# Journal of Statistical Physics

Journal of Statistical Physics > 2014 > 154 > 1-2 > 214-264

Journal of Statistical Physics > 2014 > 154 > 1-2 > 432-465

Journal of Statistical Physics > 2014 > 154 > 1-2 > 58-90

Journal of Statistical Physics > 2014 > 154 > 1-2 > 623-631

Journal of Statistical Physics > 2014 > 154 > 1-2 > 543-587

Journal of Statistical Physics > 2014 > 154 > 1-2 > 91-112

*G*, in the classification of gapped ground state phases of quantum spin systems. We consider two representations of

*G*on infinite subsystems. First, in arbitrary dimensions, we show that the ground state spaces of models within the same

*G*-symmetric phase carry equivalent representations of the group for each finite or infinite sublattice on which they...

Journal of Statistical Physics > 2014 > 154 > 1-2 > 356-377

Journal of Statistical Physics > 2014 > 154 > 1-2 > 286-304

Journal of Statistical Physics > 2014 > 154 > 1-2 > 421-431

Journal of Statistical Physics > 2014 > 154 > 1-2 > 204-213

Journal of Statistical Physics > 2014 > 154 > 1-2 > 588-609

Journal of Statistical Physics > 2014 > 154 > 1-2 > 153-187

Journal of Statistical Physics > 2014 > 154 > 1-2 > 491-502

*S*weakly interacting with a very large but finite system

*B*called the heat bath, and suppose that the composite

*S*∪

*B*is in a pure state

*Ψ*with participating energies between

*E*and

*E*+

*δ*with small

*δ*. Then, it is known that for most

*Ψ*the reduced density matrix of

*S*is (approximately) equal to the canonical density matrix. That is, the reduced density matrix is universal in the...

Journal of Statistical Physics > 2014 > 154 > 1-2 > 610-622

Journal of Statistical Physics > 2014 > 154 > 1-2 > 466-490

*N*real variables over (

*N*−1)-dimensional sphere is one of the simplest, yet paradigmatic problems in Optimization Theory known as the “trust region subproblem” or “constraint least square problem”. When both terms in the cost function are random this amounts to studying the ground state energy of the...

Journal of Statistical Physics > 2014 > 154 > 1-2 > 51-57

*E*(

*P*)≈

*E*(0)+

*P*

^{2}/2

*M*of the translation invariant system constrained to have momentum

*P*and 2. the mass

*M*of a simple particle in an arbitrary slowly varying...

Journal of Statistical Physics > 2014 > 154 > 1-2 > 327-333

*ω*(

*n*) and establish new Erdős-Kac type results.

Journal of Statistical Physics > 2014 > 154 > 1-2 > 503-521

*J*-selfadjoint operators in the Hilbert spaces with indefinite metric. Our main result is an application to the eigenfunction expansion for the linearized relativistic Ginzburg–Landau equation.

Journal of Statistical Physics > 2014 > 154 > 1-2 > 2-50

*N*-body Bargmann space of analytic functions. In a previous paper (Rougerie...