On Gibbs measures and topological solitons of exterior equivariant wave maps

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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Stable soliton resolution for exterior wave maps in all equivariance classes
A variational representation for certain functionals of Brownian motion
Periodic nonlinear Schrödinger equation and invariant measures
The dynamic ${\Phi^4_3}$ model comes down from infinity
Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
Scattering for wave maps exterior to a ball
Invariant measures for NLS in infinite volume
A PDE construction of the Euclidean $\Phi^4_3$ quantum field theory
The Boué-Dupuis formula and the exponential hypercontractivity in the Gaussian space
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity. I: measures
Random tensors, propagation of randomness, and nonlinear dispersive equations
A variational method for $\Phi^4_3$
Relaxation of wave maps exterior to a ball to harmonic maps for all data
Geometric wave equations
Equivariant wave maps exterior to a ball
A non-linear field theory
Weak solutions and development of singularities of the SU(2) σ‐model
An invariant measure for a nonlinear wave equation
The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model
<scp>Space‐Time</scp> Localisation for the Dynamic Model
Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three
Probability Theory
Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity II: Dynamics

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