Asymptotically additive integrals of motion for particles with nonpairwise interaction in dimension one

Poisson bracket and integrals of motion in the problem of viscous fluid flow around an arbitrary flat contour

Journal of Physics Conference Series ◽

10.1088/1742-6596/1679/3/032086 ◽

2020 ◽

Vol 1679 ◽

pp. 032086

Author(s):

N M Bodunov ◽

V I Khaliulin

Keyword(s):

Fluid Flow ◽

Viscous Fluid ◽

Poisson Bracket ◽

Integrals Of Motion ◽

Viscous Fluid Flow

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Symmetries and integrals of motion of a superintegrable deformed oscillator

Annals of Physics ◽

10.1016/j.aop.2021.168428 ◽

2021 ◽

pp. 168428

Author(s):

Joanna Gonera ◽

Artur Jasiński ◽

Piotr Kosiński

Keyword(s):

Integrals Of Motion ◽

Deformed Oscillator

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Exact solutions for the total variation denoising problem of piecewise constant images in dimension one

Journal of Applied Analysis ◽

10.1515/jaa-2020-2031 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Riccardo Cristoferi

Keyword(s):

Exact Solution ◽

Exact Solutions ◽

Total Variation ◽

Piecewise Constant ◽

Geometrical Properties ◽

Total Variation Denoising ◽

Fidelity Term ◽

Dimension One

AbstractA method for obtaining the exact solution for the total variation denoising problem of piecewise constant images in dimension one is presented. The validity of the algorithm relies on some results concerning the behavior of the solution when the parameter λ in front of the fidelity term varies. Albeit some of them are well-known in the community, here they are proved with simple techniques based on qualitative geometrical properties of the solutions.

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Nonlinear Conditions for Ultradifferentiability

Journal of Geometric Analysis ◽

10.1007/s12220-021-00718-w ◽

2021 ◽

Author(s):

David Nicolas Nenning ◽

Armin Rainer ◽

Gerhard Schindl

Keyword(s):

General Validity ◽

Dimension One ◽

Analogous Theorem

AbstractA remarkable theorem of Joris states that a function f is $$C^\infty $$ C ∞ if two relatively prime powers of f are $$C^\infty $$ C ∞ . Recently, Thilliez showed that an analogous theorem holds in Denjoy–Carleman classes of Roumieu type. We prove that a division property, equivalent to Joris’s result, is valid in a wide variety of ultradifferentiable classes. Generally speaking, it holds in all dimensions for non-quasianalytic classes. In the quasianalytic case we have general validity in dimension one, but we also get validity in all dimensions for certain quasianalytic classes.

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