Assistant Professor

Research Interests

Probability Theory; Mathematical Physics; Disordered Systems and Percolation

Teaching

• MATH2431  Honors Probability
• MATH5412  Advanced Probability Theory II

Selected Publications

  Article

1. Solidification Estimates for Random Walks on Supercritical Percolation Clusters
   • Author(s): CHIARINI, Alberto; LIU, Zhizhou; NITZSCHNER, Maximilian Alexander
   • Source: Potential Analysis, v. 65, article number 3
   • Year: 2026


2. Lower bounds for bulk deviations for the simple random walk on ℤ^d, d≥3
   • Author(s): CHIARINI, Alberto; NITZSCHNER, Maximilian Alexander
   • Source: ANNALES DE L INSTITUT HENRI POINCARE PROBABILITES ET STATISTIQUES
   • Year: 2025


3. Absence of weak disorder for directed polymers on supercritical percolation clusters
   • Author(s): Nitzschner, Maximilian Alexander
   • Source: Annales de l’Institut Henri Poincaré Probabilities et Statistiques, 2024
   • Year: 2024


4. Phase Transition for Level-Set Percolation of the Membrane Model in Dimensions d≥ 5
   • Author(s): Chiarini, Alberto; Nitzschner, Maximilian
   • Source: Journal of Statistical Physics, v. 190, (3), January 2023, article number 59
   • Year: 2023


5. Smoothness of the diffusion coefficients for particle systems in continuous space
   • Author(s): Giunti, Arianna; Gu, Chenlin; Mourrat, Jean-Christophe; Nitzschner, Maximilian
   • Source: Communications in Contemporary Mathematics, v. 25, (3), April 2023, article number 2250027
   • Year: 2023


6. Disconnection and Entropic Repulsion for the Harmonic Crystal with Random Conductances
   • Author(s): Chiarini, Alberto; Nitzschner, Maximilian
   • Source: Communications in Mathematical Physics, v. 386, (3), September 2021, p. 1685-1745
   • Year: 2021


7. Solidification of porous interfaces and disconnection
   • Author(s): Nitzschner, Maximilian; Sznitman, Alain-Sol
   • Source: Journal of the European Mathematical Society, v. 22, (8), May 2020, p. 2629-2672
   • Year: 2020


8. Entropic repulsion for the occupation-time field of Random interlacements conditioned on disconnection
   • Author(s): Chiarini, Alberto; Nitzschner, Maximilian
   • Source: Annals of Probability, v. 48, (3), May 2020, p. 1317-1351
   • Year: 2020


9. Entropic repulsion for the Gaussian free field conditioned on disconnection by level-sets
   • Author(s): Chiarini, Alberto; Nitzschner, Maximilian
   • Source: Probability Theory and Related Fields, v. 177, (1-2), June 2020, p. 525-575
   • Year: 2020


10. Disconnection by level sets of the discrete Gaussian free field and entropic repulsion
    • Author(s): Nitzschner, Maximilian
    • Source: Electronic Journal of Probability, v. 23, October 2018, article number 105, p. 1-21
    • Year: 2018