期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 384 (3)
Having a distance measure between quantum states satisfying the right properties is of fundamental importance in all areas of quantum information. In ......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 387 (1)
In this paper, we investigate concentration inequalities, exponential convergence in the Wasserstein metric W-1, and uniform-in-time propagation of ch......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 386 (1)
We use coarse index methods to prove that the Landau Hamiltonian on the hyperbolic half-plane, and even on much more general imperfect half-spaces, ha......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 386 (3)
In this paper we study the Schrodinger operator H = -Delta + lambda V(x) with a real analytic quasi-periodic potential V(x) defined on R-d for arbitra......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 387 (1)
We develop a new approach and employ it to establish the global existence and nonlinear structural stability of attached weak transonic shocks in stea......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 386 (1)
It is expected in physics that the homogeneous quantum Boltzmann equation with Fermi-Dirac or Bose-Einstein statistics and with Maxwell-Boltzmann oper......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 384 (1)
Consider the relativistic Vlasov-Maxwell-Boltzmann system describing the dynamics of an electron gas in the presence of a fixed ion background. Thanks......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 386 (1)
In this paper, we first construct the controlling algebras of embedding tensors and Lie-Leibniz triples, which turn out to be a graded Lie algebra and......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 386 (2)
In this article, we construct non-compact complete Einstein metrics on two infinite series of manifolds. The first series ofmanifolds are vector bundl......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 384 (3)
We prove the stability of a planar contact discontinuity without shear, a family of special discontinuous solutions for the three-dimensional full Eul......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 386 (1)
The asymptotic expansion of quantum knot invariants in complex Chern-Simons theory gives rise to factorially divergent formal power series. We conject......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 383 (3)
We study the asymptotic behavior for an inhomogeneous multiscale stochastic dynamical system with non-smooth coefficients. Depending on the averaging ......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 385 (2)
Let G be a connected semi-simple Lie group with torsion-free fundamental group. We showthat the twisted equivariant KK-theory KK center dot G (G/K, ta......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 384 (1)
Inspired by the quantum McKay correspondence, we consider the classical ADE Lie theory as a quantum theory over sl(2). We introduce anti-symmetric cha......
期刊: COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021; 384 (3)
By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resultin......