Publications

Reverse chronological. Preprint links go to arXiv unless a journal version is linked directly.

P. Groisman, M. Jonckheere, J. Serres, M. Sued K-means with learned metrics.
P. Groisman, A. Ramirez, S. Saglietti, S. Zaninovich A universality property for large deviations of RWRE close to the axis.
I. Bounos, P. Groisman, M. Sued, E. Tabak Invariant Feature Extraction Through Conditional Independence and the Optimal Transport Barycenter Problem: the Gaussian case.
P. Groisman, C. De Vita, J. Fernandez Bonder, Y. Zhang The size of the sync basin resolved. Physical Review E.
P. Groisman, A. Ramirez, S. Saglietti, S. Zaninovich GUE Fluctuations Near the Axis in One-Sided Ballistic Deposition.
C. De Vita, P. Groisman, R. Huang Phase Synchronization in Random Geometric Graphs on the 2D Sphere. SIAM Journal on Applied Dynamical Systems.
P. Groisman, L. Rolla, C. Terra Quasi-stationary distributions for subcritical population models.
C. Carvallo, H. Bocaccio, G. Mindlin, P. Groisman Siamese networks for Poincaré embeddings and the reconstruction of evolutionary trees. The ANZIAM Journal.
F. Fainstein, G. Mindlin, P. Groisman Reconstructing attractors with autoencoders. Chaos: An Interdisciplinary Journal of Nonlinear Science.
F. Cirelli, P. Groisman, R. Huang, H. Vivas Scaling Limit of the Kuramoto Model on Random Geometric Graphs. SIAM Journal on Applied Mathematics.
C. De Vita, J. Fernandez Bonder, P. Groisman The energy landscape of the Kuramoto model in random geometric graphs in a circle. SIAM Journal on Applied Dynamical Systems.
F. Chazal, L. Ferraris, P. Groisman, M. Jonckheere, F. Pascal, F. Sapienza Choosing the parameter of the Fermat distance: navigating geometry and noise. Transactions on Machine Learning Research.
P. Groisman, R. Huang, H. Vivas The Kuramoto model on dynamic random graphs. Nonlinearity.
E. Borghini, X. Fernandez, P. Groisman, G. Mindlin Intrinsic persistent homology via density-based metric learning. Journal of Machine Learning Research 24 (75), 1–42 (2023).
P. Groisman, N. Soprano-Loto Rank Dependent Branching-Selection Particle Systems. Electronic Journal of Probability 26, 1–27 (2021).
A. Dembo, P. Groisman, R. Huang, V. Sidoravicius Averaging Principle and Shape Theorem for a Growth Model with Memory. Communications on Pure and Applied Mathematics 74 (7), 1453–1492 (2021). (movie)
F. Arrejoria, P. Groisman, L. Rolla The quasi-stationary distribution of the subcritical contact process. Proceedings of the American Mathematical Society 148 (10), 4517–4525 (2020).
A. Ferrari, P. Groisman, K. Ravishankar Tumor growth, R-positivity, Multitype branching and Quasistationarity. Journal of Statistical Physics 180, 427–439 (2020).
P. Groisman, M. Jonckheere, J. Martínez F-KPP Scaling Limit and Selection Principle for a Brunet–Derrida type Particle System. ALEA, Latin American Journal of Probability and Mathematical Statistics (2020).
P. Groisman, M. Jonckheere, F. Sapienza Nonhomogeneous Euclidean First-passage Percolation and Distance learning. Bernoulli 28 (1), 255–276 (2022).
F. Sapienza, P. Groisman, M. Jonckheere Weighted Geodesic Distance Following Fermat's Principle. ICLR 2018 Workshop.
E. Fattori, P. Groisman, C. Sarraute Point Process Models for Distribution of Cell Phone Antennas.
P. Groisman, M. Jonckheere Front propagation and Quasi-stationary distributions: two faces of the same coin. In: Sidoravicius V. (eds) Sojourns in Probability Theory and Statistical Physics – III. Springer Proceedings in Mathematics & Statistics, vol 300. Springer, Singapore.
P. Groisman, S. Saglietti, N. Saintier Metastability for small random perturbations of a PDE with blow-up. Stochastic Process. Appl. 128, no. 5 (2018), 1558–1589.
P. Groisman, M. Jonckheere Front propagation and Quasi-stationary for one-dimensional Lévy processes. Electronic Communications in Probability (2018).
R. Fernandez, P. Groisman, S. Saglietti Stability of gas measures under perturbations and discretizations. Reviews in Mathematical Physics 28.10 (2016).
A. Asselah, P.A. Ferrari, P. Groisman, M. Jonckheere Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. Vol. 52, No. 2 (2016).
E. Andjel, F. Ezanno, P. Groisman, L.T. Rolla Subcritical contact process seen from the edge: Convergence to quasi-equilibrium. Electronic Journal of Probability, v. 20, n. 32 (2015), 1–16.
I. Armendariz, P.A. Ferrari, P. Groisman, F. Leonardi Finite cycle Gibbs measures on permutations of Z^d. Journal of Statistical Physics 158.6 (2015), 1213–1233.
P. Groisman, M. Jonckheere Simulation of quasi-stationary distributions on countable spaces. Markov Processes and Related Fields, Vol 19 (3) (2013), 521–542.
T. Franco, P. Groisman A particle system with explosions: law of large numbers for the density of particles and the blow-up time. Journal of Statistical Physics, 149.4 (2012) 629–642.
P.A. Ferrari, R. Grisi, P. Groisman Harmonic deformation of Delaunay triangulations. Stoch. Proc. Appl. Vol 122 (5) (2012), 2185–2210.
P. Groisman, S. Saglietti Small Random Perturbations of a Dynamical System with Blow-up. J. Math. Anal. App. Vol 385 (1) (2012), 150–166.
A. Asselah, P.A. Ferrari, P. Groisman Quasi-stationary distributions and Fleming Viot processes on finite spaces. J. Appl. Probab. Vol 48, No 2 (2011), 322–332.
J. Fernandez Bonder, P. Groisman Time-space white noise eliminates global solutions in reaction-diffusion problems. Physica D, 238 (2009), 209–215.
J. Fernandez Bonder, P. Groisman, J.D. Rossi Continuity of the explosion time in stochastic differential equations. Stochastic Anal. Appl. Vol. 27, no. 5, pp. 984–999 (2009).
P. Groisman, J.D. Rossi The Explosion time in stochastic differential equations with small diffusion. Electron. J. Diff. Eqns. (2007), No. 140, pp. 1–9.
D. Carando, R. Fraiman, P. Groisman Nonparametric likelihood based estimation for a multivariate Lipschitz density. Journal of Multivariate Analysis 100 (2009), 981–992.
J. Fernandez Bonder, P. Groisman, J.D. Rossi Optimization of the first Steklov eigenvalue in domains with holes: a shape derivative approach. Ann. Mat. Pura Appl., 186 (2) 341–358 (2007). (numerical experiments)
J. Davila, J. Fernandez Bonder, P. Groisman, J.D. Rossi, M. Sued Numerical analysis of stochastic differential equations with explosions. Stochastic Anal. Appl. 23 (4), 809–826 (2005).
P. Groisman Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions. Computing, 76, 325–352 (2006).
C. Brändle, P. Groisman, J.D. Rossi Fully discrete adaptive methods for a blow-up problem. Math. Models Methods Appl. Sci. 14 (10), 1425–1450 (2004).
R. Ferreira, P. Groisman, J.D. Rossi Numerical blow-up for the porous medium equation with a source. Numer. Methods Partial Differential Equations, 20 (4), 552–575 (2004).
P. Groisman, J.D. Rossi Aproximando soluciones que explotan. Boletín de la Sociedad Española de Matemática Aplicada No. 26, 35–56 (2003).
P. Groisman, J.D. Rossi Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem. Asymptot. Anal., 37(1) 79–91 (2004).
P. Groisman, J.D. Rossi, H. Zaag On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem. Comm. Partial Differential Equations. 28 (3–4) 737–744 (2003).
R. Ferreira, P. Groisman, J.D. Rossi Adaptive numerical schemes for a parabolic problem with blow-up. IMA J. Numer. Anal. 23 (3), 439–463 (2003).
F. Quiros, P. Groisman, J.D. Rossi Non-simultaneous blow-up in a numerical approximation of a parabolic system. Comput. Appl. Math. 21(3), 813–831 (2002).
G. Acosta, J. Fernandez Bonder, P. Groisman, J.D. Rossi Simultaneous vs. non-simultaneous blow-up in numerical approximations of a parabolic system with nonlinear boundary conditions. Math. Model. Numer. Anal. (M2AN). 32(1), 55–68 (2002).
R. Ferreira, P. Groisman, J.D. Rossi Numerical blow-up for a nonlinear problem with a nonlinear boundary condition. Math. Models Methods Appl. Sci. (M3AS). 12 (4), 461–483 (2002).
G. Acosta, J. Fernandez Bonder, P. Groisman, J.D. Rossi Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions. Disc. Cont. Dyn. Sys. 2(2), 279–294 (2002).
J. Fernandez Bonder, P. Groisman, J.D. Rossi On numerical blow-up sets. Proc. Amer. Math. Soc. 130, 2049–2055 (2002).
P. Groisman, J.D. Rossi Asymptotic behaviour for a numerical approximation of a parabolic problem with blowing up solutions. J. Comput. Appl. Math. 135(1), 135–155 (2001).
P. Groisman Numerical approximations for blow-up problems. PhD Thesis.