• Aucun résultat trouvé

Birkhoff's ergodic theorem

Lyapunov exponents of ergodic Schrödinger operators

Lyapunov exponents of ergodic Schrödinger operators

... T ϕ n since x 7→ x + α is ergodic for irrational α, and so for theorem 2.1 to be true. (ii) Then we prove upper estimates for the subharmonic extension of ϕ n in proposi- tion 2.1 from which we deduce in ...

179

Analysis of the one dimensional inhomogeneous Jellium model with the Birkhoff-Hopf Theorem

Analysis of the one dimensional inhomogeneous Jellium model with the Birkhoff-Hopf Theorem

... Theorem 6. For any β 0 > 0, there exists ∆β > 0 such that if there exists f such that a f N k → f on [β 0 − ∆β, β 0 + ∆β] for a subsequence N k → ∞, then f is real analytic on [β 0 − ∆β, β 0 + ∆β]. As a ...

35

Fast and slow points of Birkhoff sums

Fast and slow points of Birkhoff sums

... Theorem 1.1. Suppose that ψ : N → N satisfies ψ(n) = o(n). There exists a residual set R ⊂ C 0 (Ω) such that for any f ∈ R, E ψ (f ) is residual and of full µ-measure in Ω. If we allow α to vary in our initial ...

20

Infinite ergodic index of the ehrenfest wind-tree model

Infinite ergodic index of the ehrenfest wind-tree model

... of ergodic theory can be traced back to the Ehrenfests’ article in which the word ergodic was used for the first time with a close mathematical meaning to the current one ...infinite ergodic index, ...

15

Quantum Birkhoff–Gustavson normal form in some completely resonant cases

Quantum Birkhoff–Gustavson normal form in some completely resonant cases

... BGNF theorem in three com- pletely resonant cases 1 : 1, 1 : 2 and 1 : 3 resonances, where K is computed in the C[ z , z , h ] -basis, then we compute its symmetric Weyl quantization, and finally we deduct the one ...

8

Asymptotic analysis for Schrödinger Hamiltonians via Birkhoff–Gustavson normal form

Asymptotic analysis for Schrödinger Hamiltonians via Birkhoff–Gustavson normal form

... 5.1 Overview of the code The code consists of three modules : Math, Weyl and Birkhoff. The Math module is a functorial interface that de…nes the axioms of general (non-commutative) associative algebras over an ...

31

A Non-Conservative Harris Ergodic Theorem

A Non-Conservative Harris Ergodic Theorem

... Beyond the periodic case, several extensions to the fully non-homogeneous setting are expected, in the same vein as [ 8 ]. We can now relax the “coming down from infinity” property imposed by the generalized Doeblin ...

40

Birkhoff normal forms for Hamiltonian PDEs in their energy space

Birkhoff normal forms for Hamiltonian PDEs in their energy space

... a Birkhoff normal form technique in low ...classical Birkhoff normal form result since it concerns essentially only the low modes of the solution: schematically, given r and N if the initial data is small ...

50

Computable Convergence Rates for Subgeometrically Ergodic Markov Chains

Computable Convergence Rates for Subgeometrically Ergodic Markov Chains

... The objective of this paper is to generalize the results mentioned above in two directions. We consider Markov chains over general state space and we study general subgeometrical rates of convergence instead of ...

25

Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem

Shannon's sampling theorem, incongruent residue classes and Plancherel's theorem

... which vanish outside A. A more general result for stochastic processes was obtained by S. P. Lloyd who showed that the disjoint translates condition was equivalent to a random variable being determined by a linear ...

14

Resonances for large one-dimensional ''ergodic'' systems

Resonances for large one-dimensional ''ergodic'' systems

... Recall that Σ + 0 and Σ − k are respectively the spectra of H 0 + and H k − defined in section 1.2.2 . In Theorem 4.2 , when solving equation ( 4.3 ), one has to do it for each band B r , and, for each band and ...

86

Optimal ergodic control of nonlinear stochastic systems

Optimal ergodic control of nonlinear stochastic systems

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

41

Sensitivity analysis for stationary and ergodic queues

Sensitivity analysis for stationary and ergodic queues

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

29

Birkhoff Type Decompositions and the Baker–Campbell–Hausdorff Recursion

Birkhoff Type Decompositions and the Baker–Campbell–Hausdorff Recursion

... a Birkhoff type decomposition that was obtained from the Baker–Campbell–Hausdorff formula in our study of the Hopf algebra ap- proach of Connes and Kreimer to renormalization in perturbative quantum field ...the ...

26

Wilson’s theorem

Wilson’s theorem

... elegant theorem according to which “ upon augmenting the product of all numbers less than a given prime num- ber by the unity, it becomes divisible by that prime number ” was first stated by Waring in his ...

6

Gibbard-Satterthwaite Theorem

Gibbard-Satterthwaite Theorem

... Since then, the question of the strategic behavior of individuals during an elec- tion was raised again on several levels. Indeed for a very long time, since we find for example a letter from Pline the Younger in Roman ...

12

Theorem Proving Modulo

Theorem Proving Modulo

... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ...

31

Arrow’s (im)possibility theorem

Arrow’s (im)possibility theorem

... Before formally explaining and proving this theorem, we will in turn discuss the question it originated from, the framework and the method followed by Arrow, as well as the scope of this result. As the English ...

14

Cobham’s Theorem and Automaticity

Cobham’s Theorem and Automaticity

... Theorem 6. Let f be a b-automatic sequence and let g be a Sturmian sequence. There exists a constant C (depending on f and g) such that if f and g have a factor in common of length n, then n ≤ C. Note that this ...

17

Cauchy’s theorem and generalization

Cauchy’s theorem and generalization

... This theorem, also known as the “theorem of the mean chord ” or the “theorem of Dirac–Fucks”, was developed in 1943 by Paul Dirac and Klaus Fuchs, then working for the Manhattan ...

5

Show all 438 documents...

Sujets connexes