Perla Sousi

Name:	Perla Sousi
Affiliation:	University of Cambridge
E-mail:	(only provided to users who are logged into talks.cam)
Last login:	13 Mar 2026, 4:37 p.m.

Public lists managed by Perla Sousi

• Probability

Talks given by Perla Sousi

Obviously this only lists talks that are listed through talks.cam. Furthermore, this facility only works if the speaker's e-mail was specified in a talk. Most talks have not done this.

• Capacity for branching random walks and percolation

Talks organised by Perla Sousi

This list is based on what was entered into the 'organiser' field in a talk. It may not mean that Perla Sousi actually organised the talk, they may have been responsible only for entering the talk into the talks.cam system.

• Massive holomorphicity in near-critical dimers and the Sine Gordon model
• The polaron problem and Kac type interactions
• Stochastic heat equation and directed polymers in dimension d=2
• Spectral gaps of random hyperbolic surfaces
• Games on trees
• Mixing time of random walk on the small-world network
• Capacity for branching random walks and percolation
• On large clusters for the Gaussian free field
• Mixing of a random walk on a randomly twisted hypercube
• The Porous Medium Equation: Multiscale Analysis of a Zero-Range Process, Integrability Estimate and Large Deviations
• Road layout in the KPZ class
• The *-Edge Reinforced random walk, bayesian statistics and statistical physics
• Mixing times for the open ASEP
• The point of view of the particle for 2D random walks in Dirichlet environment
• A reduction of the theta(pc) problem to a correlation inequality.
• Random growth models with half space geometry
• Rotationally Invariant First passage percolation - Scaling and Chaos
• Fragmentations with erasure
• Loop-erased random walk in three dimensions
• Reinforced Random Walk and a Supersymmetric Spin System on the Tree
• Scaling limit of high-dimensional random spanning trees
• Two new results on random matrices
• Packing Spheres Randomly
• The invariant measure of the 2D Yang-Mills Langevin dynamic
• A topological transition in the XY model
• Spin glass phase in the Edwards-Anderson model at zero temperature
• Sampling from the random cluster model on the random regular graph at all temperatures
• Scaling limits and decay of correlations for non-convex interaction
• Scaling limits and decay of correlations for non-convex interaction
• On Lévy-driven Loewner Evolutions
• Sphere-packings on lattices in mathematical physics
• Scaling limit of multi-type stationary measures in the KPZ class
• Mixing time of random walk on dynamical random cluster
• The bead process on the torus
• Capacity of the range of random walk
• Transition of the simple random walk on the graph of the ice-model
• Properties of the gradient squared of the Gaussian free field
• On the Replica Symmetric Regime of the SK Model
• Random trees conditioned on the number of vertices and leaves
• Large deviations for out of equilibrium correlations in the symmetric simple exclusion process
• Random tournaments
• On the number of level sets of smooth Gaussian fields
• The contact process over a dynamical d-regular graph
• Gaussian multiplicative chaos measures, Painlevé equations, and conformal blocks
• Regularity of SLE: Precise variation and modulus of continuity
• State spaces and stochastic dynamics for Yang Mills in 2D and 3D
• Scaling limit of a branching process in a varying environment
• The scaling limit of the 2D discrete Gaussian model at high temperature
• Exit sets for vector valued GFF and interplay with planar O(N) models
• A dynamical approach to lattice Yang-Mills
• Scaling limit of the heavy-tailed ballistic deposition model with p-sticking
• Percolation, long-range correlations and critical exponents on transient graphs
• Scaling limits and macroscopic behavior for stochastic models of active matter
• The chemical distance in random interlacements in the low-intensity regime
• Integrable fluctuations in random growth
• Mixing times for the TASEP on the circle
• Absolutely Continuous Self Similar Measures
• Sharpness of the phase transition for level set percolation of long-range correlated Gaussian fields
• The interchange model and related spin systems on two-block graphs
• Entropic Independence and Optimal Sampling from Combinatorial Distributions
• On a probabilistic approach to the parabolic-parabolic Keller-Segel system
• Learning low-degree functions from few random queries
• Wilson loop expectations as sums over surfaces in 2D
• The directed landscape
• Hastings-Levitov planar aggregation
• Integrability of the conformal loop ensemble
• Intersection of the traces of two independent walks in high dimensions
• Revisiting optimal scaling of Metropolis-Hastings methods
• On the radius of Gaussian free field excursion clusters
• Supercritical Percolation on Finite Transitive Graphs
• Fluctuation bounds for O'Connell-Yor type systems
• Soliton decomposition of the Box-Ball System
• Variational methods for a singular SPDE yielding the universality of the magnetisation ripple
• Limiting Behaviour for Heat Kernels of Random Processes in Random Environments
• Geodesics in the Brownian map: Strong confluence and geometric structure
• Random walks on decorated Galton-Watson trees
• Factors in probability and ergodic theory
• Maximum and coupling of the sine-Gordon field
• How far do activated random walkers spread from a single source?
• Monotonicity and phase transition for the edge-reinforced random walk
• Dimensions of the two-valued sets of the 2D GFF
• Percolation for the Gaussian free field on the cable system
• A Markov Process associated to the noncutoff Boltzmann Equation
• Random measures on the Brownian path with prescribed expectation
• Random walk on the simple symmetric exclusion process
• On the statistical behavior of the Riemann zeta function
• Empirical Measure and Small Noise Asymptotics under Large Deviation Scaling for Interacting Diffusions
• The optimal matching problem
• Local geometry of the rough-smooth interface in the two-periodic Aztec diamond.
• Mixing and cut-off for random walks on finite fields and random polynomials
• Patterns and Szemerédi phenomena in random fractals
• Fluctuations in the number of level set components of planar Gaussian fields
• Kinetic theory for the low-density Lorentz gas
• CENTRAL LIMIT THEOREMS AND THE GEOMETRY OF POLYNOMIALS
• Variational principle for lattice models with long-range interactions
• Understanding Liouville quantum gravity through two square subdivision models
• Cutoff for the mean-field zero-range process
• Forest fire processes and near-critical percolation with heavy-tailed impurities
• Cutoff for Random Walk on Random Cayley Graphs
• Fortuin-Kastelyn type representations for Threshold Gaussian and Stable Vectors: aka Divide and Color processes (joint work with Malin Palö Forsström)
• Hard-core configurations on Z^2 and other lattices
• Large deviations of subgraph counts for sparse random graphs
• Isomorphism theorems and the sign cluster geometry of the Gaussian free field
• Existence and uniqueness of the Liouville quantum gravity metric for γ ∈ (0, 2)
• Stochastic homogenization in amorphous media and applications to exclusion processes
• Flux Large Deviations
• Covariance formulas for fluctuations of linear spectral statistics for Wigner matrices with few moments
• Large deviations for the maximum of a branching random walk
• Entropy decay and concentration for Strong Rayleigh measures via couplings
• Subsequential limits for Liouville graph distance
• Mixing times of exclusion processes on regular graphs
• Scaling limit of the condensate dynamics in a reversible zero range process
• Bootstrap percolation and kinetically constrained spin models: critical time scales
• Sumset bounds for the entropy on abelian groups
• Scaling limits for planar aggregation with subcritical fluctuations
• Kazhdan groups have cost 1
• On gradient estimates for random walks in time-dependent random environments
• The smoothed KPZ equation in dimension three and higher: Edwards-Wilkinson regime of its fluctuations and its localization properties
• The TAP-Plefka variational principle for mean field spin glasses
• Nonpositive curvature is not coarsely universal
• Mixing time for the non-babktracking random walk on random graphs with communities
• Last-Passage Percolation with constraints, and applications to polymers in random environment
• Invariance principle for the random Lorentz gas beyond the [Boltzmann-Grad / Gallavotti-Spohn] limit
• The Dirichlet problem for circle packings
• Delocalization of uniform graph homomorphisms from Z^2 to Z
• Polluted Bootstrap Percolation
• High-density hard-core configurations on a triangular lattice
• A particle model for Wasserstein type diffusion
• The criticality of a randomly-driven front
• First passage percolation in hostile environment (on hyperbolic graphs)
• Asymptotics for 2D critical and near-critical first-passage percolation
• Extremal and local statistics for gradient field models
• Parking
• Recurrence of the vertex-reinforced jump process in two dimensions
• Criticality in random transposition random walk
• Title to be confirmed
• The Fyodorov-Bouchaud conjecture and Liouville conformal field theory
• Determinantal structures in (2+1)-dimensional growth and decay models
• Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves
• Improved bounds for sampling colorings of sparse random graphs
• Statistical mechanics on nonamenable graphs
• Macroscopic loops in the loop O(n) model
• Limit theory for statistics of random geometric structures
• Matrix Dyson equation and random matrices with correlations
• Random cluster dynamics for the Ising model is rapidly mixing
• Approximating conditional distributions
• Haldane relation for interacting dimers
• The Laplacian on some finitely ramified self-conformal circle packing fractals and Weyl's asymptotics for its eigenvalues
• The Structure of Extreme Level Sets in Branching Brownian Motion
• How to replace random walk representations in models that don't have one?
• Probabilizing Parking Functions
• Sharpness of the phase transition for random-cluster and Potts model via decision trees
• Variational principles for discrete maps
• The distribution of ζ'/ζ about a random point on the critical line
• The front location in branching Brownian motion with decay of mass
• Spectral radii of sparse random matrices
• Quantum ergodicity and Benjamini-Schramm convergence of hyperbolic surfaces
• Invariance principle for random walk in time-dependent balanced random environment
• Hook-up probabilities for conformal loop ensembles
• Eigenvectors and spectral measure of random regular graphs of fixed degree
• Percolation games
• Delocalising the parabolic Anderson model
• Diffusion processes on branching Brownian motion
• Critical branching diffusions in bounded domains.
• Quasilinear SPDEs via rough paths
• Exceptional times of the critical Erdős-Rényi graph
• Discontinuity of the phase transition for the planar random-cluster and Potts models with q > 4
• Double random currents, dimers and trees
• Small-time fluctuations for sub-Riemannian diffusion loops
• Local time at zero metric associated to a GFF on a cable graph.
• Biased Random Walks among random conductances
• Perturbative regimes for deterministic dynamics of a diluted gas of hard spheres
• Conformal restriction: the trichordal case
• Growth exponent for loop-erased random walk in 3 dimensions
• A new proof of Friedman’s second eigenvalue Theorem and its extensions
• From disorder relevance to the 2d Stochastic Heat Equation.
• Steiner trees in the stochastic mean-field model of distance
• Update Tolerance in Uniform Spanning Forests
• Random geodesics for the corner growth model
• Scaling limits of random walks and their time changes on trees and other graphs
• Ordering random variables and racing prime numbers
• A rough describtion of local sets of bounded type for the Gaussian free field
• Cutoff for the random walk on random directed graphs
• Non-extensive condensation in reinforced branching processes
• Condensation of a self-attracting random walk
• Monodromies of ramified random coverings and geometry on partitions
• The phase transition in bounded-size Achlioptas processes
• Weakly asymmetric bridges and the KPZ equation
• How to initialise a second class particle?
• Fixed-energy harmonic functions
• Random walks on groups and the Kaimanovich-Vershik conjecture
• Hyperplane arrangements and Stopping times
• Lévy master fields on the plane
• A historical law of large numbers for the Marcus-Lushnikov process
• A historical law of large numbers for the Marcus-Lushnikov process