### List of publications

Preprints

[53] Bounding
the number of self-avoiding walks: Hammersley-Welsh with
polygon insertion with S. Ganguly, A. Hammond and I.
Manolescu.

[52] Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature with S. Goswami and A. Raoufi.

[51] Existence of phase transition for percolation using the Gaussian Free Field with S. Goswami, A. Raoufi, F. Severo and A. Yadin.

[50] Subcritical phase of $d$-dimensional Poisson-Boolean percolation and its vacant set with A. Raoufi and V. Tassion.

[49] Emergent Planarity in two-dimensional Ising Models with finite-range Interactions with M. Aizenman, V. Tassion and S. Warzel.

[48] On the double random current nesting field with M. Lis.

[47] On the number of maximal paths in directed last-passage percolation with H. Kesten, F. Nazarov, Y. Peres, V. Sidoravicius.

[46] Universality of two-dimensional critical cellular automata with B. Bollobás, R. Morris and P. Smith.

[45] Macroscopic loops in the loop $O(n)$ model at Nienhuis' critical point with A. Glazman, R. Peled and Y. Spinka.

[44] Internal Diffusion-Limited aggregation with uniform starting points with I. Benjamini, G. Kozma and C. Lucas.

[43] A note on Schramm's locality conjecture for random-cluster models with V. Tassion.

[42] 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.

[41] Finite volume Bootstrap Percolation with balanced threshold rules on $\mathbb{Z}^2$ with A. Holroyd.

[52] Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature with S. Goswami and A. Raoufi.

[51] Existence of phase transition for percolation using the Gaussian Free Field with S. Goswami, A. Raoufi, F. Severo and A. Yadin.

[50] Subcritical phase of $d$-dimensional Poisson-Boolean percolation and its vacant set with A. Raoufi and V. Tassion.

[49] Emergent Planarity in two-dimensional Ising Models with finite-range Interactions with M. Aizenman, V. Tassion and S. Warzel.

[48] On the double random current nesting field with M. Lis.

[47] On the number of maximal paths in directed last-passage percolation with H. Kesten, F. Nazarov, Y. Peres, V. Sidoravicius.

[46] Universality of two-dimensional critical cellular automata with B. Bollobás, R. Morris and P. Smith.

[45] Macroscopic loops in the loop $O(n)$ model at Nienhuis' critical point with A. Glazman, R. Peled and Y. Spinka.

[44] Internal Diffusion-Limited aggregation with uniform starting points with I. Benjamini, G. Kozma and C. Lucas.

[43] A note on Schramm's locality conjecture for random-cluster models with V. Tassion.

[42] 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.

[41] Finite volume Bootstrap Percolation with balanced threshold rules on $\mathbb{Z}^2$ with A. Holroyd.

In Press

[40] Brochette percolation with M. Hilario, G. Kozma and V. Sidoravicius, Israel J. Math. (to appear).

[39] A new computation of the critical point for the planar random-cluster model with $q\ge1$ with A. Raoufi and V. Tassion, Ann. IHP. (to appear).

[38] Exponential decay of connection probabilities for subcritical Voronoi percolation in $\mathbb R^d$ with A. Raoufi and V. Tassion, PTRF (to appear).

[37] Higher order corrections for anisotropic bootstrap percolation with A. C. D. van Enter and T. Hulshof, PTRF (to appear).

[36] The box-crossing property for critical two-dimensional oriented percolation with V. Tassion and A. Teixeira, PTRF (to appear).

[35] Minimal growth harmonic functions on lamplighter groups with I. Benjamini, G. Kozma and A. Yadin, New York J Math. (to appear).

Published

[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).

Lecture Notes and Books

[i] Lectures on
the Ising and Potts models on the hypercubic lattice.

[h] Parafermionic observables and their applications to planar statistical physics models Ensaios Matematicos (2013).

[g] 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).

[f] Order/disorder phase transitions: the example of the Potts model Lectures notes of the conference Current Developments in mathematics (2015).

[e] Graphical representations of lattice spin models Lecture notes of Cours Peccot du Collège de France (2015).

[d] Lectures on Planar percolation with a glimpse of Schramm Loewner Evolution with V. Beffara, Probab. Surveys (2013).

[c] Critical point and duality in planar lattice models with V. Beffara, Probab. and Stat. Phys. in St. Petersburg (2016).

[b] Conformal invariance of lattice models with S. Smirnov, Clay Math. Proc. (2012).

[a] Lectures on self-avoiding-walks with R. Bauerschmidt, J. Goodman, and G. Slade, Clay Math. Proc. (2012).

[h] Parafermionic observables and their applications to planar statistical physics models Ensaios Matematicos (2013).

[g] 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).

[f] Order/disorder phase transitions: the example of the Potts model Lectures notes of the conference Current Developments in mathematics (2015).

[e] Graphical representations of lattice spin models Lecture notes of Cours Peccot du Collège de France (2015).

[d] Lectures on Planar percolation with a glimpse of Schramm Loewner Evolution with V. Beffara, Probab. Surveys (2013).

[c] Critical point and duality in planar lattice models with V. Beffara, Probab. and Stat. Phys. in St. Petersburg (2016).

[b] Conformal invariance of lattice models with S. Smirnov, Clay Math. Proc. (2012).

[a] Lectures on self-avoiding-walks with R. Bauerschmidt, J. Goodman, and G. Slade, Clay Math. Proc. (2012).

Proceedings and other
publications

[ix] Sharp
threshold phenomena in statistical physics Takagi
Lecture (2017).

[viii] Sixty years of percolation Proceedings of the ICM (2018).

[vii] Introduction to percolation theory Master class .

[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).

[viii] Sixty years of percolation Proceedings of the ICM (2018).

[vii] Introduction to percolation theory Master class .

[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).

Coauthors' webpages

D.
Ahlberg, M.
Aizenman, T.
Alberts, J.
Balogh, R.
Bauerschmidt, N.
Beaton, V.
Beffara, I.
Benjamini, S. Benoist, B.
Bollobás, M.
Bousquet-Mélou, D.
Chelkak, D.
Cimasoni, L.
Coquille, A.
van Enter, C.
Garban, J.
de Gier, A. Glazman, J. Goodman, T.
Guttmann, A.
Hammond, M. Harel, A.
Holroyd, C.
Hongler, D.
Ioffe, A.
Kemppainen, G.
Kozma, C.
Lucas, I.
Manolescu, R.
Morris, P.
Nolin, R.
Peled, G. Pete,
A. Raoufi, W.
Samotij, V.
Sidoravicius, G.
Slade, S.
Smirnov, P. Smith,
Y. Spinka,
V. Tassion,
Y. Velenik,
A. Yadin, A.
Yehudayoff.

Links to my personal pages on arXiv | Mathscinet | Google Scholar

Links to my personal pages on arXiv | Mathscinet | Google Scholar