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An Elimination Theorem for regular behaviours with integration
[chapter]

1993
*
Lecture Notes in Computer Science
*

We determine a proper subdomain of the

doi:10.1007/3-540-57208-2_30
fatcat:54bld6mocbbghdmzg3bw3oaffe
*regular*processes*for*which*an**elimination**theorem*holds, namely,*for*each pair of processes p0 ; p1 in this class there is a process q in this class such that p0kp1 ... This chapter deals*with**an*extension of the process algebra ACP*with*rational time and*integration*. ... In this chapter, we set out to deduce*an**elimination**theorem**for**regular*processes in timed ACP*with**integration*. ...##
###
Page 5988 of Mathematical Reviews Vol. , Issue 94j
[page]

1994
*
Mathematical Reviews
*

{

*For*the entire collection see MR 94f:68021.} 94j:68184 68Q60 68Q65 68Q70 Fokkink, Willem Jan (NL-MATH; Amsterdam)*An**elimination**theorem**for**regular**behaviours**with**integration*. ... We indicate a subdomain of*regular*processes*for*which*an**elimination**theorem*holds:*for*each pair of processes p,q in this class there is a process z in this class such that p||q and z have the same*behaviour*...##
###
Black-hole solutions with scalar hair in Einstein-scalar-Gauss-Bonnet theories

2018
*
Physical Review D
*

The solution

doi:10.1103/physrevd.97.084037
fatcat:yxop75thonft7dofcmyrq3roei
*for*the scalar field and the profile of the corresponding energy-momentum tensor, depending on the value of the coupling constant, may exhibit a non-monotonic*behaviour*,*an*unusual feature ... Our numerical analysis then always leads to families of*regular*, asymptotically-flat black-hole solutions*with*non-trivial scalar hair. ... a*regular*blackhole horizon regime and*an*asymptotically-flat regime may be smoothly connected, and thus the no-hair*theorems*may be evaded. ...##
###
Non ergodic particle motion in a C0 potential

1985
*
Journal de Physique
*

of the Hamiltonian function, no sign of chaotic

doi:10.1051/jphys:01985004604049500
fatcat:pby3c5uofvf5lp2n6nqf4iu7ua
*behaviour*is detected*for*moderate values of h and*for*time intervals of physical significance. ... A formal*integral*of motion is calculated that can, in certain cases, describe in a satisfactory way the ordered trajectory*behaviour*. Tome 46 No 4 AVRIL 1985 LE JOURNAL DE PHYSIQUE J. ... Contopoulos*for*his valuable aid during the first stages of this work. ...##
###
Page 2535 of Mathematical Reviews Vol. , Issue 2000d
[page]

2000
*
Mathematical Reviews
*

*For*the matrix algebra, the present authors show that, conversely, this

*behaviour*actually characterizes the idempotents. ... This result extends the known result

*for*strongly z-

*regular*rings: a module satisfies Fitting’s lemma if and only if its endomorphism ring is a strongly z-

*regular*ring. ...

##
###
Canonical perturbation theory of Anosov systems, and regularity results for the Livsic cohomology equation

1985
*
Bulletin of the American Mathematical Society
*

Typically, /o is

doi:10.1090/s0273-0979-1985-15298-x
fatcat:h7q2dyexkbcl3kjdpp44vumek4
*an**integrable*system, but there are nonintegrable systems whose*behaviour*is also known in great detail, and one could consider perturbation theories*for*them. ... Its proof is based on*an*analogue of*Theorem*1*for*flows, so that, under the compatability conditions, we can solve the cohomology equation on each energy surface, and the differentiability*with*respect ...##
###
The solar system between order and chaos

2013
*
Lettera Matematica
*

Laskar, using the secular system introduced by Lagrange, showed that the orbits of the planets in a realistic model of the solar system are chaotic

doi:10.1007/s40329-013-0002-4
fatcat:zg5towfmkrfvne7qubnuj3y4jy
*with*a Lyapounov exponent of 1/(5 Myrs). ...*An*important step forward was taken in 1954 by Andrei Nikolaevich Kolmogorov,*with*the statement of the*theorem*of persistence of quasiperiodic orbits in quasi-*integrable*Hamiltonian systems. ... of*an*instable*behaviour**for*a topologically generic set of initial conditions, and a stable and quasiperiodic*behaviour**for*a probabilistically generic set of initial conditions. ...##
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Asymptotics of Feynman diagrams and the Mellin–Barnes representation

2005
*
Physics Letters B
*

mapping

doi:10.1016/j.physletb.2005.08.126
fatcat:mkyrqv3hlrcetfqawdcnxsrl7i
*theorem*, provide a very simple and efficient way to obtain the analytic asymptotic*behaviours*in both the large and small ratios of mass scales. ... It is shown that the*integral*representation of Feynman diagrams in terms of the traditional Feynman parameters, when combined*with*properties of the Mellin--Barnes representation and the so called converse ... Acknowledgments We are grateful to Marc Knecht and Santi Peris*for*discussions and suggestions. This work has been supported in part by TMR, EC-Contract No. HPRN-CT-2002-00311 (EURIDICE). ...##
###
Page 7044 of Mathematical Reviews Vol. , Issue 92m
[page]

1992
*
Mathematical Reviews
*

*For*simplicity, a system Ux =c, where U is

*an*nxn upper triangular matrix

*with*1’s on its diagonal, is considered. ... Based on the same integrand eval- uations that we need

*for*approximating the

*integral*, one may,

*for*many quadrature rules, compute a sequence of null rule approxi- mations. ...

##
###
Behaviour of the wave function near the origin in the radial case
[article]

2005
*
arXiv
*
pre-print

We give one more proof in two and three space dimensions that the irregular solution of the Schrodinger equation,

arXiv:quant-ph/0411196v2
fatcat:4lizzfpjavarthrvus4454rca4
*for*zero angular momentum, is in fact the solution of*an*equation containing*an*extra ' ... We propose another criterium to*eliminate*the irregular solution which is to require the validity of the virial*theorem*of which we give a general proof in the classical and quantum cases. ... Introduction These pedagogical remarks were stimulated by*an*exchange of ideas*with*Yves Cantelaube. ...##
###
On the long time behaviour of a generalized KdV equation

1986
*
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
*

We obtain the detailed large distance

doi:10.1007/bf00046976
fatcat:lyp57fb6zzewrcinpt6vljnwoa
*behaviour*of the fundamental solution of the linear problem and show that*for*ot/>12 and it > a + ~ + (a2+ 3a + 4~) 1/2, solutions of the nonlinear equation*with*small ... We consider the Cauchy problem*for*the generalized Korteweg-de Vries equation ~,u + O~(-O~)~u + a~( u----A ) = O where ~ is a positive real and it*an*integer larger than 1. ... The asymptotic*behaviour*of g(x)*for*x--~-oo and x--* +oo*for*any > 0 is given in*Theorem*3.1 below. g(X) ~----COS(~ 2a+l + X~) d E (3.3) Let lS --2a + l and a>0. ...##
###
Vortex solutions of the Liouville equation
[article]

1998
*
arXiv
*
pre-print

This allows us to prove that the solution depends on 4N parameters without the use of

arXiv:hep-th/9805161v1
fatcat:abweytwcebh47er2gcmympciqy
*an*index*theorem*, as well as the flux quantization : Φ=-4Nπ(sign κ). ... The most general vortex solution of the Liouville equation (which arises in non-relativistic Chern-Simons theory) is associated*with*rational functions, f(z)=P(z)/Q(z) where P(z) and Q(z) are both polynomials ... function, the flux Φ = −(1/κ) ̺ d 2 x can be converted, by Stokes*theorem*, into*an**integral*at infinity, to yield (1.12). ...##
###
Page 6332 of Mathematical Reviews Vol. , Issue 93k
[page]

1993
*
Mathematical Reviews
*

*An*autonomous second- order equation is obtained

*for*the deviation of semi-axes from the resonance surface. This equation has

*an*energy

*integral*and is ana- lytically

*integrated*by quadratures. ... Meshcherskii’s unified law,

*an*

*integral*exists that is analogous to the Jacobi

*integral*in the classical restricted, circular three-body problem

*with*constant masses. ...

##
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Unified approach to numerical transfer matrix methods for disordered systems : applications to mixed crystals and to elasticity percolation

1985
*
Journal de Physique Lettres
*

Unified approach to numerical transfer matrix methods

doi:10.1051/jphyslet:019850046010100
fatcat:xnloiknqf5adnm5im63ydadyiq
*for*disordered systems : applications to mixed crystals and to elasticity percolation. ... Provencher*for*numerous discussions on the mixed crystal problem and J. P. Dusseault*for*mathematical comments on Gaussian*elimination*. ... Rammal*for*many helpful suggestions and B. Derrida*for*suggesting the single site*elimination*trick. We also acknowledge S. Jandl, J. Deslandes and R. ...##
###
Page 129 of Mathematical Reviews Vol. , Issue 99a
[page]

1991
*
Mathematical Reviews
*

A class of meromorphic solutions

*with*prescribed asymptotic*behaviour*is obtained from*integrals*of differential n-forms attached to highest weight representations as above. ... The Bethe Ansatz*for*the operator H, associated*with**an*elliptic 99a:17014 curve E, = C/(Z+1Z) is reviewed in Section 7. ...
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