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An Elimination Theorem for regular behaviours with integration [chapter]

Willem Jan Fokkink
1993 Lecture Notes in Computer Science  
We determine a proper subdomain of the 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.  ... 
doi:10.1007/3-540-57208-2_30 fatcat:54bld6mocbbghdmzg3bw3oaffe

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

G. Antoniou, A. Bakopoulos, P. Kanti
2018 Physical Review D  
The solution 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.  ... 
doi:10.1103/physrevd.97.084037 fatcat:yxop75thonft7dofcmyrq3roei

Non ergodic particle motion in a C0 potential

H. Varvoglis
1985 Journal de Physique  
of the Hamiltonian function, no sign of chaotic 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.  ... 
doi:10.1051/jphys:01985004604049500 fatcat:pby3c5uofvf5lp2n6nqf4iu7ua

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

R. de la Llave, J. M. Marco, R. Moriyón
1985 Bulletin of the American Mathematical Society  
Typically, /o is 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  ... 
doi:10.1090/s0273-0979-1985-15298-x fatcat:h7q2dyexkbcl3kjdpp44vumek4

The solar system between order and chaos

Stefano Marmi
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 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.  ... 
doi:10.1007/s40329-013-0002-4 fatcat:zg5towfmkrfvne7qubnuj3y4jy

Asymptotics of Feynman diagrams and the Mellin–Barnes representation

Samuel Friot, David Greynat, Eduardo de Rafael
2005 Physics Letters B  
mapping 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).  ... 
doi:10.1016/j.physletb.2005.08.126 fatcat:mkyrqv3hlrcetfqawdcnxsrl7i

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]

Andre Martin
2005 arXiv   pre-print
We give one more proof in two and three space dimensions that the irregular solution of the Schrodinger equation, 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.  ... 
arXiv:quant-ph/0411196v2 fatcat:4lizzfpjavarthrvus4454rca4

On the long time behaviour of a generalized KdV equation

A. Sidi, C. Sulem, P. L. Sulem
1986 Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications  
We obtain the detailed large distance 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.  ... 
doi:10.1007/bf00046976 fatcat:lyp57fb6zzewrcinpt6vljnwoa

Vortex solutions of the Liouville equation [article]

P. A. Horváthy, J.-C. Yéra
1998 arXiv   pre-print
This allows us to prove that the solution depends on 4N parameters without the use of 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).  ... 
arXiv:hep-th/9805161v1 fatcat:abweytwcebh47er2gcmympciqy

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.  ... 

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

M.A. Lemieux, P. Breton, A.-M.S. Tremblay
1985 Journal de Physique Lettres  
Unified approach to numerical transfer matrix methods 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.  ... 
doi:10.1051/jphyslet:019850046010100 fatcat:xnloiknqf5adnm5im63ydadyiq

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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