 95143 Servet Martinez, Dimitri Petritis
 Thermodynamics of a Brownian bridge polymer model in a random environment
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Mar 9, 95

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Abstract. We consider a directed random walk making either 0 or $+1$ moves and a
Brownian bridge, independent of the walk, conditionned to arrive at point
$b$ on time $T$. The Hamiltonian is defined as the sum of the square
of increments of the bridge between the moments of jump
of the random walk and interpreted as an energy function over the bridge
connfiguration; the random walk acts as the random environment.
This model provides a continuum version of a model with some relevance
to protein conformation. The thermodynamic limit of the specific
free energy is shown to exist and to be
selfaveraging, i.e. it is equal to a trivial
 explicitely computed  random variable.
An estimate of the asymptotic behaviour of the ground state energy is also
obtained.
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