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This paper deals with the theory of structure, stability, robustness, and stabilization for an appealing class of nonlinear systems which arises in the analysis of chemical networks. The results given here extend, but are also heavily based…

Dynamical Systems · Mathematics 2007-05-23 Eduardo D Sontag

We comment on a work by T. Liverpool (Phys. Rev. E 101 (2020)). We show that a theorem stated in that work is not correct. While this is inconsequential to the bulk of the work (and holds asymptotically as we show), it is instructive to…

Statistical Mechanics · Physics 2023-11-09 Horst-Holger Boltz , Thomas Ihle

A reply to the comment by V. R. Shaginyan et al. [Phys. Rev. Lett. 107, 279701 (2011), arXiv:1206.5372] on our article [Phys. Rev. Lett. 106, 137002 (2011), arXiv:1012.0303].

Strongly Correlated Electrons · Physics 2012-07-06 Andreas Hackl , Matthias Vojta

In the comment to the article by J.Baez and K.Krasnov (hep-th/9703112) are discussed some topics related with application of certain constructions to non-trivial principal bundles.

Mathematical Physics · Physics 2010-05-11 Alexander Yu. Vlasov

Reply to a comment on "Infinite-Cluster geometry in central-force networks", PRL 78 (1997), 1480. A discussion about the order of the rigidity percolation transition.

Statistical Mechanics · Physics 2009-10-31 Phillip M. Duxbury , Cristian F. Moukarzel , Paul L. Leath

Recent experimental observation of inertial spin dynamics calls upon holistic reevaluation of the theoretical framework of magnetic resonance in ferromagnets. Here, we derive the secular equation of an inertial spin system in analogy to the…

Mesoscale and Nanoscale Physics · Physics 2022-08-30 Mikhail Cherkasskii , Igor Barsukov , Ritwik Mondal , Michael Farle , Anna Semisalova

This is the rejoinder for discussion of "Multinomial Inverse Regression for Text Analysis", Journal of the American Statistical Association 108, 2013.

Applications · Statistics 2013-08-09 Matt Taddy

Some aspects of a recent paper about protein-membrane interaction are inadequate due to lack of structural information.

Biological Physics · Physics 2007-05-23 Julian Juhi-Lian Ting

Reply to ``Comment on [Phys. Rev. Lett. 81, 630 (1998)]''

Statistical Mechanics · Physics 2009-10-31 L. A. Braunstein , R. C. Buceta , N. Giovambattista

GGR News: we hear that..., by David Garfinkle What's new in LIGO, by David Shoemaker News from NSF, by Pedro Marronetti Citation counts and indicies: Beware of bad data, by Clifford Will Research Briefs: Results from Planck, by William…

General Relativity and Quantum Cosmology · Physics 2013-09-26 David Garfinkle

This is a comment on "How to Observe Coherent Electron Dynamics Directly" [H. J. Suominen and A. Kirrander, Phys. Rev. Lett. 112, 043002 (2014)].

Atomic Physics · Physics 2014-08-07 Robin Santra , Gopal Dixit , Jan Malte Slowik

In this manuscript using the asymptotic method of multiscale nonlinear theory we construct a nonlinear theory of the appearance of large-scale structures in the stratified conductive medium with the presence of small-scale oscillations of…

Earth and Planetary Astrophysics · Physics 2016-12-30 M. I. Kopp , A. V. Tur , V. V. Yanovsky

The monograph is concerned with some key problems of the theory of nonlinear economic dynamics. The authors' concept consists in analyzing the problem of structural instability of economic systems within the framework of the synergetic…

Adaptation and Self-Organizing Systems · Physics 2007-06-14 Anatoly V. Voronin , Sergey I. Chernyshov

We investigate the stability and geometrically non-linear dynamics of slender rods made of a linear isotropic poroelastic material. Dimensional reduction leads to the evolution equation for the shape of the poroelastica where, in addition…

Soft Condensed Matter · Physics 2016-08-31 J. M. Skotheim , L. Mahadevan

The discrete modeling of a large class of mechanical structures can be based on a stick-and-spring concept. We here present a stick-and-spring theory with potential application to the statics and the dynamics of such nanostructures as…

Materials Science · Physics 2013-07-16 Antonino Favata , Andrea Micheletti , Paolo Podio-Guidugli

Survey article on representation stability and examples in algebraic geometry and topology, written for the Notices of the AMS.

Commutative Algebra · Mathematics 2019-12-25 Steven V Sam

This document comes as supplementary material of the paper Stability in Gagliardo-Nirenberg inequalities by the same authors. It is intended to state a number of classical or elementary statements concerning constants and inequalities for…

Analysis of PDEs · Mathematics 2020-07-08 Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov

Comment on the paper J. Solsvik and E. Manger, "Kinetic theory models for granular mixtures with unequal granular temperature: Hydrodynamic velocity," Phys. Fluids \textbf{33}, 043321 (2021).

Soft Condensed Matter · Physics 2021-08-17 Vicente Garzó

I present briefly some facts about nonequilibrium renormalized perturbation theory, correcting recent misleading statements in [E. Mu\~noz, F. Zamani, L. Merker, T. A. Costi, and S. Kirchner, Journal of Physics: Conf. Series 807, 092001…

Strongly Correlated Electrons · Physics 2017-06-20 A. A. Aligia

We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a…

Analysis of PDEs · Mathematics 2026-01-19 Manuel Friedrich , José Matias , Elvira Zappale