29 citations · 76 across the 6 of their papers we have counts for
6 papers
Continuous symmetry breaking along the Nishimori line
Christophe Garban, Thomas Spencer
We prove continuous symmetry breaking in three dimensions for a special class of disordered models described by the Nishimori line. The spins take values in a group such as $\mathb…
Global well-posedness for the cubic nonlinear Schr{ö}dinger equation with initial lying in -based Sobolev spaces
Benjamin Dodson, Avraham Soffer, Thomas Spencer
In this paper we continue our study [DSS20] of the nonlinear Schrödinger equation (NLS) with bounded initial data which do not vanish at infinity. Local well-posedness on $\mathbb{…
The nonlinear Schrodinger equation on Z and R with bounded initial data: examples and conjectures
Benjamin Dodson, Avraham Soffer, Thomas Spencer
We study the nonlinear Schrödinger equation (NLS) with bounded initial data which does not vanish at infinity. Examples include periodic, quasi-periodic and random initial data. On…
Bounds on the Lyapunov exponent via crude estimates on the density of states
Mira Shamis, Thomas Spencer
We study the Chirikov (standard) map at large coupling , and prove that the Lyapounov exponent of the associated Schroedinger operator is of order except for a set…
A strong central limit theorem for a class of random surfaces
Joseph G. Conlon, Thomas Spencer
This paper is concerned with dimensional lattice field models with action $V(\naϕ(\cdot))$, where $V:\R^d\ra \R$ is a uniformly convex function. The fluctuations of the varia…
Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
T. Spencer, M. R. Zirnbauer
Non-linear sigma models that arise from the supersymmetric approach to disordered electron systems contain a non-compact bosonic sector. We study the model with target space H^2, t…