Benjamin Walter


Borland Fellow at Department of Mathematics
Imperial College London
Email: b.walter at Imperial's URL


I am interested in the fluctuations of systems that are out of equilibrium.


LinksPublicationsTalksStudentsTeaching

Publications

Preprints

[10*] B. Walter, G. Perfetto, A. Gambassi
"Thermodynamic phases in first detected return times of quantum many-body systems"
arXiv:2311.05585

[9*] D. Venturelli, S. A. M. Loos, B. Walter, E. Roldan, A. Gambassi
"Stochastic Thermodynamics of a Probe in a Fluctuating Correlated Field"
arXiv:2305.16235

Peer reviewed


[8] J. A. Kassel, B. Walter, H. Kantz
"Inferring nonlinear fractional diffusion processes from single trajectories" (2023)
arXiv:2304.02536
New J. Physics (25) 113036

[7] B. Walter, G. Pruessner, G. Salbreux
"Field theory of survival probabilities, extreme values, first passage times, and mean span of non-Markovian stochastic processes" (2022)
arXiv:2109.03649
Phys. Rev. Research (4), 043197
[In this video (at 2:25:28, 20'), I present the main findings of this paper (recorded at the EPS conference 2021).]

[6] B. Walter, G. Pruessner, G. Salbreux
"First passage time distribution of active thermal particles in potentials" (2021)
arXiv:2006.00116
Phys. Rev. Research (3), 013075

[5] M. Arutkin, B. Walter, K. J. Wiese
"Extreme Events for Fractional Brownian Motion with Drift: Theory and Numerical Validation" (2020)
arXiv:1908.10801
Phys. Rev. E (102), 022102

[4] B. Walter, K. J. Wiese
"Sampling first-passage times of fractional Brownian Motion using adaptive bisections" (2020)
arXiv:1908.11634
Phys. Rev. E (101), 043312

[3] I. Bordeu, S. Amarteifio, R. Garcia-Millan, B. Walter, N. Wei, G. Pruessner
"Volume explored by a branching random walk on general graphs" (2019)
arXiv:1909.00471
Sci. Rep. (9), 15590

[2] R. Garcia-Millan, J. Pausch, B. Walter, G. Pruessner
"Field-theoretic approach to the universality of branching processes" (2018)
arXiv 1808.08418
Phys. Rev. E (98), 062107

[1] J. Martínez-Blanco, B. Walter, A. Mascaraque, K. Horn
"Long-Range Order in an Organic Overlayer Induced by Surface Reconstruction: Coronene on Ge(111)" (2014)
J. Phys. Chem. C (118), 11699–11703

External Talks

25 Jan 2022, Inferring universal properties of critical fields from dragged colloids. DAMTP StatPhys and Soft Matter Seminar, University of Cambridge, UK.
8 Dec 2021, Non-equilibrium dynamics of colloids in fluctuating fields. Disordered Systems Seminar, King's College London, UK. Slides.
25 Nov 2021, Non-equilibrium dynamics of colloids in fluctuating fields. Statistical Physics Group Seminar, Centre for Fluid and Complex Systems, Coventry University
02 Nov 2021, Non-equilibrium dynamics of tracers in self-interacting fields. Complexity Seminar, Queen Mary University, London (online).
07 Oct 2021, Field theories for non-Markovian processes: Extreme values and beyond. ICTS Group Seminar, Bengaluru (online). Slides.
10 Sep 2021, Extreme events of non-Markovian stochastic processes from field theory. EPS Conference -- Statistical Physics of Complex Systems, ICTP Trieste. Video (20')
30 Aug 2021, First-passage times and other extreme events in non-Markovian processes. Math+ Cecam Meeting on Generalised Langevin Equations, Berlin (online).
18 Nov 2020, Fractional Brownian Motion, Levy Flights, and Fractional Diffusion. Mini-workshop on transport and long-range interactions, SISSA (Slides)
16 Sep 2020, First-passage times of thermal active particles. Max Planck Institute for physics of complex systems, Dresden, Germany. (Slides)

MSc/MSci Students

Will Taylor, Reset-induced steady states in quantum systems, 2023/2024 (co-supervised with Thibault Bertrand)
Giorgio Li, First detection times in disordered systems, 2022/2023
Drew Baldry, Parameter inference in fractional processes, 2022/2023

Teaching

Classical Dynamics, 2023/2024. Lecture notes available on blackboard.
'Brownian Motion' by Nina Paley