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Displaying 1201 – 1220 of 5449

Effective algebraic geometry and normal forms of reversible mappings.

Alain Jacquemard, Marco Antonio Teixeira (2002)

Revista Matemática Complutense

We present a new method to compute normal forms, applied to the germs of reversible mappings. We translate the classification problem of these germs to the theory of ideals in the space of the coefficients of their jets. Integral factorization coupled with Gröbner basis constructionjs the key factor that makes the process efficient. We also show that a language with typed objects like AXIOM is very convenient to solve these kinds of problems.

Effondrement, spectre et propriétés diophantiennes des flots riemanniens

Pierre Jammes (2010)

Annales de l’institut Fourier

On étudie le comportement des premières valeurs propres du laplacien agissant sur les formes différentielles lors d’un effondrement adiabatique d’un flot riemannien $ℱ$ sur une variété compacte $M$ . Le nombre de petites valeurs propres peut alors se calculer en fonction de la cohomologie basique de $ℱ$ , et on donne des critères spectraux pour l’annulation des classes d’Álvarez et d’Euler du flot. En outre, on définit un invariant de nature diophantienne du flot qui est lié au comportement asymptotique...

Effondrements et petites valeurs propres des formes différentielles

Pierre Jammes (2004/2005)

Séminaire de théorie spectrale et géométrie

À courbure et diamètre bornés, les valeurs propres non nulles du laplacien de Hodge-de Rham agissant sur les formes différentielles d’une variété compacte ne sont pas uniformément minorées comme c’est le cas pour les fonctions, et si l’une d’elle tend vers zéro alors le volume de la variété tend aussi vers zéro, c’est-à-dire qu’elle s’effondre. On présente ici les résultats obtenus ces dernières années concernant le problème réciproque, à savoir déterminer le comportement asymptotique des premières...

Eigenfunction Expansions and the Pinksy Phenomenon on Compact Manifolds.

Michael Taylor (2001)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Eigenfunctions of the laplacian, quantum chaos, and computation

Dennis A. Hejhal (1995)

Journées équations aux dérivées partielles

Eigenmodes of the damped wave equation and small hyperbolic subsets

Gabriel Rivière (2014)

Annales de l’institut Fourier

We study stationary solutions of the damped wave equation on a compact and smooth Riemannian manifold without boundary. In the high frequency limit, we prove that a sequence of $β$ -damped stationary solutions cannot be completely concentrated in small neighborhoods of a small fixed hyperbolic subset made of $β$ -damped trajectories of the geodesic flow.The article also includes an appendix (by S. Nonnenmacher and the author) where we establish the existence of an inverse logarithmic strip without eigenvalues...

Eigenspaces of Invariant Differential Operators on an Affine Symmetric Space.

Toshio Oshima, Jiro Sekiguchi (1980)

Inventiones mathematicae

Eigenvalue asymptotics for Neumann Laplacian in domains with ultra-thin cusps

Victor Ivrii (1998/1999)

Séminaire Équations aux dérivées partielles

Asymptotics with sharp remainder estimates are recovered for number $N (τ)$ of eigenvalues of the generalized Maxwell problem and for related Laplacians which are similar to Neumann Laplacian. We consider domains with ultra-thin cusps (with $exp (- | x |^{m + 1}$ ) width ; $m > 0$ ) and recover eigenvalue asymptotics with sharp remainder estimates.

Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations

Johannes Sjöstrand (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

In this work we extend a previous work about the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint differential operators with small multiplicative random perturbations, by treating the case of operators on compact manifolds

Eigenvalue estimates for a class of operators related to self-similar measures

Michael Solomyak (1994)

Journées équations aux dérivées partielles

Eigenvalue estimates for the weighted laplacian on a riemannian manifold

Alberto G. Setti (1998)

Rendiconti del Seminario Matematico della Università di Padova

Eigenvalue estimates on homogeneous manifolds.

Peter Li (1980)

Commentarii mathematici Helvetici

Eigenvalue Inequalities for Minimal Submanifolds and P-Manifolds.

Antonio Ros (1984)

Mathematische Zeitschrift

Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in $𝕊^{n + 1}$

Bingqing Ma, Guangyue Huang (2013)

Communications in Mathematics

For compact hypersurfaces with constant mean curvature in the unit sphere, we give a comparison theorem between eigenvalues of the stability operator and that of the Hodge Laplacian on 1-forms. Furthermore, we also establish a comparison theorem between eigenvalues of the stability operator and that of the rough Laplacian.

Eigenvalue stability bounds via weighted Sobolov spaces.

E.B. Davies (1993)

Mathematische Zeitschrift

Eigenvalues of conformally invariant operators on spheres

Bureš, Jarolím, Souček, Vladimír (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

Eigenvalues of the Hodge Laplacian on the Heisenberg group.

Detlef Müller, Marco M. Peloso, Fulvio Ricci (2006)

Collectanea Mathematica

Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds

Paul C. Yang, Shing-Tung Yau (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Eigenvalues of the $p$ -Laplacian in $𝐑^{N}$ with indefinite weight

Yin Xi Huang (1995)

Commentationes Mathematicae Universitatis Carolinae

We consider the nonlinear eigenvalue problem $- {div (| \nabla u |}^{p - 2} {\nabla u) = λ g (x) | u |}^{p - 2} u$ in $𝐑^{N}$ with $p > 1$ . A condition on indefinite weight function $g$ is given so that the problem has a sequence of eigenvalues tending to infinity with decaying eigenfunctions in $W^{1, p} (𝐑^{N})$ . A nonexistence result is also given for the case $p \geq N$ .

Eight exactly solvable complex potentials in Bender-Boettcher quantum mechanics

Znojil, Miloslav (2001)

Proceedings of the 20th Winter School "Geometry and Physics"

This is a readable review of recent work on non-Hermitian bound state problems with complex potentials. A particular example is the generalization of the harmonic oscillator with the potentials: $V (x) = \frac{ω^{2}}{2} {(x - \frac{2 i β}{ω})}^{2} - \frac{ω}{2} .$ Other examples include complex generalizations of the Morse potential, the spiked radial harmonic potential, the Kratzer-Coulomb potential, the Rosen Morse oscillator and others. Instead of demanding Hermiticity $H = H^{*}$ the condition required is $H = P T H P T$ where $P$ changes the parity and $T$ transforms $i$ to $- i$ .

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