# Marco Biroli — full site content

Research Scholar, University of Chicago. Statistical physics of extreme values, stochastic resetting, random matrix theory, correlated particle systems; applications at the stat-physics × machine-learning boundary. Previously PhD at LPTMS, Université Paris-Saclay under Satya N. Majumdar.

Source website: https://marcobiroli.github.io

## Publications

### First-passage resetting gas

- Authors: Marco Biroli, Satya N. Majumdar, Grégory Schehr
- Venue: Europhysics Letters 153, 31002, 2026
- Citations: 2
- DOI: https://doi.org/10.1209/0295-5075/ae3f4f
- arXiv: https://arxiv.org/abs/2512.00440

A gas of Brownian particles whose collective reset is triggered by a first-passage event — the first one to reach a threshold drags the others back. Correlations, stationary density, and extreme-value statistics in this first-passage-coupled setting.

### Dynamically emergent correlations in Brownian particles subject to simultaneous non-Poissonian resetting protocols

- Authors: Gabriele de Mauro, Marco Biroli, Satya N. Majumdar, Grégory Schehr
- Venue: Physical Review E 113, 014120, 2026
- Citations: 7
- DOI: https://doi.org/10.1103/vmhz-6h5s
- arXiv: https://arxiv.org/abs/2509.06658

Generalizes the correlated Brownian gas to non-Poissonian resetting protocols — deterministic, power-law, heavy-tailed. The shape of the inter-reset distribution reshapes the correlation structure.

### Experimental evidence for strong emergent correlations between particles in a switching trap

- Authors: Marco Biroli, Sergio Ciliberto, Manas Kulkarni, Satya N. Majumdar, Artyom Petrosyan, Grégory Schehr
- Venue: arXiv preprint, 2025
- Citations: 5
- arXiv: https://arxiv.org/abs/2508.07199

An optical-tweezers experiment that directly measures the emergent correlations predicted for particles in a stochastically switching trap — the first experimental realization of the mechanism.

### Resetting Dyson Brownian motion

- Authors: Marco Biroli, Satya N. Majumdar, Grégory Schehr
- Venue: Physical Review E 112, 014101, 2025
- Citations: 13
- DOI: https://doi.org/10.1103/d29k-kmcs
- arXiv: https://arxiv.org/abs/2503.14733

Dyson Brownian motion of N eigenvalues, reset simultaneously. Stationary density, extreme-eigenvalue statistics, and the crossover between resetting-dominated and repulsion-dominated regimes.

### Strongly correlated stochastic systems

- Authors: Marco Biroli
- Venue: arXiv preprint (PhD thesis / review), 2025
- Citations: 1
- arXiv: https://arxiv.org/abs/2508.12818

A unified review of the strongly-correlated stochastic systems that motivated the papers above: resetting as a correlation-generating mechanism, exactly solvable gas models, extreme and order statistics in the correlated regime.

### Exact extreme, order, and sum statistics in a class of strongly correlated systems

- Authors: Marco Biroli, Hernán Larralde, Satya N. Majumdar, Grégory Schehr
- Venue: Physical Review E 109, 014101, 2024
- Citations: 24
- DOI: https://doi.org/10.1103/PhysRevE.109.014101
- arXiv: https://arxiv.org/abs/2307.15351

A class of strongly correlated systems where the joint distribution factorizes after conditioning on a single random variable — enabling closed-form extreme, order, and sum statistics.

### Resetting by rescaling: exact results for a diffusing particle in one dimension

- Authors: Marco Biroli, Yannick Feld, Alexander K. Hartmann, Satya N. Majumdar, Grégory Schehr
- Venue: Physical Review E 110, 044142, 2024
- Citations: 12
- DOI: https://doi.org/10.1103/PhysRevE.110.044142
- arXiv: https://arxiv.org/abs/2406.08387

A diffusing particle whose position is rescaled (rather than reset to the origin) at Poisson events. Exact stationary distribution and large-deviation tails, with numerical checks.

### Dynamically emergent correlations between particles in a switching harmonic trap

- Authors: Marco Biroli, Manas Kulkarni, Satya N. Majumdar, Grégory Schehr
- Venue: Physical Review E 109, L032106, 2024
- Citations: 30
- DOI: https://doi.org/10.1103/PhysRevE.109.L032106
- arXiv: https://arxiv.org/abs/2312.02570

Non-interacting particles in a harmonic trap whose stiffness switches stochastically develop non-trivial correlations purely from the shared environmental noise.

### Critical number of walkers for diffusive search processes with resetting

- Authors: Marco Biroli, Satya N. Majumdar, Grégory Schehr
- Venue: Physical Review E 107, 064141, 2023
- Citations: 26
- DOI: https://doi.org/10.1103/PhysRevE.107.064141
- arXiv: https://arxiv.org/abs/2303.18012

For N searchers independently diffusing with resetting, the mean first-passage time to a target has a non-monotonic dependence on N — we characterize the critical number of walkers below which a single fast walker beats the crowd.

### Extreme statistics and spacing distribution in a Brownian gas correlated by resetting

- Authors: Marco Biroli, Hernán Larralde, Satya N. Majumdar, Grégory Schehr
- Venue: Physical Review Letters 130, 207101, 2023
- Citations: 61
- DOI: https://doi.org/10.1103/PhysRevLett.130.207101
- arXiv: https://arxiv.org/abs/2211.00563

N Brownian particles on a line, each simultaneously reset to the origin at rate r. The shared resetting event alone correlates otherwise-independent particles; we derive the resulting order-statistics and spacing distributions in closed form.

### Number of distinct sites visited by a resetting random walker

- Authors: Marco Biroli, Francesco Mori, Satya N. Majumdar
- Venue: Journal of Physics A 55, 244001, 2022
- Citations: 27
- DOI: https://doi.org/10.1088/1751-8121/ac6b69
- arXiv: https://arxiv.org/abs/2202.04906

Exact results for the mean and full distribution of the number of distinct sites visited by a lattice random walker subject to stochastic resetting.

### Time, privacy, robustness, accuracy: trade-offs for the open vote network protocol

- Authors: Fatima-Ezzahra El Orche, Rémi Géraud-Stewart, Peter B. Rønne, Gergei Bana, David Naccache, Peter YA Ryan, Marco Biroli, Megi Dervishi, Hugo Waltsburger
- Venue: E-Vote-ID 2022 (LNCS 13553), 2022
- Citations: 8
- DOI: https://doi.org/10.1007/978-3-031-15911-4_2

A cryptography / e-voting paper from an earlier collaboration: analysis of the open vote network protocol along the axes of time, privacy, robustness, and accuracy.

## Notes and research explainers

### A fresh site

- Date: 2026-04-18
- URL: https://marcobiroli.github.io/notes/welcome
- Raw markdown: https://marcobiroli.github.io/notes/welcome.md

> Why this redesign, and what to expect here.

The old site had served me well since grad school, but it had become a wall of bullet points. This rebuild has a simpler goal: put the work first, then surround it with the occasional explainer.

Expect two flavors of posts here:

1. **Short notes** — reading notes, conference write-ups, the odd opinion.
2. **Research explainers** — illustrated, interactive walk-throughs of my own papers.

If you'd like to get in touch, email is the fastest way.