Results 1  10
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1,363
with NonTrivial Classical Background
, 1998
"... We examine a possibility to introduce a nontrivial 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 nontrivial 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
1 The Nontrivial Problem of Crossdisciplinary Science and
, 2010
"... Crossdisciplinary use of science is needed to solve complex, realworld problems, but carrying out scientific research with multiple very different disciplines is in itself a nontrivial problem. Perspectives matter. In this paper we carry out a philosophical analysis of the perspectival nature of ..."
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Crossdisciplinary use of science is needed to solve complex, realworld problems, but carrying out scientific research with multiple very different disciplines is in itself a nontrivial problem. Perspectives matter. In this paper we carry out a philosophical analysis of the perspectival nature
TRANSVERSAL MAPPINGS BETWEEN MANIFOLDS AND NONTRIVIAL MEASURES ON VISIBLE PARTS
"... Abstract. Our main result explains in what sense typical visible parts of a set with large Hausdorff dimension are smaller than the set itself. This is achieved by generalizing the notation of sliced measures by means of transversal mappings, and by establishing a connection between dimensional prop ..."
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Abstract. Our main result explains in what sense typical visible parts of a set with large Hausdorff dimension are smaller than the set itself. This is achieved by generalizing the notation of sliced measures by means of transversal mappings, and by establishing a connection between dimensional
Sizeconstrained graph partitioning polytope. Part II: Nontrivial facets
, 2007
"... We consider the problem of clustering a set of items into subsets whose sizes are bounded from above and below. We formulate the problem as a graph partitioning problem and propose an integer programming model for solving it. This formulation generalizes several wellknown graph partitioning problem ..."
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We consider the problem of clustering a set of items into subsets whose sizes are bounded from above and below. We formulate the problem as a graph partitioning problem and propose an integer programming model for solving it. This formulation generalizes several wellknown graph partitioning problems from the literature like the clique partitioning problem, the equipartition problem and the kway equipartition problem. In this paper, we analyze the structure of the corresponding polytope and prove several results concerning the facial structure. Our analysis yields important results for the closely related equipartition and kway equipartition polytopes as well.
LINKS WITH TRIVIAL ALEXANDER MODULE AND NONTRIVIAL MILNOR INVARIANTS
, 2002
"... Abstract. Cochran constructed many links with Alexander module that of the unlink and some nonvanishing Milnor invariants, using as input commutators in a free group and as an invariant the longitudes of the links. We present a different and conjecturally complete construction, that uses elementary ..."
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Cited by 2 (0 self)
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properties of clasper surgery, and a different invariant, the treepart of the LMO invariant. Our method also constructs links with trivial higher Alexander modules and nontrivial Milnor invariants. 1.
A.Y.: Detecting nontrivial computation in complex dynamics
 In: ECAL 2007. Advances in Artificial Life  9th European Conference on Artificial Life
, 2007
"... Abstract. We quantify the local information dynamics at each spatiotemporal point in a complex system in terms of each element of computation: information storage, transfer and modification. Our formulation demonstrates that information modification (or nontrivial information processing) events can ..."
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Cited by 17 (11 self)
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Abstract. We quantify the local information dynamics at each spatiotemporal point in a complex system in terms of each element of computation: information storage, transfer and modification. Our formulation demonstrates that information modification (or nontrivial information processing) events
Nontrivial derivation on commutative regular algebras. Extracta mathematicae
"... The theory of derivations on operator algebras (in particular, C∗algebras, AW ∗algebras and W ∗algebras) is an important and well developed integral part of the general theory of operator algebras and modern mathematical physics (see e.g. [13], [14], [4]). It is wellknown that every derivation o ..."
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Cited by 17 (4 self)
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The theory of derivations on operator algebras (in particular, C∗algebras, AW ∗algebras and W ∗algebras) is an important and well developed integral part of the general theory of operator algebras and modern mathematical physics (see e.g. [13], [14], [4]). It is wellknown that every derivation
A categorical invariant for cubic threefolds
 Adv. Math
"... Abstract We prove a categorical version of the Torelli theorem for cubic threefolds. More precisely, we show that the nontrivial part of a semiorthogonal decomposition of the derived category of a cubic threefold characterizes its isomorphism class. ..."
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Cited by 11 (4 self)
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Abstract We prove a categorical version of the Torelli theorem for cubic threefolds. More precisely, we show that the nontrivial part of a semiorthogonal decomposition of the derived category of a cubic threefold characterizes its isomorphism class.
The Finite Temperature SU(2) Savvidy Model with a Nontrivial
, 2002
"... We calculate the complete oneloop effective potential for SU(2) gauge bosons at temperature T as a function of two variables: φ, the angle associated with a nontrivial Polyakov loop, and H, a constant background chromomagnetic field. These two variables are indicators for confinement and scale sym ..."
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We calculate the complete oneloop effective potential for SU(2) gauge bosons at temperature T as a function of two variables: φ, the angle associated with a nontrivial Polyakov loop, and H, a constant background chromomagnetic field. These two variables are indicators for confinement and scale
Exploring Euclidean Dynamical Triangulations with a Nontrivial Measure Term
, 2014
"... We investigate a nonperturbative formulation of quantum gravity defined via Euclidean dynamical triangulations (EDT) with a nontrivial measure term in the path integral. We are motivated to revisit this older formulation of dynamical triangulations by hints from renormalization group approaches tha ..."
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Cited by 1 (1 self)
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We investigate a nonperturbative formulation of quantum gravity defined via Euclidean dynamical triangulations (EDT) with a nontrivial measure term in the path integral. We are motivated to revisit this older formulation of dynamical triangulations by hints from renormalization group approaches
Results 1  10
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1,363