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Geometric Renyi Divergence and its Applications in Quantum Channel Capacities

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 ......

Long-Time Behaviors of Mean-Field Interacting Particle Systems Related to McKean-Vlasov Equations

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......

Gaplessness of Landau Hamiltonians on Hyperbolic Half-planes via Coarse Geometry

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......

Absence of Eigenvalues of Analytic Quasi-Periodic Schrodinger Operators on R-d

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......

Stability of Attached Transonic Shocks in Steady Potential Flow past Three-Dimensional Wedges

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......

On Semi-classical Limit of Spatially Homogeneous Quantum Boltzmann Equation: Weak Convergence

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......

Global Hilbert Expansion for the Relativistic Vlasov-Maxwell-Boltzmann System

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......

The Controlling L-infinity-Algebra, Cohomology and Homotopy of Embedding Tensors and Lie-Leibniz Triples

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......

Einstein Metrics of Cohomogeneity One with S4m+3 as Principal Orbit

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......

Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier-Stokes-Fourier System

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......

The Resurgent Structure of Quantum Knot Invariants

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......

Averaging Principle and Normal Deviations for Multiscale Stochastic Systems

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 ......

The Ring Structure of Twisted Equivariant KK-Theory for Noncompact Lie Groups

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......

Antisymmetric Characters and Fourier Duality

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......

Intermittent Synchronization in Finite-State Random Networks Under Markov Perturbations

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......

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