On a scattering length for additive functionals and spectrum of fractional Laplacian with a non‐local perturbation
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800254
Abstract: In this paper we study the scattering length for positive additive functionals of symmetric stable processes on Rd . The additive functionals considered here are not necessarily continuous. We prove that the semi‐classical limit of… read more here.
Keywords: perturbation; scattering length; fractional laplacian; non local ... See more keywords
Multiple hypothesis screening using mixtures of non‐local distributions with applications to genomic studies
Sign Up to like & getrecommendations! Published in 2022 at "Statistics in Medicine"
DOI: 10.1002/sim.9705
Abstract: The analysis of large‐scale datasets, especially in biomedical contexts, frequently involves a principled screening of multiple hypotheses. The celebrated two‐group model jointly models the distribution of the test statistics with mixtures of two competing densities,… read more here.
Keywords: using mixtures; genomic studies; hypothesis screening; non local ... See more keywords
Information propagation in a non-local model with emergent locality
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DOI: 10.1007/jhep04(2022)106
Abstract: Abstract In this paper, we revisit a “relatively local” model proposed in [1], where locality and dimensionality of space only emerges from the entanglement structure of the state the system is in. Various quantities such… read more here.
Keywords: emergent locality; locality; local model; information propagation ... See more keywords
Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions
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DOI: 10.1007/jhep05(2019)216
Abstract: A bstractWe derive positivity bounds on low energy effective field theories which admit gapped, analytic, unitary, Lorentz invariant, and possibly non-local UV completions, by considering 2 to 2 scatterings of Jaffe fields whose Lehmann-Källén spectral… read more here.
Keywords: non local; invariant completions; extension positivity; lorentz invariant ... See more keywords
Non-local geometry inside Lifshitz horizon
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DOI: 10.1007/jhep07(2017)056
Abstract: A bstractBased on the quantum renormalization group, we derive the bulk geometry that emerges in the holographic dual of the fermionic U(N ) vector model at a nonzero charge density. The obstruction that prohibits the… read more here.
Keywords: non local; local geometry; geometry; horizon ... See more keywords
Oscillating scalar dissipating in a medium
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DOI: 10.1007/jhep11(2021)160
Abstract: Abstract We study how oscillations of a scalar field condensate are damped due to dissipative effects in a thermal medium. Our starting point is a non-linear and non-local condensate equation of motion descending from a… read more here.
Keywords: condensate; non linear; oscillating scalar; medium ... See more keywords
Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1388-9
Abstract: In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes… read more here.
Keywords: existence solutions; boundary value; solutions nonlinear; non local ... See more keywords
Sensitivity filtering from the non-local perspective
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DOI: 10.1007/s00158-019-02303-w
Abstract: We present a mathematical model of topology optimization for non-local linear diffusion equation. The model provides a rigorous and constructive answer to the challenge of interpreting sensitivity filtering as an internal feature of a specific… read more here.
Keywords: optimization; topology; model; sensitivity filtering ... See more keywords
Constraints in thermodynamic extremal principles for non-local dissipative processes
Sign Up to like & getrecommendations! Published in 2019 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-019-00846-3
Abstract: Phenomena treated by non-equilibrium thermodynamics can be very effectively described by thermodynamic variational principles. The remarkable advantage of such an approach consists in possibility to account for an arbitrary number of constraints among state or… read more here.
Keywords: extremal principles; non local; constraints thermodynamic; thermodynamics ... See more keywords
Non-local hydrodynamics as a slow manifold for the one-dimensional kinetic equation
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DOI: 10.1007/s00161-020-00913-0
Abstract: We prove an explicit, non-local hydrodynamic closure for the linear one-dimensional kinetic equation independent on the size of the relaxation time. We compare this dynamical equation to the local approximations obtained from the Chapman–Enskog expansion… read more here.
Keywords: dimensional kinetic; hydrodynamics; kinetic equation; equation ... See more keywords
Zero-Energy Bound State Decay for Non-local Schrödinger Operators
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DOI: 10.1007/s00220-019-03515-3
Abstract: We consider solutions of the eigenvalue equation at zero energy for a class of non-local Schrödinger operators with potentials decreasing to zero at infinity. Using a path integral approach, we obtain detailed results on the… read more here.
Keywords: schr dinger; zero energy; dinger operators; local schr ... See more keywords