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*Non-trivial*

"... linear bounds for a random walk driven by a simple symmetric exclusion process R.S. dos Santos 1 ..."

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linear bounds for a random walk driven by a simple symmetric exclusion process R.S. dos Santos 1

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AN INTRINSIC *NON-TRIVIALITY* OF GRAPHS

, 2009

"... We say that a graph is intrinsically non-trivial if every spatial embedding of the graph contains a non-trivial spatial subgraph. We prove that an intrinsically non-trivial graph is intrinsically linked, namely every spatial embedding of the graph contains a non-splittable 2-component link. We also ..."

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We say that a graph is intrinsically

*non-trivial*if every spatial embedding of the graph contains a*non-trivial*spatial subgraph. We prove that an intrinsically*non-trivial*graph is intrinsically linked, namely every spatial embedding of the graph contains a*non*-splittable 2-component link. We###
The Effective Potential of *Non-Trivial*

"... Massless O(N)-symmetric OE 4 -theory, which has a non-trivial scaling limit for a negative quartic coupling constant, is investigated in leading order of a 1=N-expansion, where a negative bare coupling naturally arises due to the non-perturbative renormalisation. The influence of an external sourc ..."

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Massless O(N)-symmetric OE 4 -theory, which has a

*non-trivial*scaling limit for a negative quartic coupling constant, is investigated in leading order of a 1=N-expansion, where a negative bare coupling naturally arises due to the*non*-perturbative renormalisation. The influence of an external###
with *Non-Trivial* Classical Background

, 1998

"... We examine a possibility to introduce a non-trivial classical background metric into the 2d Liouville gravity theory. The classical background appears as a part of the Wely factor of the physical metric of 2d surfaces with some conformal dimension. On the other hand, the rest part of the factor corr ..."

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We examine a possibility to introduce a

*non-trivial*classical background metric into the 2d Liouville gravity theory. The classical background appears as a part of the Wely factor of the physical metric of 2d surfaces with some conformal dimension. On the other hand, the rest part of the factor