11 papers
TAP states at upper deviations of the free energy: existence, localization and marginal stability in Ising spin glasses
Yan Ru Pei
We study upper large deviations of the free energy of mixed -spin Ising spin glasses through the generalized TAP free energy of Chen, Panchenko and Subag. For…
Upper deviations of the Sherrington-Kirkpatrick free energy: the fifth-order law and the onset of constrained Parisi measures
Yan Ru Pei
Let be the partition function of the Sherrington-Kirkpatrick model at inverse temperature . Replica theory (Kondor near the critical temperature, Parisi and Rizzo at all…
Vertical and reentrant ferromagnetic boundaries below the Nishimori point
Yan Ru Pei
We prove that below the multicritical (Nishimori) point the ferromagnetic boundary of a biased Ising spin glass, argued by Nishimori (1986) to be exactly vertical, can be vertical…
Positive-temperature spin-glass order on the three-dimensional Migdal-Kadanoff lattice
Yan Ru Pei
We study the Ising spin glass with independent, identically distributed couplings on the diamond hierarchical lattice with branches, of effective dimension ; …
Macroscopic freezing of a vector Gaussian free field conditioned to avoid a ball
Yan Ru Pei
We consider a fixed finite number of independent two-dimensional discrete Gaussian free fields on a box of side , with zero boundary values, conditioned so that the vector-value…
Uniform displacement bounds and Gibbs limits for periodic one-dimensional Riesz gases
Yan Ru Pei
For the neutral periodic one-dimensional Riesz gas with pair potential locally , , we prove a particle-displacement variance bound of order , uniformly in th…
Critical and near-critical influence bounds for ferromagnetic Ising models
Yan Ru Pei
For a ferromagnetic Ising model on a graph of maximum degree , we prove a bound of order on every row of the influence matrix at the tree uniqueness threshold. The…
Towards the spin-glass transition in finite dimensions via blue percolation
Yan Ru Pei
We prove blue percolation in the Chayes-Machta-Redner representation of the zero-field Edwards-Anderson spin glass in finite dimensions. For fixed symmetric iid couplings with $0<m…
peapods: A Rust-Accelerated Monte Carlo Package for Ising Spin Systems
Yan Ru Pei
We present peapods (github.com/PeaBrane/peapods), an open-source Python package for Monte Carlo simulation of Ising spin systems with arbitrary coupling constants on periodic Brava…
A Lightweight Spatiotemporal Network for Online Eye Tracking with Event Camera
Yan Ru Pei, Sasskia Brüers, Sébastien Crouzet +2
Event-based data are commonly encountered in edge computing environments where efficiency and low latency are critical. To interface with such data and leverage their rich temporal…
A Finite-temperature Phase Transition for the Ising Spin-glass in
Yan Ru Pei, Massimiliano Di Ventra
It is believed that the Ising spin-glass does not order at finite temperatures in dimension . However, using a graphical representation and a contour argument, we prov…