List of publications


[69] Near critical scaling relations for planar Bernoulli percolation without differential inequalities. with I. Manolescu and V. Tassion.
[68] Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension $d\ge 3$. with A. Rivera, P.F. Rodriguez, and H. Vanneuville.
[67] Conformal invariance of double random currents I: identification of the limit with M. Lis and W. Qian.
[66] Conformal invariance of double random currents II: tightness and properties in the discrete with M. Lis and W. Qian.
[65] Rotational invariance in critical planar lattice models with K.K. Kozlowski, D. Krachun, I. Manolescu, and M. Oulamara.
[64] Delocalization of the height function of the six-vertex model with A. Karrila, I. Manolescu, and M. Oulamara.
[63] On the six-vertex model’s free energy with K.K. Kozlowski, D. Krachun, I. Manolescu, and T. Tikhonovskaia.
[62] Planar random-cluster model: scaling relations with I. Manolescu.
[61] Long-range order for critical Book-Ising and Book-percolation with C. Garban and V. Tassion.
[60] Long-range models in 1D revisited with C. Garban and V. Tassion.
[59] Logarithmic variance for the height function of square-ice with M. Harel, B. Laslier, A. Raoufi, G. Ray.
[58] Equality of critical parameters for percolation of Gaussian free field level-sets with S. Goswami, P.F. Rodriguez and F. Severo.

[57] Existence of phase transition for percolation using the Gaussian Free Field with S. Goswami, A. Raoufi, F. Severo and A. Yadin, Duke Mathematical Journal (to appear).
[56] Upper bounds on the percolation correlation length with G.Kozma and V. Tassion, special volume in memory of Vladas Sidoravicius published in Birkhauser series "Progress in Probability" (to appear).
[55] Universality of two-dimensional critical cellular automata with B. Bollobás, R. Morris and P. Smith PLMS (to appear).
[54] Discontinuity of the phase transition for the planar random-cluster and Potts models with $q>4$ with M. Gagnebin, M. Harel, I. Manolescu and V. Tassion. Annales de l'ENS (to appear).
[53] Renormalization of crossing probabilities in the planar random-cluster model with V. Tassion. Dobrushin's issue of Moscow Math. journal (to appear).

[52] Planar random-cluster model: fractal properties of the critical phase with I. Manolescu and V. Tassion. PTRF.
[51] Marginal triviality of the scaling limits of critical 4D Ising and $\varphi_4^4$ models with M. Aizenman. Ann. Math.
[50] Macroscopic loops in the loop $O(n)$ model at Nienhuis' critical point with A. Glazman, R. Peled and Y. Spinka JEMS.
[49] A note on Schramm's locality conjecture for random-cluster models with V. Tassion Sojourns in Probability Theory and Statistical Physics - II.
[48] Subcritical phase of $d$-dimensional Poisson-Boolean percolation and its vacant set with A. Raoufi and V. Tassion AHL.
[47] On the number of maximal paths in directed last-passage percolation with H. Kesten, F. Nazarov, Y. Peres, V. Sidoravicius Ann. Probab..
[46] Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion with S. Ganguly, A. Hammond and I. Manolescu AOP.
[45] Dimerization and Néel order in different quantum spin chains through a shared loop representation with M. Aizenman and S. Warzel. Annales de l'IHP D.
[44] Internal Diffusion-Limited aggregation with uniform starting points with I. Benjamini, G. Kozma and C. Lucas, AIHP (to appear).
[43] Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature with S. Goswami and A. Raoufi, CIMP.
[42] On the double random current nesting field with M. Lis, PTRF.
[41] Exponential decay of connection probabilities for subcritical Voronoi percolation in $\mathbb R^d$ with A. Raoufi and V. Tassion, PTRF.
[40] Minimal growth harmonic functions on lamplighter groups with I. Benjamini, G. Kozma and A. Yadin, New York J Math.
[39] Emergent Planarity in two-dimensional Ising Models with finite-range Interactions with M. Aizenman, V. Tassion and S. Warzel, Inventiones.
[38] A new computation of the critical point for the planar random-cluster model with $q\ge1$ with A. Raoufi and V. Tassion, Ann. IHP.
[37] Higher order corrections for anisotropic bootstrap percolation with A. C. D. van Enter and T. Hulshof, PTRF .
[36] The box-crossing property for critical two-dimensional oriented percolation with V. Tassion and A. Teixeira, PTRF.
[35] Brochette percolation with M. Hilario, G. Kozma and V. Sidoravicius, Israel J. Math.
[34] Sharp phase transition for the random-cluster and Potts models via decision trees with A. Raoufi and V. Tassion Ann. Math. (2019).
[33] Universality for the random-cluster model on isoradial graphs with J.-H. Li and I. Manolescu. EJP (2018).
[32] The sharp threshold for the Duarte model with B. Bollobás, R. Morris and P. Smith, Ann. Prob. (2017).
[31] Exponential decay of loop lengths in the loop $ O (n) $ model with large $ n$ with R. Peled, W. Samotij, Y. Spinka, CMP (2017).
[30] Continuity of the phase transition for planar random-cluster and Potts models with $1\le q\le 4$ with V. Sidoravicius and V. Tassion, CMP (2017).
[29] Conformal invariance of crossing probabilities for the Ising model with free boundary conditions with S. Benoist and C. Hongler, Ann. IHP (2016).
[28] A new proof of the sharpness of the phase transition for Bernoulli percolation on $\mathbb Z^d$ with V. Tassion, Ens. Math. (2016).
[27] A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model with V. Tassion, CMP (2016).
[26] On the probability that self-avoiding walk ends at a given point with A. Glazman, A. Hammond, and I. Manolescu Ann. Prob. (2016).
[25] A quantitative Burton-Keane estimate under strong FKG condition with D. Ioffe and Y. Velenik, Ann. Prob. (2016).
[24] The phase transitions of the planar random-cluster and Potts models with $q\ge1$ are sharp with I.Manolescu, PTRF (2016).
[23] Crossing probabilities in topological rectangles for the critical planar FK-Ising model with D. Chelkak and C. Hongler, EJP (2016).
[22] Absence of infinite cluster for critical Bernoulli percolation on slabs with V. Sidoravicius and V. Tassion, CPAM (2016).
[21] Disorder, entropy and harmonic functions with I. Benjamini, G. Kozma and A. Yadin, Ann. Prob. (2015).
[20] Random currents and continuity of Ising model's spontaneous magnetization with M. Aizenman and V. Sidoravicius, CMP (2015).
[19] On the critical parameters of the $q\ge4$ random-cluster model on isoradial graphs with V. Beffara and S. Smirnov, J. Phys. A (2015).
[18] Convergence of Ising interfaces to Schramm's SLE curves with D. Chelkak, C. Hongler, A. Kemppainen and S. Smirnov, Comptes Rendus Math. (2014).
[17] The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is $1+\sqrt 2$ with N. Beaton, M. Bousquet-Mélou, J. De Gier and A. Guttmann, CMP (2014).
[16] Seven-dimensional forest fires with D. Ahlberg, G. Kozma and V. Sidoravicius, Ann. IHP (2014).
[15] The near-critical planar FK-Ising model with C. Garban and G. Pete, CMP (2014).
[14] Supercritical self-avoiding walks are space-filling with G. Kozma and A. Yadin, Ann. IHP (2014).
[13] On the Gibbs states of the noncritical Potts model on $\mathbb Z^2$ with L. Coquille, D. Ioffe and Y. Velenik, PTRF (2014).
[12] Self-avoiding walk is sub-ballistic with A. Hammond, CMP (2013).
[11] The critical temperature for the Ising model on planar doubly periodic graphs with D. Cimasoni, EJP (2013).
[10] Limit of the Wulff Crystal when approaching criticality for site percolation on the triangular lattice ECP (2013).
[9] Containing Internal Diffusion Limited Aggregation with C. Lucas, A. Yadin and A. Yehudayoff, ECP (2013).
[8] Sharp metastability threshold for an anisotropic bootstrap percolation model with A. C. D. van Enter, Ann. Prob. (2013).
[7] The connective constant of the honeycomb lattice equals $\sqrt{2+\sqrt 2}$ with S. Smirnov, Ann. Math. (2012).
[6] Divergence of the correlation length for critical planar FK percolation with $1\le q\le 4$ via parafermionic observables J. Phys. A (2012).
[5] The self-dual point of the two-dimensional random-cluster model is critical for $q\ge1$ with V. Beffara, PTRF (2012).
[4] The sharp threshold for bootstrap percolation in all dimensions with J. Balogh, B. Bollobás, and R. Morris, Trans. AMS (2012).
[3] Smirnov's fermionic observable away from criticality with V. Beffara, Ann. Prob. (2012).
[2] Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model with C. Hongler, P. Nolin, CPAM (2011).
[1] Bridge decomposition of Restriction Measures with T. Alberts, J. Stat. Phys. (2010).

[xvii] Lectures on the Ising and Potts models on the hypercubic lattice Random Graphs, Phase Transitions, and the Gaussian Free Field, PIMS-CRM Summer School in Probability.
[xvi] Parafermionic observables and their applications to planar statistical physics models Book, Ensaios Matematicos (2013).
[xv] Graphical representations of lattice spin models Book, Édition spartacus (2015).
[xiv] Critical point and duality in planar lattice models with V. Beffara, Proceedings Probab. in St. Petersburg (2016).
[xiii] Lectures on Planar percolation with a glimpse of Schramm Loewner Evolution with V. Beffara, Probab. Surveys (2013).
[xii] Conformal invariance of lattice models with S. Smirnov, Clay Summer School (2010).
[xi] Lectures on self-avoiding-walks with R. Bauerschmidt, J. Goodman, and G. Slade, Clay Summer School (2010).
[x] The Bethe ansatz for the six-vertex and XXZ models: an exposition with M. Gagnebin, M. Harel, I. Manolescu and V. Tassion, Prob. Surveys (2018).
[ix] Sharp threshold phenomena in statistical physics Proceedings of the Takagi Lecture (2017).
[viii] Sixty years of percolation Proceedings of the ICM (2018).
[vii] Order/disorder phase transitions: the example of the Potts model Proceedings of Current Developments in math (2015).
[vi] Random currents expansion of the Ising model Proceedings of the 7th European Congress of Mathematicians in Berlin (2016).
[v] RSW and Box-Crossing Property for Planar Percolation with V. Tassion, IAMP proceedings (2015).
[iv] A proof of first order phase transition for the planar random-cluster and Potts models with $q\gg1$ Proceedings of Stochastic Analysis on Large Scale Interacting Systems in RIMS kokyuroku Besssatu (2016).
[iii] Parafermionic observables and their applications IAMP bulletin (2016).
[ii] Phase transition in random-cluster and O(n)-models PhD Thesis (2011).
[i] Law of the Iterated Logarithm for the random walk on the infinite percolation cluster Master Thesis (2008).