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Monotonicity conjecture for multi-party entanglement. Part I
In this paper, we conjecture a monotonicity property that we call monotonicity under coarse-graining for a class of multi-partite entanglement...
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Monotonicity of optimized quantum f-divergence
Optimized quantum f -divergence was first introduced by Wilde and further explored by Li and Wilde later. Wilde raised the question of whether the...
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On Loops in Water Wave Branches and Monotonicity of Water Waves
We give a quite simple approach how to prove the absence of loops in bifurcation branches of water waves in rotational case with arbitrary vorticity...
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Site-Monotonicity Properties for Reflection Positive Measures with Applications to Quantum Spin Systems
We consider a general statistical mechanics model on a product of local spaces and prove that, if the corresponding measure is reflection positive,...
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A Hele-Shaw Limit Without Monotonicity
We study the incompressible limit of the porous medium equation with a right hand side representing either a source or a sink term, and an injection...
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Monotonicity Preserving Interpolation Using Rational Quartic Said-Ball Function
A curve interpolation schemeCurve interpolation scheme with \(C^1\)...
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c-functions in higher-derivative flows across dimensions
In the context of gravitational theories describing renormalization group flows across dimensions via AdS/CFT, we study the role of higher-derivative...
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Spatially Extended Systems with Monotone Dynamics (Continuous Time)
Broadly speaking, monotone dynamics means that some partial order is preserved under the dynamics, that is, if two solutions of some differential...
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Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems
We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we...
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A Green’s Function Proof of the Positive Mass Theorem
In this paper, a new proof of the Positive Mass Theorem is established through a newly discovered monotonicity formula, holding along the level sets...
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Holographic n-partite information in hyperscaling violating geometry
The n -partite information (nI) is formulated as a measure of multi-partite entanglement. Field theory computation revealed that the sign of nI is...
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On the Global Minimum of the Classical Potential Energy for Clusters Bound by Many-Body Forces
This note establishes, first of all, the monotonic increase with N of the average K -body energy of classical N -body ground state configurations with
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Measure of genuine coherence based of quasi-relative entropy
We present a genuine coherence measure based on a quasi-relative entropy as a difference between quasi-entropies of the dephased and the original...
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Averaged null energy and the renormalization group
We establish a connection between the averaged null energy condition (ANEC) and the monotonicity of the renormalization group, by studying the...
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Black hole extremality in nonlinear electrodynamics: a lesson for weak gravity and Festina Lente bounds
We study black hole extremality in nonlinear electrodynamics motivated by the Weak Gravity Conjecture (WGC) and the Festina Lente (FL) bound. For...
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Planar RG flows on line defects
We study a class of renormalization group flows on line defects that can be described by a generalized free field with ordered planar contractions on...
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Quantifying Unsharpness of Observables in an Outcome-Independent way
Recently, in the paper (Liu and Luo, Phys. Rev. A 104 , 052227, 2021) a very beautiful measure of the unsharpness (fuzziness) of the observables...
