Shen, H.: The dynamical sine-Gordon model. Commun. Math. Phys. 341, 933–989 (2016)

Article  ADS  MathSciNet  Google Scholar 

Hairer, M., Singh, H.: Regularity structures on manifolds and vector bundles, (2023). arXiv preprint arXiv:2308.05049

Holden, N., Sun, X.: Convergence of uniform triangulations under the cardy embedding. Acta Math. 230(1), 93–203 (2023)

Article  MathSciNet  Google Scholar 

Hutchcroft, T.: The critical two-point function for long-range percolation on the hierarchical lattice. Ann. Appl. Probab. 34(1B), 986–1002 (2024)

Article  MathSciNet  Google Scholar 

Junnila, J., Saksman, E., Webb, C.: Imaginary multiplicative chaos. Ann. Appl. Probab. 30(5), 2099–2164 (2020)

Article  MathSciNet  Google Scholar 

Kang, N.-G., Makarov, N.: Gaussian free field and conformal field theory, (2011). arXiv:1101.1024 arXiv preprint

Köhler, L., Schindler, Lehmkuehler, M.: The fuzzy potts model in the plane: Scaling limits and arm exponents, (2022). arXiv:2209.12529 arXiv preprint

Kupiainen, A.: Renormalization group and stochastic PDEs. In Annales Henri Poincaré, volume 17, pp. 497–535. Springer, (2016)

Lévy, T.: Yang-Mills measure on compact surfaces, American Mathematical Soc (2003)

Lacoin, H., Rhodes, R., Vargas, V.: Complex Gaussian multiplicative chaos. Commun. Math. Phys. 337, 569–632 (2015)

Article  ADS  MathSciNet  Google Scholar 

Lacoin, H., Rhodes, R., Vargas, V.: A probabilistic approach of ultraviolet renormalization in the boundary sine-gordon model. Probab. Theory Relat. Fields 185(1), 1–40 (2023)

Article  MathSciNet  Google Scholar 

Makarov, N., Smirnov, S.: Off-critical lattice models and massive sles. In XVIth International Congress On Mathematical Physics: (With DVD-ROM), pages 362–371. World Scientific, (2010)

Miller, J., Sheffield, S., Werner, W.: CLE percolations. In Forum of Mathematics, Pi, volume 5, page e4. Cambridge University Press, (2017)

Nienhuis, B.: Critical correlation functions of the potts model. Physica A 251(1–2), 104–114 (1998)

Article  ADS  MathSciNet