Abstract. In this paper the relations among entropy constants of lattice statistics on plane, cylinder and torus are discussed. We show that for many statistical models, the entropy constant of a plane lattice is the same as the entropy constants of the corresponding cylindrical and toroidal lattices. As a result, we get the entropy constants of quadratic lattices on cylinder and torus. Further...

We show that the order of integration of a vector autoregressive process is equal to the difference between the multiplicity of the unit root in the characteristic equation and the multiplicity of the unit root in the adjoint matrix polynomial. The equivalence with the standard I(1) and I(2) conditions (Johansen, 1996) is proved and polynomial cointegration discussed in the general setup.

A simple cellular model for the description of the long-range multiplicity and p t correlations in high-energy nuclear collisions originating from the string fusion model is proposed. Three versions of the model: without fusion, with local and with global string fusion are formulated. A Gauss approximation which enables explicit analytical calculations of the correlation functions in some asymp...

This paper responds to a recent challenge for the validity of extrapolation of neurobiological knowledge from laboratory animals to humans. According to this challenge, experimental neurobiology, and thus neuroscience, is in a state of crisis because the knowledge produced in different laboratories hardly generalizes from one laboratory to another. Presumably, this is so because neurobiological...

It is pointed out that ambiguities in the regularization of actions with second derivatives seem to happen with the same multiplicity that the standard model of elementary particles

The intranuclear cascade model overestimates the multiplicity of produced mesons in nucleus-nucleus interactions without taking into account meson and baryon resonance production. Inclusion of the resonances leads to decreasing multiplicity of mesons, neutrons and protons. In order to overcome the problem, it is proposed to use the FRITIOF model adapted to low energies in a combination with the...

1. Preliminaries 1 2. Multiplicity free actions 8 3. Linear multiplicity free actions 15 4. Examples of multiplicity free decompositions 21 5. A recursive criterion for multiplicity free actions 33 6. The classification of linear multiplicity free actions 37 7. Invariant polynomials and differential operators 43 8. Generalized binomial coefficients 52 9. Eigenvalues for operators in PD(V ) 61 R...

We use the theta lift to study the multiplicity with which certain automorphic representations of cohomological type occur in a family of congruence covers of an arithmetic manifold. When the family of covers is a so-called p-adic congruence tower, we obtain sharp asymptotics for the number of representations that occur as lifts. When combined with theorems on the surjectivity of the theta lift...

We investigate existence and exact multiplicity of phase-locked solutions of a Ku7 ramoto system of coupled oscillators. Under general assumptions on the form of frequency distri8 bution, we derive new, easily verified criteria which guarantee that either (i) exactly one solution 9 exists, or (ii) exactly two solutions coexist over an entire interval of values of the key parameter γ. 10 We illu...