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View article: Two-sided prudent walks: a solvable non-directed model of polymer adsorption
Two-sided prudent walks: a solvable non-directed model of polymer adsorption Open
Prudent walks are self-avoiding walks which cannot step towards an already\noccupied vertex. We introduce a new model of adsorbing prudent walks on the\nsquare lattice, which start on an impenetrable surface and accrue a fugacity\n$a$ with…
View article: A solvable non-directed model of polymer adsorption
A solvable non-directed model of polymer adsorption Open
Prudent walks are self-avoiding walks which cannot step towards an already occupied vertex. We introduce a new model of adsorbing prudent walks on the square lattice, which start on an impenetrable surface and accrue a fugacity $a$ with ea…
View article: Phase Transitions in Polymeric Systems: A Directed Walk Study
Phase Transitions in Polymeric Systems: A Directed Walk Study Open
In this thesis several classes of directed paths are considered as models
\nof linear polymers in a dilute solution. We obtain the generating functions for
\neach model by considering factorization arguments.
\nInformation about the polym…
View article: Some Motzkin path models of random and periodic copolymers
Some Motzkin path models of random and periodic copolymers Open
Motzkin paths are one of several directed walk models of polymers which have been used to investigate configurational properties. They have the advantage, like Dyck paths, that the models can often be solved exactly, and they have a furthe…