A central limit theorem for stochastic recursive sequences of topical operators. Abstract Let (A n) n∈N be a stationary sequence of topical (i.e. isotone and ad-ditively homogeneous) operators. Let x(n, x 0) be defined by x(0, x 0) = x 0 and x(n + 1, x 0) = A n x(n, x 0). It can modelize a wide range of systems including train or queuing networks, job-shop, timed digital circuits or parallel pr...

Some equilibrium configurations of the cholesteric unwinding transition problem are numerically computed using the Landau-de Gennes expression of the liquid cry8tal free energy den81ty The classical TIC and modulated TIC configurations are numerically obtained and the cholesteric finger structure 18 found to be m good agreement with the previous theoretical guesse8. Moreover, we report the exis...

To apply this fact we first define a context-free grammar and describe how to attach probabilities to the rules of such a grammar, in constructing a behavioral model of sentence production. A context-free grammar consists of two sets of integers, T = (1,. . , m> and C = {HZ + 1,. . ., m + n}, the terminal integers and the nontevminal integers respectively, and a set G = (Y], . . . , yh} of rewr...

A higher dimensional analogue of the dispersionless KP hierarchy is introduced. In addition to the two-dimensional “phase space” variables (k, x) of the dispersionless KP hierarchy, this hierarchy has extra spatial dimensions compactified to a two (or any even) dimensional torus. Integrability of this hierarchy and the existence of an infinite dimensional of “additional symmetries” are ensured ...

The contact map of a protein fold is a graph that represents the patterns of contacts in the fold. It is known that the contact map can be decomposed into stacks and queues. RNA secondary structures are special stacks in which the degree of each vertex is at most one and each arc has length of at least two. Waterman and Smith derived a formula for the number of RNA secondary structures of lengt...

Here, we do not have to solve any recursion relation or di erential equation explicitly to obtain critical exponents. one has to only diagonarize the scaling matrix at the xed point of RG. On the other hand, in an in nite-order phase transition, the free energy has an essential singularity, and any order derivative of the free energy does not diverge. The correlation length shows strong diverge...

We show that the commutative closure of a star-free language is either star-free or not regular anymore. Actually, this property is shown to hold exactly for the closure with respect to a partial commutation corresponding to a transitive dependence relation. Moreover, the question whether the closure of a star-free language remains star-free is decidable precisely for transitive partial commuta...

Dual system theories suggest that behavioral control is parsed between a deliberative "model-based" and a more reflexive "model-free" system. A balance of control exerted by these systems is thought to be related to dopamine neurotransmission. However, in the absence of direct measures of human dopamine, it remains unknown whether this reflects a quantitative relation with dopamine either in th...

In this paper we propose a fine-grained workflow model, based on context-free graph grammars, in which the dependency relation between the inputs and outputs of a module is explicitly specified as a bipartite graph. Using this model, we develop an access control mechanism that supports provenance-aware security views. Our security model not only protects sensitive data and modules from unauthor...