publications

• 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 Poincare 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. Movie. Communications on Pure and Applied Mathematics 74 (7), 1453-1492 (2021).

• 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, Latinamerican 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. Brandle, P. Groisman y 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 y 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 y J.D. Rossi, Aproximando soluciones que explotan. Boletín de la Sociedad Española de Matematica Aplicada No. 26, 35-56 (2003).

• P. Groisman y 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 y 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 y 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 y 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 y 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 y 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 y 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 y 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.