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1.
2.
J. P. Eckmann 《Numerische Mathematik》1976,26(1):27-37
Summary We give an algorithm for the computation of the Galois group of the splitting field of polynomials in two variables with integer coefficients over the quotient field (), (the rational functions in ). The algorithm uses a constructive version of the Newton polygon method and analytic continuations.Supported in part by the Fonds National Suisse 相似文献
3.
4.
Beno Eckmann 《Commentarii Mathematici Helvetici》1942,15(1):358-366
Ohne Zusammenfassung 相似文献
5.
Beno Eckmann 《Commentarii Mathematici Helvetici》1942,15(1):318-339
Ohne Zusammenfassung 相似文献
6.
We consider networks of massive particles connected by non-linear springs. Some particles interact with heat baths at different temperatures, which are modeled as stochastic driving forces. The structure of the network is arbitrary, but the motion of each particle is 1D. For polynomial interactions, we give sufficient conditions for Hörmander’s “bracket condition” to hold, which implies the uniqueness of the steady state (if it exists), as well as the controllability of the associated system in control theory. These conditions are constructive; they are formulated in terms of inequivalence of the forces (modulo translations) and/or conditions on the topology of the connections. We illustrate our results with examples, including “conducting chains” of variable cross-section. This then extends the results for a simple chain obtained in Eckmann et al. in (Commun Math Phys 201:657–697, 1999). 相似文献
7.
We consider the stochastic Ginzburg–Landau equation in a bounded domain. We assume the stochastic forcing acts only on high
spatial frequencies. The low-lying frequencies are then only connected to this forcing through the non-linear (cubic) term
of the Ginzburg–Landau equation. Under these assumptions, we show that the stochastic PDE has a unique invariant measure. The techniques of proof combine a controllability argument for thelow-lying frequencies with an infinite
dimensional version of the Malliavin calculus to show positivity and regularity of the invariant measure. This then implies
the uniqueness of that measure.
Received: 10 September 2000 / Accepted: 13 December 2000 相似文献
8.
We study a few problems related to Markov processes of flipping triangulations of the sphere. We show that these processes
are ergodic and mixing, but find a natural example which does not satisfy detailed balance. In this example, the expected
distribution of the degrees of the nodes seems to follow the power law d
−4. 相似文献
9.
We consider front solutions of the Swift–Hohenberg equation ∂
t
u= -(1+ ∂
x
2)2
u + ɛ2
u -u
3. These are traveling waves which leave in their wake a periodic pattern in the laboratory frame. Using renormalization techniques
and a decomposition into Bloch waves, we show the non-linear stability of these solutions. It turns out that this problem
is closely related to the question of stability of the trivial solution for the model problem ∂
t
u(x,t) = ∂
x
2
u (x,t)+(1+tanh(x-ct))u(x,t)+u(x,t)
p
with p>3. In particular, we show that the instability of the perturbation ahead of the front is entirely compensated by a diffusive
stabilization which sets in once the perturbation has hit the bulk behind the front.
Received: 23 February 2001 / Accepted: 27 August 2001 相似文献
10.
Liao Z Lampe JW Ayyaswamy PS Eckmann DM Dmochowski IJ 《Langmuir : the ACS journal of surfaces and colloids》2011,27(21):12775-12781
Protein assembly at the air-water interface (AWI) occurs naturally in many biological processes and provides a method for creating biomaterials. However, the factors that control protein self-assembly at the AWI and the dynamic processes that occur during adsorption are still underexplored. Using fluorescence microscopy, we investigated assembly at the AWI of a model protein, human serum albumin minimally labeled with Texas Red fluorophore. Static and dynamic information was obtained under low subphase concentrations. By varying the solution protein concentration, ionic strength, and redox state, we changed the microstructure of protein assembly at the AWI accordingly. The addition of pluronic surfactant caused phase segregation to occur at the AWI, with fluid surfactant domains and more rigid protein domains revealed by fluorescence recovery after photobleaching experiments. Protein domains were observed to coalesce during this competitive adsorption process. 相似文献