Research
Research Interests
I do research in Mathematical Physics, with focus on fermionic systems and Euclidean quantum field theory. I particularly like to approach "old problems" with non-conventional techniques.
Topics I have been working on include:
- Effective dynamics for many-fermion systems
- Euclidean quantum field theories
- Non-commutative stochastic analysis
- Random Schrödinger operators, random band matrices
- Transport in 2d lattice fermionic systems
Publications
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Spin transport and lack of quantisation in the AII class on the honeycomb structure.
L. Fresta and G. Marcelli
to appear in Ann. Henri Poincaré (2026), arXiv:2505.22452.
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Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime.
L. Fresta, M. Porta and B. Schlein
Commun. Math. Phys. 406, 247 (2025)
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Non-commutative Lp spaces and Grassmann stochastic analysis.
F. C. De Vecchi, L. Fresta, M. Gordina and M. Gubinelli
Prob. Theor. Rel. Fields. 192, 949-1029 (2025)
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A stochastic analysis of subcritical Euclidean fermionic field theories.
F. C. De Vecchi, L. Fresta and M. Gubinelli
Ann. Probab. 53(3), 906-966 (2025)
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Effective Dynamics of Extended Fermi Gases in the High-Density Regime.
L. Fresta M. Porta and B. Schlein
Commun. Math. Phys. 401(3), 1701-1751 (2023)
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Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons.
L. Fresta and P. Moosavi
Phys. Rev. B 103, 085140 (2021)
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Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators.
L. Fresta
Math. Phys. Anal. Geom. 24, 4 (2021)
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A Supersymmetric Hierarchical Model for Weakly Disordered 3d Semimetals.
G. Antinucci, L. Fresta and M. Porta
Ann. Henri Poincaré 21, 3499-3574 (2020)
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Elementary test for nonclassicality based on the measurements of position and momentum.
L. Fresta, J. Borregaard and A. S. Sørensen
Phys. Rev. A 92, 062111 (2015)
Organisation and scientific activities