An Exact Solution of the Macroscopic Fluctuation Theory
Explore an exact solution of the Macroscopic Fluctuation Theory for diffusive interacting particle systems using Inverse Scattering Theory, focusing on the simple exclusion process.
A Statistical Physics Approach to the Sine Beta Process and Other Random Point Processes
Explore statistical physics approaches to Sine Beta processes and random point systems, focusing on universality properties and applications of DLR tools.
Cutoff for the Transience Time for the SSEP with Traps and the Facilitated Exclusion Process
Explore phase separation in the facilitated exclusion process, examining its mapping to SSEP with traps and analyzing transience time cutoff and mixing time implications.
Fredrickson-Andersen 2-Spin Facilitated Model - Sharp Threshold
Explore sharp threshold results for the Fredrickson-Andersen 2-spin facilitated model, examining relaxation mechanisms and proof techniques for interacting particle systems with kinetic constraints.
Introduction to Numerical Relativity - Part 1
Explore Einstein's Field Equations through computational methods, covering 3+1 formulation, initial data, evolution, gauge choice, and extracting gauge-invariant quantities for astrophysical simulations.
Introduction to Numerical Relativity - Part 2
Explore computational methods for solving Einstein's Field Equations, covering 3+1 formulation, initial data, evolution, gauge choice, and extracting gauge-invariant quantities in astrophysical simulations.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 6
Explore modern techniques for analyzing flows of irregular vector fields, with applications to fluid dynamics and turbulence theory. Gain insights into nonlinear PDEs and Euler/Navier-Stokes equations.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 5
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 4
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 3
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
Asymptotic Structure of Gravity and BMS Group at Spatial Infinity - Lecture 2
Explore asymptotic gravity structure at spatial infinity, BMS charges algebra, and connections to null infinity in this advanced theoretical physics lecture.
Asymptotic Structure of Gravity and BMS Group at Spatial Infinity - Part 1
Explore asymptotic structure of gravity, BMS charges, and angular momentum in asymptotically flat spacetimes using Hamiltonian methods at spatial infinity.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 2
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 1
Explore modern concepts in flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics and turbulence theory.
Wall-crossing and Resurgence in Supersymmetric QFT
Explore wall-crossing and resurgence in supersymmetric quantum field theory, uncovering their physical applications and implications in advanced theoretical physics.
Topological Phases of Quantum Lattice Systems and Higher Berry Classes - Lecture 2
Explore advanced concepts in topological phases of quantum lattice systems, including higher Berry classes, SRE phases, and their classification using TQFT and homotopy groups.
Waves, Disorder and Interactions: A Physicist's Perspective
Explore Anderson localization and its implications for interacting quantum particles in random potentials. Gain insights into wave equations, quantum phenomena, and challenges in physics research.
Probabilistic and Deterministic Scattering for Non-linear Schrödinger Equations
Explore probabilistic and deterministic scattering in non-linear Schrödinger equations, examining random initial data and wave operators through recent research findings.
Singular Stochastic PDE: More Geometry and Less Combinatorics
Explore singular stochastic PDEs through a geometric approach, focusing on renormalization, symmetry preservation, and Malliavin derivatives for characterizing expansions without divergent terms.
Mean-Field Limits for Singular Flows
Explore mean-field limits for singular flows, focusing on Coulomb and Riesz interactions in gradient and conservative systems, with insights on convergence methods.
Reversal in the Stationary Prandtl Equations
Explore reversal and recirculation in stationary Prandtl equations, examining the Goldstein singularity and analyzing the system as a quasilinear, mixed-type, free-boundary problem.