Personal details

I am a  postdoctoral researcher at the Technical University of Munich, under the mentorship of Prof. Noam Berger.  Previously, I was a Ph.D. student at the University of Bath (UK) under the supervision of Daniel Kious. I defended my thesis titled Slowdown phenomena and scaling limits for random walks in random conductances in 2023.

Email address: carlo.scali[at]tum[dot] de

CV: MyCV 

Research

Published/accepted

• Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime, with A. Fribergh and T. Lions, Ann. Inst. Henri Poincaré Probab. Stat. 2026. ArXiv preprint 

• Aging and sub-aging for one-dimensional random walks amongst random conductances, with D. Croydon  D. Kious. Stochastic Processes and their Applications, 182, 2025. ArXiv preprint 

Preprints

• Collisions of random walks on comb graphs with a planar base, with U. De Ambroggio and M. Nitzschner, 2025. ArXiv preprint 

• Quenched limit for diffusive biased random walks in random environment, 2025.  ArXiv preprint 

• Quenched scaling limit for biased random walks on random, heavy tailed conductances: low dimensions, with U. De Ambroggio, 2025. ArXiv preprint 

• On the phase transition for the number of collisions on comb graphs, with U. De Ambroggio, Jenson NG, M. Nitzschner, 2026, ArXiv preprint 

• Mixing time and isoperimetry of long-range percolation in the diffusive regime, with D. Mitsche, 2026, ArXiv preprint 

• The constant speed random walk on dynamical conductances, with E. Couillard, 2026, ArXiv preprint