Recent preprints

P.A. Ferrari, D. Gabrielli. BBS invariant measures with independent soliton components. Preprint, 2018. [arXiv]

A. Dembo, P. Groisman, R. Huang, V. Sidoravicius. Averaging Principle and Shape Theorem for a Growth Model with Memory. Preprint, 2018. [arXiv]

Pablo Groisman, Matthieu Jonckheere, Facundo Sapienza. Nonhomogeneous Euclidean first-passage percolation and distance learning. Preprint, 2018. [arXiv]

Maria Clara Fittipaldi, Matthieu Jonckheere, Sergio I. Lopez. Convergence properties of many parallel servers under power-of-D load balancing. Preprint, 2018. [arXiv]

Tobias Johnson, Leonardo T. Rolla. Sensitivity of the frog model to initial conditions. Preprint, 2018. [arXiv]

Matthieu Jonckheere, Manuel Sáenz. Asymptotic optimality of degree-greedy discovering of independent sets in Configuration Model graphs. Preprint, 2018. [arXiv]

Pablo A. Ferrari, Chi Nguyen, Leonardo T. Rolla, Minmin Wang. Soliton decomposition of the Box-Ball System. Preprint, 2018. [arXiv]

P. A. Ferrari, A. Galves, I. Grigorescu, E. Löcherbach. Phase transition for infinite systems of spiking neurons. Preprint, 2018. [arXiv]

A. De Masi, P.A. Ferrari, E. Presutti, N. Soprano-Loto. Non local branching Brownians with annihilation and free boundary problems. Preprint, 2017. [arXiv]

M. Jonckheere, S. Saglietti. On laws of large numbers in L2 for supercritical branching Markov processes beyond λ-positivity. Preprint, 2017. [arXiv]

M. Capanna, N. Soprano-Loto. Turing instability in a model with two interacting Ising lines: linear stability and non-equilibrium fluctuations. Preprint, 2017. [arXiv]

M. Capanna. Critical fluctuations in the SIR model. Preprint, 2017. [arXiv]

L.T. Rolla, V. Sidoravicius, O. Zindy. Critical density for Activated Random Walks. Preprint, 2017. [arXiv]

A. De Masi, P.A. Ferrari, E. Presutti, N. Soprano-Loto. Hydrodynamics of the N-BBM process. Preprint, 2017. [arXiv]

L.T. Rolla. Site Percolation on a Disordered Triangulation of the Square Lattice. Preprint, 2017. [arXiv]

B.N.B. de Lima, L.T. Rolla, D. Valesin. Monotonicity and phase diagram for multi-range percolation on oriented trees. Preprint, 2017. [arXiv]

M. Jonckheere, S. Saglietti. On the Kesten-Stigum theorem in L2 beyond R-positivity. Preprint, 2017. [arXiv]

Selected publications

V. Becher, S.A. Yuhjtman. On absolutely normal and continued fraction normal numbers. Int. Math. Res. Not. IMRN, to appear, 2018. [arXiv]

M. Costa, M. Menshikov, V. Shcherbakov, M. Vachkovskaia. Localisation in a growth model with interaction. J. Stat. Phys. 171:1150-1175, 2018. [MR] [arXiv]

D. Erhard, J. Martínez, J. Poisat. Brownian paths homogeneously distributed in space: Percolation phase transition and uniqueness of the unbounded cluster. J. Theoret. Probab., 30:784-812, 2017. [MR] [arXiv]

M. Capanna, N. Soprano-Loto. Turing instability in a model with two interacting Ising lines: hydrodynamic limit. Markov Process. Related Fields 23:401-420, 2017. [MR] [arXiv]

A. Procacci, S.A. Yuhjtman. Convergence of Mayer and virial expansions and the Penrose tree-graph identity. Lett. Math. Phys. 107:31-46, 2017. [MR] [arXiv]

A. Montino, N. Soprano-Loto, D. Tsagkarogiannis. Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures. J. Stat. Phys. 164:1318-1353, 2016. [MR] [arXiv]

A. Asselah, P.A. Ferrari P. Groisman, M. Jonckheere. Fleming-Viot selects the minimal quasi-stationary distirbution: the Galton-Watson case. Ann. Inst. H. Poincaré Probab. Statist. 52:647-668, 2016. [MR] [arXiv]

B.N.B. de Lima, A. Procacci, S.A. Yuhjtman. On stable pair potentials with an attractive tail, remarks on two papers by A. G. Basuev. Comm. Math. Phys. 343:445-476, 2016. [MR] [arXiv]

I. Armendáriz, P.A. Ferrari, N. Soprano-Loto. Phase transition for the dilute clock model. Stochastic Process. Appl. 125:3879-3892, 2015. [MR] [arXiv]

E. Andjel, F. Ezanno, P. Groisman, L.T. Rolla. Subcritical contact process seen from the edge: Convergence to quasi-equilibrium. Electron. J. Probab. 20:32, 2015. [MR] [arXiv]

I. Armendáriz, S. Grosskinsky, M. Loulakis. Metastability in a condensing zero-range process in the thermodynamic limit. Probab. Theory Related Fields 169:105-175, 2017. [MR] [arXiv]

A. De Masi, P.A. Ferrari, E. Presutti. Symmetric simple exclusion process with free boundaries. Probab. Theory Related Fields. 161:155-193, 2015. [MR] [arXiv]

I. Armendáriz, P.A. Ferrari, P. Groisman, F. Leonardi. Finite cycle Gibbs measures on permutations of Z^d. J. Stat. Phys. 158:1213-1233, 2015. [MR] [arXiv]

S. Foss, L.T. Rolla, V. Sidoravicius. Greedy walk on the real line. Ann. Probab. 43:1399-1418, 2015. [MR] [arXiv]

S.A. Yuhjtman. A sensible estimate for the stability constant of the Lennard-Jones potential. J. Stat. Phys. 160:1684-1695, 2015. [MR] [arXiv]

M. Jonckheere, S. Shneer. Stability of multi-dimensional birth-and-death processes with state-dependent 0-homogeneous jumps. Adv. in Appl. Probab. 46:59-75, 2014. [MR] [arXiv]

M. Jonckheere, S. López. Large deviations for the stationary measure of networks under proportional fair allocations. Math. Oper. Res. 39:418-43, 2013. [MR] [arXiv]

I. Armendáriz, S. Grosskinsky, M. Loulakis. Zero range condensation at criticality. Stoch. Process. Appl. 123:3466-3496, 2013. [MR] [arXiv]

R. Fernández, F. den Hollander, J. Martínez Variational description of Gibbs-non-Gibbs dynamical transitions for the Curie-Weiss model Comm. Math. Phys. 319:703-730, 2013. [MR] [arXiv]

P. Groisman, M. Jonckheere. Simulation of quasi-stationary distributions on countable spaces. Markov Process. Related Fields 19:521-542, 2013. [MR] [arXiv]

R. Fernández, F. den Hollander, J. Martínez Variational description of Gibbs-non-Gibbs dynamical transitions for spin-flip systems with a Kac-type interaction J. Stat. Phys. 156:203-220, 2013. [MR] [arXiv]

L.T. Rolla, V. Sidoravicius. Absorbing-state phase transition for driven-dissipative stochastic dynamics on Z. Invent. Math. 188:127-150, 2012. [MR] [arXiv]

P.A. Ferrari, R.M. Grisi, P. Groisman. Harmonic deformation of Delaunay triangulations. Stoch. Process. Appl. 6:2185-2210, 2012. [MR] [arXiv]

M.C. Fittipaldi, J. Fontbona. On SDE associated with continuous-state branching processes conditioned to be never extinct. Electron. Commun. Probab. 17:49, 2012.​ [MR] [arXiv]

P. Groisman, S. Saglietti. Small random perturbations of a dynamical system with blow-up. J. Math. Anal. Appl. 385:150-166, 2012. [MR] [arXiv]

I. Armendáriz. Brownian coagulation and a version of Smoluchowski's equation on the circle. Ann. Appl. Probab. 20:660-695, 2010. [MR] [arXiv]

M.R. Hilário, O. Louidor, C.M. Newman, L.T. Rolla, S. Sheffield, V. Sidoravicius. Fixation for distributed clustering processes. Comm. Pure Appl. Math. 63:926-934, 2010. [MR] [arXiv]